WiskundeThe bestselling book that has helped millions of readers solve any problem A must-have guide by eminent mathematician G. Polya, How to Solve It shows anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can help you attack any problem that can be reasoned out—from building a bridge to winning a game of anagrams. How to Solve It includes a heuristic dictionary with dozens of entries on how to make problems more manageable—from analogy and induction to the heuristic method of starting with a goal and working backward to something you already know. This disarmingly elementary book explains how to harness curiosity in the classroom, bring the inventive faculties of students into play, and experience the triumph of discovery. But it’s not just for the classroom. Generations of readers from all walks of life have relished Polya’s brilliantly deft instructions on stripping awa
WiskundeGeogebra 5 is de ideale hulp om je wiskundeopdrachten en taken tot een goed einde te brengen. Het pakket is gratis en zeer gebruiksvriendelijk. Dit boek is speciaal geschreven voor leerlingen vanaf 13 jaar en geeft een overzicht van de mogelijkheden van Geogebra om je te helpen bij het oplossen van oefeningen. Het is een echte wiskundige gereedschapskoffer! Alle leerstofonderdelen staan per thema gerangschikt en filmpjes geven je stap voor stap de beste manier om je oefeningen te maken. Het programma kan voor jou bijvoorbeeld: - rekenen met breuken - ontbinden in factoren - analytische meetkunde: rechte door 2 punten, cirkel,… - nulpunten van functies zoeken - rekenen met matrices - rekenen met complexe getallen - afgeleiden en integralen berekenen - … Kortom: de ideale hulp voor al jouw wiskundetaken.
WiskundeHet Wiskundig formularium wil een overzicht bieden van de belangrijkste formules uit het secundair onderwijs, zonder de volledigheid daarbij uit het oog te verliezen. Het is een ideaal naslagwerk voor leerlingen uit het middelbaar onderwijs of studenten uit het hoger onderwijs. Het werd geschreven vanuit mijn ervaringen als lesgever in de tweede en derde graad en als monitor op het monitoraat aan de faculteit wetenschappen van uGent. Dit boek bevat het hoofdstuk Goniometrie uit het formularium. Dit deel werd het eerst gepubliceerd. De andere delen over ruimtemeetkunde, statistiek, algebra,... zijn op dit moment nog in ontwikkeling maar mag je later dit jaar verwachten.
WiskundeEen boek over GeoGebra speciaal geschreven door en voor leerkrachten, met aandacht voor didactiek en een stapsgewijze aanpak. Een onmisbare handleiding voor de leerkracht. Het boek behandelt oa.: - De voornaamste vernieuwingen - De functieonderzoeker - De CAS (Computer Algebra Systeem) - module - De nieuwe mogelijkheden voor statistiek en kansrekenen - Zelf dynamische werkbladen maken - GeoGebra integreren in Smartschool - GeoGebra op je Tablet Het is geschreven vanuit het standpunt van de leerkracht en behandelt vooral de verbeteringen voor onze dagelijkse klaspraktijk. Veel leesplezier!
Wiskunde'Een van de belangrijkste boeken die ik ooit heb gelezen .' Bill Gates 'Iedereen zou dit boek moeten lezen.' de Volkskrant Op eenvoudige vragen over wereldwijde trends geven we systematisch de verkeerde antwoorden. In Feitenkennis legt hoogleraar Internationale Gezondheid en wereldfenomeen Hans Rosling uit waarom dit gebeurt. Hij presenteert daarbij tien redenen en komt zo met een radicaal nieuwe verklaring. Ons probleem is dat we niet weten wat we niet weten, en dat zelfs onze gissingen gebaseerd zijn op vooroordelen. Het blijkt dat onze wereld in een veel betere staat verkeert dan we denken. Feitenkennis zit boordevol anekdotes, aangrijpende verhalen en Roslings kenmerkende grafieken. Het is een inspirerend, onthullend en essentieel boek dat de manier waarop je de wereld ziet compleet zal veranderen. 'Feitenkennis zorgt ervoor dat je zowel meer realistisch als meer hoopvol naar de wereld kijkt. Een geweldig en belangrijk boek.' Ionica Smeets 'Zijn laatste boek over denkfouten z
Wiskunde* THE NEW YORK TIMES BESTSELLER * 'Another masterpiece from one of my favorite authors . . . If you want a brief but thorough education in numeric thinking about many of the fundamental forces that shape human life, this is the book to read. It's a tour de force' BILL GATES __________ We have never had so much information at our fingertips and yet most of us don't know how the world really works. This book explains seven of the most fundamental realities governing our survival and prosperity. From energy and food production, through our material world and its globalization, to risks, our environment and its future, How the World Really Works offers a much-needed reality check - because before we can tackle problems effectively, we must understand the facts. In this ambitious and thought-provoking book we see, for example, that globalization isn't inevitable and that our societies have been steadily increasing their dependence on fossil fuels, making their complete and rapid eliminatio
WiskundeThe International Bestseller by 'The Galileo of number crunchers' ( Independent ) Every time we choose a route to work, decide whether to go on a second date, or set aside money for a rainy day, we are making a prediction about the future. Yet from the financial crisis to ecological disasters, we routinely fail to foresee hugely significant events, often at great cost to society. The rise of 'big data' has the potential to help us predict the future, yet much of it is misleading, useless or distracting. In The Signal and the Noise , the New York Times political forecaster Nate Silver, who accurately predicted the results of every state in the 2012 US election, reveals how we can all develop better foresight in an uncertain world. From the stock market to the poker table, from earthquakes to the economy, he takes us on an enthralling insider's tour of the high-stakes world of forecasting, showing how we can all learn to detect the true signals amid a noise of data. 'Remarkable and rewa
WiskundeKrijg je duizelingen van het woord vierkantswortel? Geen paniek! Dit boek leert je op een gemakkelijke manier wiskunde onder de knie te krijgen. Het verklaart niet alleen de basisbeginselen, maar gaat ook in op de wat moeilijkere onderwerpen, zonder daarbij ingewikkelde of onbegrijpelijke taal te gebruiken. Of je nu je wiskundige kennis wil opfrissen of je kinderen wil helpen met hun huiswerk, 'Wiskunde voor Dummies' geeft je het nodige wiskundige vertrouwen... in het kwadraat! Mary Jane Sterling heeft meer dan dertig jaar wiskunde gedoceerd aan de Bradley Universiteit in Peoria, Illinois (VS).
Wiskunde'My favourite author has done it again. Numbers Don't Lie is by far his most accessible book to date, and I highly recommend it to anyone who is curious about the world. I unabashedly recommend this book to anyone who loves learning' Bill Gates Is flying dangerous? How much do the world's cows weigh? And what makes people happy? From Earth's nations and inhabitants, through the fuels and foods that energize them, to the transportation and inventions of our modern world - and how all of this affects the planet itself - in Numbers Don't Lie , Professor Vaclav Smil takes us on a fact-finding adventure, using surprising statistics and illuminating graphs to challenge lazy thinking. Smil is on a mission to make facts matter, because after all, numbers may not lie, but which truth do they convey? 'Smil's title says it all: to understand the world, you need to follow the trendlines, not the headlines. This is a compelling, fascinating, and most important, realistic portrait of the world and
Wetenschap en natuur'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the b
WiskundeIf you want to outsmart a crook, learn his tricks—Darrell Huff explains exactly how in the classic How to Lie with Statistics. From distorted graphs and biased samples to misleading averages, there are countless statistical dodges that lend cover to anyone with an ax to grind or a product to sell. With abundant examples and illustrations, Darrell Huff’s lively and engaging primer clarifies the basic principles of statistics and explains how they’re used to present information in honest and not-so-honest ways. Now even more indispensable in our data-driven world than it was when first published, How to Lie with Statistics is the book that generations of readers have relied on to keep from being fooled.
Wiskunde'Een ideaal boek om te genezen van het idee dat de energietransitie een relatief simpel proces is. Smil schrijft terecht: er zal minder veranderen dan we denken.' Maarten van Rossem 'Je kunt het eens of oneens zijn met Smil [...] maar je kunt hem beter niet negeren.' The Washington Post 'Dit boek biedt de fundamentele basis om de grootste uitdagingen van deze tijd op te lossen.' Bill Gates Door de gevolgen van klimaatverandering wordt er harder dan ooit geroepen om snelle veranderingen in onze levenswijzen en productiemethoden. Maar hoe realistisch zijn de claims dat zulke veranderingen haalbaar zijn? Vaclav Smil verdiept zich in zeven fundamentele onderwerpen die ons voortbestaan en onze welvaart bepalen. Zijn mantra: voordat je problemen effectief kunt aanpakken, moet je eerst de feiten kennen. Van energie en voedselproductie tot en met globalisering en risicomanagement: Zo zit de wereld in elkaar biedt de broodnodige realitycheck. Op basis van de nieuwste wetenschappelijke inzichte
WiskundeThe maths we learn in school can seem like an abstract set of rules, laid down by the ancients and not to be questioned. In fact, Jordan Ellenberg shows us, maths touches on everything we do, and a little mathematical knowledge reveals the hidden structures that lie beneath the world's messy and chaotic surface. In How Not to be Wrong , Ellenberg explores the mathematician's method of analyzing life, from the everyday to the cosmic, showing us which numbers to defend, which ones to ignore, and when to change the equation entirely. Along the way, he explains calculus in a single page, describes Gödel's theorem using only one-syllable words, and reveals how early you actually need to get to the airport.
WiskundeDon't simply show your data—tell a story with it! Storytelling with Data teaches you the fundamentals of data visualization and how to communicate effectively with data. You'll discover the power of storytelling and the way to make data a pivotal point in your story. The lessons in this illuminative text are grounded in theory, but made accessible through numerous real-world examples—ready for immediate application to your next graph or presentation. Storytelling is not an inherent skill, especially when it comes to data visualization, and the tools at our disposal don't make it any easier. This book demonstrates how to go beyond conventional tools to reach the root of your data, and how to use your data to create an engaging, informative, compelling story. Specifically, you'll learn how to: Understand the importance of context and audience Determine the appropriate type of graph for your situation Recognize and eliminate the clutter clouding your information Direct your audience'
Wiskunde**The First Ever Maths Book to be a No.1 Bestseller** 'Wonderful ... superb' Daily Mail What makes a bridge wobble when it's not meant to? Billions of dollars mysteriously vanish into thin air? A building rock when its resonant frequency matches a gym class leaping to Snap's 1990 hit I've Got The Power ? The answer is maths. Or, to be precise, what happens when maths goes wrong in the real world. As Matt Parker shows us, our modern lives are built on maths: computer programmes, finance, engineering. And most of the time this maths works quietly behind the scenes, until ... it doesn't. Exploring and explaining a litany of glitches, near-misses and mishaps involving the internet, big data, elections, street signs, lotteries, the Roman empire and a hapless Olympic shooting team, Matt Parker shows us the bizarre ways maths trips us up, and what this reveals about its essential place in our world. Mathematics doesn't have good 'people skills', but we would all be better off, he argues, if
Wetenschap en natuurINSTANT NEW YORK TIMES BESTSELLER “One of the most important books I’ve ever read—an indispensable guide to thinking clearly about the world.” – Bill Gates “Hans Rosling tells the story of ‘the secret silent miracle of human progress’ as only he can. But Factfulness does much more than that. It also explains why progress is so often secret and silent and teaches readers how to see it clearly.” — Melinda Gates " Factfulness by Hans Rosling, an outstanding international public health expert, is a hopeful book about the potential for human progress when we work off facts rather than our inherent biases." - Former U.S. President Barack Obama Factfulnes s: The stress-reducing habit of only carrying opinions for which you have strong supporting facts. When asked simple questions about global trends— what percentage of the world’s population live in poverty; why the world’s population is increasing; how many girls finish school —we systematically get the answers w
WiskundeEconomie raakt iedereen. Van hoog tot laag, van links tot rechts. Voor het oplossen van hedendaagse en toekomstige vraagstukken die de mensheid beroeren, zijn de bescheiden bijdragen van de economische wetenschap belangrijker dan ooit. Daarom wordt in dit nieuwe boek van de onbetwiste nestor van de beoefening van de economie in Nederland een inzicht gegeven in de actuele stand van de economische theorie alsmede aandacht gevraagd voor het oplossend vermogen van de economische wetenschap. Deze ambitie reikt verder dan het beperkte voorspellende karakter van het vakgebied. Arnold Heertje behandelt ook terreinen die in Nederland door de eenzijdige oriëntatie op financiële transacties worden verwaarloosd en daardoor de economische politiek minder trefzeker maken. De toegankelijke uiteenzettingen in Economie openen perspectief op een samenleving waarin doorgeschoten bureaucratisering, ongecoördineerde individualisering en inhumanisering wijken voor maatschappelijke architectuur. Deze wor
Wetenschap en natuurWat als één boek je zou kunnen helpen de moderne wereld te begrijpen, productievere gesprekken te voeren én beter na te denken? Al duizenden jaren gebruiken wiskundigen logica om de wereld duidelijker te maken. In Dat is toch logisch onthult Eugenia Cheng de innerlijke werking en beperkingen van logica en legt ze uit waarom emoties essentieel zijn voor hoe je denkt en communiceert. Dit boek leert je hoe je helderheid kunt vinden zonder de nuance te verliezen en hoe je zorgvuldig om kunt gaan met de complexiteit van kwesties als politiek, racisme en seksisme. Dat is toch logisch is hét boek voor iedereen die verdrinkt in de onlogica van het hedendaagse leven. Hét boek om elke discussie mee te winnen!
WiskundeDeze tweede editie van 'Statistiek voor Dummies' bevat praktische uitleg van de belangrijkste statistische begrippen, concepten, technieken en berekeningen. De aansprekende voorbeelden uit de dagelijkse praktijk maken duidelijk dat statistiek ontzettend boeiend is! Dit boek behandelt de belangrijkste methoden en onderwerpen die bij een gemiddelde statistiekopleiding de revue passeren. Het vertelt in duidelijke taal hoe je grafieken en diagrammen interpreteert, kansberekeningen uitvoert, betrouwbare schattingen doet, hypotheses test en nog veel meer. Deborah Rumsey is directeur van het Onderwijscentrum voor Wiskunde en Statistiek van de Ohio State University.
Wiskunde'A statistical national treasure' Jeremy Vine, BBC Radio 2 'Required reading for all politicians, journalists, medics and anyone who tries to influence people (or is influenced) by statistics. A tour de force ' Popular Science Do busier hospitals have higher survival rates? How many trees are there on the planet? Why do old men have big ears? David Spiegelhalter reveals the answers to these and many other questions - questions that can only be addressed using statistical science. Statistics has played a leading role in our scientific understanding of the world for centuries, yet we are all familiar with the way statistical claims can be sensationalised , particularly in the media. In the age of big data, as data science becomes established as a discipline, a basic grasp of statistical literacy is more important than ever . In The Art of Statistics , David Spiegelhalter guides the reader through the essential principles we need in order to derive knowledge from data. Drawing on real wo
WiskundeHet fascinerende verhaal over hoe de wiskunde de natuurkunde vooruithelpt, en omgekeerd Hoeveel dimensies bestaan er? Is het heelal recht of krom? Hoe symmetrisch zijn de allerkleinste deeltjes? De diepste vragen uit de natuurkunde hebben vaak een wiskundig antwoord: een getal, een vorm of een structuur. Wiskunde is dan ook de taal van de natuur. Een taal waarvoor wij soms een beetje bang zijn – maar die angst is onterecht. Wiskunde toont juist de schoonheid van de natuur, soms zelfs beter dan woorden alléén dat kunnen. De rol van de wiskunde in de natuurkunde begint al bij eenvoudig tellen. Natuurkundigen worden echter op nog veel meer manieren door de wiskunde vooruitgeholpen. We hebben meetkunde nodig om zwarte gaten te begrijpen, en in de quantummechanica worden moderne structuren als ‘groepen’ en ‘vectorruimtes’ gebruikt – abstracte concepten die een concrete natuurkundige betekenis blijken te hebben, en die ons helpen de natuur beter te begrijpen. Uiteindelijk blij
WiskundeA New York Times bestseller "Brilliant, funny…the best math teacher you never had." —San Francisco Chronicle Once considered tedious, the field of statistics is rapidly evolving into a discipline Hal Varian, chief economist at Google, has actually called "sexy." From batting averages and political polls to game shows and medical research, the real-world application of statistics continues to grow by leaps and bounds. How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more. For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation
WiskundeThese simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effo
Wiskunde'Maths at its most playful and multifarious' Jordan Ellenberg Matt Parker, author of the No.1 bestseller Humble Pi , takes us on a riotous journey through the possibilities of numbers Mathematician Matt Parker uses bizarre Klein Bottles, unimaginably small pizza slices, knots no one can untie and computers built from dominoes to reveal some of the most exotic and fascinating ideas in mathematics. Starting with simple numbers and algebra, this book goes on to deal with inconceivably big numbers in more dimensions than you ever knew existed. And always with something for you to make or do along the way. 'The book oozes with sheer joy' New Scientist 'Matt Parker is some sort of unholy fusion of a prankster, wizard and brilliant nerd - clever, funny and ever so slightly naughty' Adam Rutherford, author of Creation 'Matt Parker never got the memo about maths being boring ... he seeks to reconnect us to the numbers around us' Simon Usborne, Independent 'Essential reading' Observer
WiskundeLeonard Mlodinow's The Drunkard's Walk: How Randomness Rules Our Lives is an exhilarating, eye-opening guide to understanding our random world. Randomness and uncertainty surround everything we do. So why are we so bad at understanding them? The same tools that help us understand the random paths of molecules can be applied to the randomness that governs so many aspects of our everyday lives, from winning the lottery to road safety, and reveals the truth about the success of sporting heroes and film stars, and even how to make sense of a blood test. The Drunkard's Walk reveals the psychological illusions that prevent us understanding everything from stock-picking to wine-tasting - read it, or risk becoming another victim of chance. 'A wonderfully readable guide to how the mathematical laws of randomness affect our lives' Stephen Hawking, author of A Brief History of Time
Wetenschap en natuur'A necessary book for our times. But also just great fun' Saul Perlmutter, Nobel Laureate The world is awash in bullshit, and we're drowning in it. Politicians are unconstrained by facts. Science is conducted by press release. Start-up culture elevates hype to high art. These days, calling bullshit is a noble act. Based on a popular course at the University of Washington, Calling Bullshit gives us the tools to see through the obfuscations, deliberate and careless, that dominate every realm of our lives. In this lively guide, biologist Carl Bergstrom and statistician Jevin West show that calling bullshit is crucial to a properly functioning social group, whether it be a circle of friends, a community of researchers, or the citizens of a nation. Through six rules of thumb, they help us recognize bullshit whenever and wherever we encounter it - even within ourselves - and explain it to a crystal-loving aunt or casually racist grandfather.
WiskundeAre you smarter than a Singaporean ten-year-old? Can you beat Sherlock Holmes? If you think the answer is yes - I challenge you to solve my problems. Here are 125 of the world's best brainteasers from the last two millennia, taking us from ancient China to medieval Europe, Victorian England to modern-day Japan, with stories of espionage, mathematical breakthroughs and puzzling rivalries along the way. Pit your wits against logic puzzles and kinship riddles, pangrams and river-crossing conundrums. Some solutions rely on a touch of cunning, others call for creativity, others need mercilessly logical thought. Some can only be solved be 2 per cent of the population. All are guaranteed to sharpen your mind. Let's get puzzling!
WiskundeR is now the most widely used statistical software in academic science and it is rapidly expanding into other fields such as finance. R is almost limitlessly flexible and powerful, hence its appeal, but can be very difficult for the novice user. There are no easy pull-down menus, error messages are often cryptic and simple tasks like importing your data or exporting a graph can be difficult and frustrating. Introductory R is written for the novice user who knows a little about statistics but who hasn't yet got to grips with the ways of R. This new edition is completely revised and greatly expanded with new chapters on the basics of descriptive statistics and statistical testing, considerably more information on statistics and six new chapters on programming in R. Topics covered include A walkthrough of the basics of R's command line interface Data structures including vectors, matrices and data frames R functions and how to use them Expanding your analysis and plotting capacities with
WiskundeA hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 cha
WiskundeIn The Improbability Principle , the renowned statistician David J. Hand argues that extraordinarily rare events are anything but. In fact, they're commonplace. Not only that, we should all expect to experience a miracle roughly once every month. But Hand is no believer in superstitions, prophecies, or the paranormal. His definition of "miracle" is thoroughly rational. No mystical or supernatural explanation is necessary to understand why someone is lucky enough to win the lottery twice, or is destined to be hit by lightning three times and still survive. All we need, Hand argues, is a firm grounding in a powerful set of laws: the laws of inevitability, of truly large numbers, of selection, of the probability lever, and of near enough. Together, these constitute Hand's groundbreaking Improbability Principle. And together, they explain why we should not be so surprised to bump into a friend in a foreign country, or to come across the same unfamiliar word four times in one day. Hand wre
WiskundeIn dit boekje worden de basisbeginselen van wiskunde en algebra op heldere wijze uitgelegd. Van het rekenen met variabelen tot de stelling van Pythagoras en het oplossen van lineaire vergelijkingen. Niet alleen het 'hoe' van wiskundige regels, maar ook het 'waarom' komt daarbij aan bod, waardoor je alles veel gemakkelijker zult onthouden. 'De kleine Wiskunde voor Dummies' is een must voor iedereen die zijn wiskundige kennis wil opfrissen. Mary Jane Sterling doceert sinds 1979 wiskunde aan de Bradley Universiteit in Peoria, Illinois (VS).
Wetenschap en natuurThe Science of Secrecy from Ancient Egypt to Quantum Cryptography From the best-selling author of Fermat’s Last Theorem, The Code Book is a history of man’s urge to uncover the secrets of codes, from Egyptian puzzles to modern day computer encryptions. As in Fermat’s Last Theorem, Simon Singh brings life to an anstonishing story of puzzles, codes, languages and riddles that reveals man’s continual pursuit to disguise and uncover, and to work out the secret languages of others. Codes have influenced events throughout history, both in the stories of those who make them and those who break them. The betrayal of Mary Queen of Scots and the cracking of the enigma code that helped the Allies in World War II are major episodes in a continuing history of cryptography. In addition to stories of intrigue and warfare, Simon Singh also investigates other codes, the unravelling of genes and the rediscovery of ancient languages and most tantalisingly, the Beale ciphers, an unbroken code tha
Wetenschap en natuurIn ons dagelijks leven regent het getallen - en niet alleen als er 10 procent kans is op regen. Wat zit er achter die getallen? Wat is de logica achter een BH-maat als 70F en hoe kun je een miljoenennota van 284.500.000.000 euro begrijpen? Hoe zie je of een kortingsactie bij de supermarkt voordelig is en waarom sta je altijd in de verkeerde rij? Al tien jaar lang schrijft Ionica Smeets met glasheldere logica en veel humor over getallen voor de Volkskrant. Superlogisch bundelt haar beste columns en geeft praktische tips om de wereld beter te begrijpen - met getallen. Na het lezen van dit boek zul je op een andere manier naar getallen kijken en regelmatig in jezelf mompelen: 'Ah, zo zit dat... Superlogisch!'
WiskundeIn deze internationale bestseller laat de Franse wiskundige en YouTube-ster Mickaël Launay aan de hand van vele anekdotes uit de geschiedenis van de wiskunde zien hoe we de wereld beter begrijpen. Wiskunde moeilijk? Niet meer als je dit boek hebt gelezen. Overal om ons heen zijn getallen. Ze zijn zo onmisbaar dat we bijna vergeten hoe fundamenteel ze zijn voor onze manier van leven. In deze internationale bestseller neemt de Franse wiskundige en YouTube-ster Mickaël Launay de lezer mee op een fascinerende reis door de geschiedenis van de cijfers en laat hij aan de hand van vele anekdotes zien hoe wiskunde is ontstaan om de wereld om ons heen beter te begrijpen. Grote wiskundige ideeën ontstonden vaak onverwacht en werden door mannen én vrouwen ontwikkeld. Al in de prehistorie bestonden er ingenieuze geometrische patronen en gebruikte men 'Arabische' cijfers uit India. Later ontstonden rekenkunde en geometrie, bijvoorbeeld om het aantal schapen in een kudde te tellen of om velden t
Wetenschap en natuurHet verschil tussen een simpele staartdeling en hogere vormen van wiskunde worden in dit Elementaire Deeltje begrijpelijk uitgelegd. Gowers gaat in op onderwerpen als oneindigheid en de wortel van min één. Maar hij bespreekt ook geheel andere kwesties, zoals de vraag of het waar is dat wiskundigen opbranden na hun vijfentwintigste. De taal is helder en niet technisch, dus ook begrijpelijk als je meer een crea Bea dan een bèta Thea bent.
WiskundeIn Wiskunde is overal neemt Ben Orlin je mee op een meeslepende reis in de wonderlijke wereld van de wiskunde. Hij vertelt je wat een dobbelsteen je kan leren over een economische crisis, legt uit waarom je statistiek nooit mag vertrouwen en verklaart waarom de Death Star uit Star Wars elke wiskundige migraine bezorgt. Hij illustreert elk onderwerp in zijn boek met zijn unieke handelsmerk: heerlijk simpele tekeningen waarmee hij nooit of te nimmer een artistieke prijs zal winnen, maar die er als geen ander in slagen wiskundige begrippen glashelder uit te leggen. Van verzekeringen via stadsontwikkeling tot de loterij: met zijn wervende verhalen en vooral veel gevoel voor humor bewijst Ben Orlin als geen ander hoe wiskunde echt overal in ons leven aanwezig is.
Wiskunde“This man could plainly do for mathematics what Brian Cox has done for physics” — Sunday Times How does a genius see the world? Where and how does inspiration strike? Cédric Villani takes us on a mesmerising adventure as he wrestles with the Boltzmann equation – a new theorem that will eventually win him the most coveted prize in mathematics and a place in the mathematical history books. Along the way he encounters obstacles and setbacks, losses of faith and even brushes with madness. His story is one of courage and partnership, doubt and anxiety, elation and despair. Of ordinary family life blurring with the abstract world of mathematical physics, of theories and equations that haunt your dreams and seeking the elusive inspiration found only in a locked, darkened room. Blending science with history, biography with myth, Villani conjures up an inimitable cast: the omnipresent Einstein, mad genius Kurt Godel, and Villani’s personal hero, John Nash. Step inside the magical wo
WiskundeVan verjaardagen en geboortecijfers tot onze kijk op het verstrijken van de tijd, van overbevolking en ziekteverspreiding tot bizarre ongevallen: elk aspect van ons leven, van de wieg tot het graf, heeft als fundament de wiskunde. Veel mensen kregen dat al ingeprent op de middelbare school, toch zijn we ons nauwelijks bewust van het grote belang van de wiskunde in ons dagelijks leven: op ons werk en thuis, in de rechtbank en in het ziekenhuis. In dit fascinerende boek vertelt wiskundig bioloog Kit Yates uitzonderlijke verhalen waarbij wiskunde een doorslaggevende rol speelde en in sommige gevallen het verschil maakte tussen leven en dood.
Gevorderde wiskundeInventor and futurist Ray Kurzweil examines the next step in the evolutionary process of the union of human and machine. Kurzweil foresees the dawning of a new civilization where we will be able to transcend our biological limitations and amplify our creativity, combining our biological skills with the vastly greater capacity, speed and knowledge-sharing abilities of our creations. In practical terms, human ageing and illness will be reversed; pollution will be stopped and world hunger and poverty will be solved. There will be no clear distinction between human and machine, real reality and virtual reality. The Singularity is Near offers a view of the coming age that is both a dramatic culmination of centuries of technological ingenuity and a genuinely inspiring vision of our ultimate destiny. ‘Ray Kurzweil is the best person I know at predicting the future of artificial intelligence. His intriguing new book envisions a future in which information technologies have advan
WiskundeAn awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math , renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mat
WiskundeIn april 2015 zette een tv-presentator uit Singapore een wiskunderaadsel op zijn facebookpagina. De hersenkraker ‘Wanneer is Cheryl jarig?’ ging de hele wereld over en een discussie barstte los. Want, hoe los je deze lastige vraag op? In Wanneer is Cheryl jarig? nemen Quintijn Puite en Birgit van Dalen dit vraagstuk en nog 99 andere wiskunderaadsels en logische puzzels met je onder de loep. Ze laten zien hoe je een probleem kunt oplossen, bijvoorbeeld door terug te gaan naar de basis of juist door het van een heel andere kant te bekijken. Je wordt als lezer meegevoerd langs listige paadjes en verrassende redeneringen. Aan de hand van hints en duidelijke antwoorden kan iedereen straks lastige raadsels oplossen.
WiskundeHoe verdeel je een erfenis van 35 kamelen over 3 erfgenamen? Wat is er zo bijzonder aan het getal 142.857? Hoe stel je een groep van 10 soldaten op in rijen van 4? In De man die kon rekenen worden verhalenderwijs allerlei rekenkundige puzzels en raadsels opgelost. Tijdens een reis van Samarra naar Bagdad wordt Beremiz Samir, een jonge man met een buitengewoon wiskundig talent, voortdurend geconfronteerd met mensen die een beroep op hem doen om rekenkundige dilemma’s en ruzies op te lossen. Niet alleen weet Beremiz de dilemma’s moeiteloos uit de weg te ruimen, ook vermaakt hij zijn publiek met allerhande wiskundetrucjes en spelletjes. Voor elk schijnbaar onoplosbaar probleem heeft hij een oplossing, vaak zelfs zo eenvoudig dat de lezer zich zal afvragen waarom hij er zelf niet op kwam… Malba Tahan is het pseudoniem van Júlio César de Mello e Souza (1895 –1974), een van de meest gevierde wiskundigen van Brazilië. Hij publiceerde meer dan 100 boeken, waarvan De man die kon rek
WiskundeFrom Newton's Law of Gravity to the Black-Scholes model used by bankers to predict the markets, equations, are everywhere -- and they are fundamental to everyday life. Seventeen Equations that Changed the World examines seventeen ground-breaking equations that have altered the course of human history. He explores how Pythagoras's Theorem led to GPS and Satnav; how logarithms are applied in architecture; why imaginary numbers were important in the development of the digital camera, and what is really going on with Schrödinger's cat. Entertaining, surprising and vastly informative, Seventeen Equations that Changed the World is a highly original exploration -- and explanation -- of life on earth.
Wetenschap en natuurThe bestselling author of Fermat’s Last Theorem and The Code Book tells the story of the brilliant minds that deciphered the mysteries of the Big Bang. A fascinating exploration of the ultimate question: how was our universe created? Albert Einstein once said: ‘The most incomprehensible thing about the universe is that it is comprehensible.’ Simon Singh believes geniuses like Einstein are not the only people able to grasp the physics that govern the universe. We all can. As well as explaining what the Big Bang theory actually is and why cosmologists believe it is an accurate description of the origins of the universe, this book is also the fascinating story of the scientists who fought against the established idea of an eternal and unchanging universe. Simon Singh, renowned for making difficult ideas much less daunting than they first seem, is the perfect guide for this journey. Everybody has heard of the Big Bang Theory. But how many of us can actually claim to understand it? W
WiskundeA lively, practical, first-of-its-kind guide to understanding cold, clinical data and harnessing it to tell a persuasive story. __________ How many hours' worth of songs are on your Spotify Wrapped this year? How much is your commute time really worth? How do you work out how likely you are to get Covid based on the official statistics? How do your viewing hours track against the most popular shows on Netflix? Whether you're interested in global problems like climate change, running a business, or just grasping how few people have washed their hands between visiting the bathroom and touching you, this book will help math-lovers and math-haters alike translate the numbers that illuminate our world. Until very recently, most languages had no words for numbers greater than five - anything from six to infinity was known as 'lots'. While the numbers in our world have become increasingly complex, our brains are stuck in the past. Yet the ability to communicate and understand numbers has nev
WiskundeEmotions are powerful. In newspaper headlines and on social media, they have become the primary way of understanding the world. But strong feelings make it more difficult to see the reality behind the rhetoric. In The Art of Logic , Eugenia Cheng shows how mathematical logic can help us see things more clearly - and know when politicians and companies are trying to mislead us. First Cheng explains how to use black-and-white logic to illuminate the world around us, giving us new insight into thorny political questions like public healthcare, Black Lives Matter and Brexit. Then she explains how logic and emotions, used side-by-side, can help us not only to be more rational individuals, but also to live more thoughtfully. Clear-sighted, revelatory and filled with useful real-life examples of logic and illogic at work, The Art of Logic is an essential guide to decoding modern life.
WiskundeSlay the calculus monster with this user-friendly guide Calculus For Dummies , 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the alge
WiskundeThe System of the World by Isaac Newton. Sir Isaac Newton (1642–1727) was an English physicist and mathematician who is widely recognised as one of the most influential scientists of all time and as a key figure in the scientific revolution. This great work supplied the momentum for the Scientific Revolution and dominated physics for over 200 years. It was the ancient opinion of not a few, in the earliest ages of philosophy, that the fixed stars stood immoveable in the highest parts of the world; that, under the fixed stars the planets were carried about the sun; that the earth, us one of the planets, described an annual course about the sun, while by a diurnal motion it was in the mean time revolved about its own axis; and that the sun, as the common fire which served to warm the whole, was fixed in the centre of the universe. This was the philosophy taught of old by Philolaus, Aristarchus of Samos, Plato in his riper years, and the whole sect of the Pythagoreans; and this was the
WiskundeWhy do even well-educated people often understand so little about maths - or take a perverse pride in not being a 'numbers person'? In his now-classic book Innumeracy , John Allen Paulos answers questions such as: Why is following the stock market exactly like flipping a coin? How big is a trillion? How fast does human hair grow in mph? Can you calculate the chances that a party includes two people who have the same birthday? Paulos shows us that by arming yourself with some simple maths, you don't have to let numbers get the better of you.
WiskundeIn this Very Short Introduction, John Holland presents an introduction to the science of complexity. Using examples from biology and economics, he shows how complexity science models the behaviour of complex systems.
WiskundeAre you looking for a clear, accessible guide to mathematics that can help you brush up your skills and rediscover the key concepts and techniques? Complete Mathematics provides an invaluable, step-by-step introduction to the subject. Packed full of worked examples and useful exercises, it will guide you through the essentials quickly and easily, giving you the knowledge you need to gain maths confidence. NOT GOT MUCH TIME? One, five and ten-minute introductions to key principles to get you started. AUTHOR INSIGHTS Lots of instant help with common problems and quick tips for success, based on the author's many years of experience. TEST YOURSELF Tests in the book and online to keep track of your progress. EXTEND YOUR KNOWLEDGE Extra online articles at www.teachyourself.com to give you a richer understanding of psychology. FIVE THINGS TO REMEMBER Quick refreshers to help you remember the key facts. TRY THIS Innovative exercises illustrate what you've learnt and how to use it.
WiskundeUncover the language of our universe - numbers - in this wide-ranging whistle-stop tour of the history and majesty of mathematics. Our world simply wouldn't function if we didn't have numbers. But where do they come from? Why do we cut cake the wrong way? How can there be different sizes of infinity? All these questions and more are answered in this engaging romp through the history of numbers by acclaimed science writer, Colin Stuart. From the mathematicians who have (and haven't) shouted 'Eureka!' to the theories that affect and inform our everyday lives; Numbers shows us that maths was never boring - we were just being taught it in the wrong way. Consisting of ten bite-sized essays, there's no better guide to this fundamental science.
Wiskunde‘Another terrific book by Rob Eastaway’ SIMON SINGH ‘A delightfully accessible guide to how to play with numbers’ HANNAH FRY How many cats are there in the world? What's the chance of winning the lottery twice? And just how long does it take to count to a million? Learn how to tackle tricky maths problems with nothing but the back of an envelope, a pencil and some good old-fashioned brain power. Join Rob Eastaway as he takes an entertaining look at how to figure without a calculator. Packed with amusing anecdotes, quizzes, and handy calculation tips for every situation, Maths on the Back of an Envelope is an invaluable introduction to the art of estimation, and a welcome reminder that sometimes our own brain is the best tool we have to deal with numbers. Reviews ‘A delightfully accessible guide to how to play with numbers’ – Dr Hannah Fry, author of Hello World and The Mathematics of Love ‘Put aside those calculators and computers, and find a pen and piece of paper! In
Wiskunde*SELECTED AS ONE OF THE SUNDAY TIMES SCIENCE BOOKS OF THE YEAR* "This is an exquisitely interesting book. It's a deeply serious one too and, for those like me who have little maths, it's delightfully readable " - IAN MCEWAN "An exciting new voice in the world of science communication" - MARCUS DU SAUTOY "An extremely thoughtful, articulate and accessible insight into mathematics in the real world" - ALEX BELLOS "Kit Yates is a brilliant explainer and storyteller " - STEVEN STROGATZ __________ Maths is the story of the world around us, and the wisdom it gives us can be the difference between success and disaster. We are all doing maths all the time, from the way we communicate with each other to the way we travel, from how we work to how we relax. Many of us are aware of this. But few of us really appreciate the full power of maths - the extent to which its influence is not only in every office and every home, but also in every courtroom and hospital ward. In this eye-opening and extra
Wiskunde‘Brilliant and fascinating. No one is better at making the recondite accessible and exciting’ Bill Bryson Britain’s most famous mathematician takes us to the edge of knowledge to show us what we cannot know. Is the universe infinite? Do we know what happened before the Big Bang? Where is human consciousness located in the brain? And are there more undiscovered particles out there, beyond the Higgs boson? In the modern world, science is king: weekly headlines proclaim the latest scientific breakthroughs and numerous mathematical problems, once indecipherable, have now been solved. But are there limits to what we can discover about our physical universe? In this very personal journey to the edges of knowledge, Marcus du Sautoy investigates how leading experts in fields from quantum physics and cosmology, to sensory perception and neuroscience, have articulated the current lie of the land. In doing so, he travels to the very boundaries of understanding, questioning contradictory st
WiskundeWhat can maths tell us about art and design? Professor John D. Barrow has all the answers. In 100 Essential Things You Didn't Know You Didn't Know About Maths and the Arts , he shows us that mathematics and the arts are not so far removed from each other. He takes us on a 100-step tour, guiding us through art forms as various as sculpture, literature, architecture and dance, and reveals what maths can tell us about the mysteries of the worlds of art and design. We find out why diamonds sparkle, how many words Shakespeare knew and why the shower is the best place to sing. We discover why an egg is egg-shaped, why Charles Dickens crusaded against maths and how a soprano can shatter a wine glass without touching it... Enlivening the everyday with a new way of looking at the world, this book will enrich your understanding of the maths and art that surround us in our day-to-day lives.
Wiskunde★ ★ ★ ★ ★ WAGmob: Over One million Paying Customers ★ ★ ★ ★ ★ WAGmob brings you Simple 'n Easy, on-the-go learning book for "Calculus". All you need to know about Calculus is in one Book. The Book helps you understand the basics in a nice and organized manner. A real simple 'n easy Book for Calculus. You will love this Book. The Book provides: 1. Snack sized chapters for easy learning. 2. Bite sized flashcards to memorize key concepts. Designed for both students and adults. This Book provides a quick summary of essential concepts in Calculus by following snack sized chapters: (Each chapter has corresponding flashcards) Limits, Continuity and Functions, Derivatives and Differentiation, Applications of Derivative, Techniques of Differentiation I, Techniques of Differentiation II, Integrals and Integration, Techniques of Integration, Applications of Integration, Differential Equations, Parametric Equations and Calculus, Calculus of Polar Curves
WiskundeDo you want to double or triple the speed with which you calculate? How to Calculate Quickly is a tried and true method for helping you in the mathematics of daily life — addition, subtraction, multiplication, division, and fractions. The author can awaken for you a faculty which is surprisingly dormant in accountants, engineers, scientists, businesspeople, and others who work with figures. This is "number sense" — or the ability to recognize relations between numbers considered as whole quantities. Lack of this number sense makes it entirely possible for a scientist to be proficient in higher mathematics, but to bog down in the arithmetic of everyday life. This book teaches the necessary mathematical techniques that schools neglect to teach: Horizontal addition, left to right multiplication and division, etc. You will learn a method of multiplication so rapid that you'll be able to do products in not much more time than it would take to write the problem down on paper. This is no
Wetenschap en natuurDrawn from the cutting-edge frontiers of science, This Explains Everything will revolutionize your understanding of the world. What is your favorite deep, elegant, or beautiful explanation? This is the question John Brockman, publisher of Edge.org ("The world's smartest website"—The Guardian), posed to the world's most influential minds. Flowing from the horizons of physics, economics, psychology, neuroscience, and more, This Explains Everything presents 150 of the most surprising and brilliant theories of the way of our minds, societies, and universe work. Jared Diamond on biological electricity • Nassim Nicholas Taleb on positive stress • Steven Pinker on the deep genetic roots of human conflict • Richard Dawkins on pattern recognition • Nobel Prize-winning physicist Frank Wilczek on simplicity • Lisa Randall on the Higgs mechanism • BRIAN Eno on the limits of intuition • Richard Thaler on the power of commitment • V. S. Ramachandran on the "neural code" of conscio
WiskundeCalculus Made Easy by Silvanus Phillips Thompson is an accessible and engaging introduction to the fundamental principles of calculus, offering readers a clear and simplified approach to understanding this essential branch of mathematics. Calculus Made Easy by Silvanus Phillips Thompson is a timeless classic that makes the complex world of calculus accessible to students and learners of all levels. This book serves as a comprehensive guide to the core concepts and techniques of calculus, presented in a manner that is easy to grasp and enjoyable to read. The book begins by providing readers with a user-friendly introduction to the basic principles of calculus, offering insights into its historical development and significance in mathematics and science. Silvanus Phillips Thompson's clear and engaging explanations set the stage for a deeper exploration of this essential subject. Central to the book is the presentation of calculus concepts, including differentiation and integration, in a
Wetenschap en natuurA WATERSTONES BEST BOOK OF 2023 A NEW SCIENTIST BEST BOOK OF 2023 WINNER OF THE LA TIMES SCIENCE & TECHNOLOGY 2023 BOOK PRIZE 'A generous tour of mathematics for anyone whose instincts tend less towards "Just tell me the answer" and more towards "Wait, but why?"' JORDAN ELLENBERG To many, maths feels like an unmapped wilderness. Between abstract concepts like imaginary numbers and infinity, it can sometimes feel like a lot of maths is just made up. Why, for example, is 1 not a prime? Why do two negatives cancel each other out? Where does trigonometry come from? Is maths even real? Abstract mathematician Eugenia Cheng shows that curiosity is the best teacher. Is Maths Real? takes us on a scintillating tour of the simple questions that provoke mathematics' deepest insights. 'Intriguing...celebrates the dizziness and disorientation engendered by childlike questions that hint at the deep mysteries beneath' NEW SCIENTIST 'Masterfully uncovers what's simply profound in the profoundly si
WiskundeGAME THEORY Although game theory as a salient concept is relatively young, the principles behind game theory have for millennia allowed humans to anticipate the behavior of their fellows and work out compelling exchanges that suit everyone's self-interest, allowing people to benefit both individually and collectively. This book serves as a complete guide to game theory, and will explain the principles of game theory, while also providing practical examples such as the Prisoner's Dilemma, and the role that game theory played during the Cold War. Game theory principles are used to inform strategists, entrepreneurs, politicians, analysts, and philosophers, and help them make strong decisions in military, commercial, social, and moral areas. In all things, game theory principles can be used to logically minimize risk, reduce the chances of calamity, and gain an understanding of rational human behavior. Whether you're trying to help your team cooperate or you're ambitiously trying to figur
Wetenschap en natuurHyperspace is the run-away bestseller from one of the world's leading theoretical physicists. Are there other dimensions beyond our own? Is time travel possible? Michio Kaku takes us on a tour of the most exciting work in modern physics, including research into 10-dimensional space, time warps, and multiple universes.
WiskundeThis classic text by a distinguished mathematician and former Professor of Mathematics at Harvard University, leads students familiar with elementary calculus into confronting and solving more theoretical problems of advanced calculus. In his preface to the first edition, Professor Widder also recommends various ways the book may be used as a text in both applied mathematics and engineering. Believing that clarity of exposition depends largely on precision of statement, the author has taken pains to state exactly what is to be proved in every case. Each section consists of definitions, theorems, proofs, examples and exercises. An effort has been made to make the statement of each theorem so concise that the student can see at a glance the essential hypotheses and conclusions. For this second edition, the author has improved the treatment of Stieltjes integrals to make it more useful to the reader less than familiar with the basic facts about the Riemann integral. In addition the mater
WiskundeAlthough mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic. In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems. Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (includi
WiskundeThroughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi , or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The
WiskundePopular math at its most entertaining and enlightening. " Zero is really something"-Washington Post A New York Times Notable Book. The Babylonians invented it, the Greeks banned it, the Hindus worshiped it, and the Church used it to fend off heretics. Now it threatens the foundations of modern physics. For centuries the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. For zero, infinity's twin, is not like other numbers. It is both nothing and everything. In Zero , Science Journalist Charles Seife follows this innocent-looking number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe, its rise and transcendence in the West, and its ever-present threat to modern physics. Here are the legendary thinkers—from Pythagoras to Newton to Heisenberg, from the Kabalists to today's astrophysicists—who have tried to understand it and whose clashes shook the foundations of philosophy, science, mathe
WiskundeThe interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e . In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.
WiskundeMöbius bagels, Euclid's flourless chocolate cake and apple pi - this is maths, but not as you know it. In How to Bake Pi , mathematical crusader and star baker Eugenia Cheng has rustled up a batch of delicious culinary insights into everything from simple numeracy to category theory ('the mathematics of mathematics'), via Fermat, Poincaré and Riemann. Maths is much more than simultaneous equations and pr2 : it is an incredibly powerful tool for thinking about the world around us. And once you learn how to think mathematically, you'll never think about anything - cakes, custard, bagels or doughnuts; not to mention fruit crumble, kitchen clutter and Yorkshire puddings - the same way again. Stuffed with moreish puzzles and topped with a generous dusting of wit and charm, How to Bake Pi is a foolproof recipe for a mathematical feast. *Previously published under the title Cakes, Custard & Category Theory *
WiskundeIf you have ever looked for P-values by shopping at P mart, tried to watch the Bernoulli Trails on "People's Court," or think that the standard deviation is a criminal offense in six states, then you need The Cartoon Guide to Statistics to put you on the road to statistical literacy. The Cartoon Guide to Statistics covers all the central ideas of modern statistics: the summary and display of data, probability in gambling and medicine, random variables, Bernoulli Trails, the Central Limit Theorem, hypothesis testing, confidence interval estimation, and much more—all explained in simple, clear, and yes, funny illustrations. Never again will you order the Poisson Distribution in a French restaurant! This updated version features all new material.
WiskundeWhy is it that incredibly unlikely phenomena actually happen quite regularly and why should we, in fact, expect such things to happen? Here, in this highly original book - aimed squarely at anyone with an interest in coincidences, probability or gambling - eminent statistician David Hand answers this question by weaving together various strands of probability into a unified explanation, which he calls the improbability principle. This is a book that will appeal not only to those who love stories about startling coincidences and extraordinarily rare events, but also to those who are interested in how a single bold idea links areas as diverse as gambling, the weather, airline disasters and creative writing as well as the origin of life and even the universe. The Improbability Principle will change your perspective on how the world works – and tell you what the Bible code and Shakespeare have in common, how to win the lottery, why Apple's song shuffling was made less random to seem mor
WiskundeFew books in history have affected the development of mathematical, scientific, and philosophical thought more than Euclid's Elements. The propositions and figures in the first 4 books form the geometric core of the work. We have turned the 127 original black and white static figures into colorful, interactive apps that illustrate the propositions dynamically. What translator Sir Thomas Heath calls "one of the noblest moments of antiquity" is newly dressed for the 21st century, made possible by Geometry Expressions software from Saltire Software.
WiskundeBestselling author and worst-drawing artist Ben Orlin expands his oeuvre with this interactive collection of mathematical games. With 70-plus games, each taking a minute to learn and a lifetime to master, this treasure trove will delight, educate, and entertain. From beloved math popularizer Ben Orlin comes a masterfully compiled collection of dozens of playable mathematical games. This ultimate game chest draws on mathematical curios, childhood classics, and soon-to-be classics, each hand-chosen to be (1) fun, (2) thought-provoking, and (3) easy to play. With just paper, pens, and the occasional handful of coins, you and a partner can enjoy hours of fun—and hours of challenge. Orlin’s sly humor, expansive knowledge, and so-bad-they’re-good drawings show us how simple rules summon our best thinking. Games include: Ultimate Tic-Tac-ToeSproutsBattleshipQuantum Go FishDots and BoxesBlack HoleOrder and ChaosSequenciumPaper BoxingPropheciesArpeggiosBankerFrancopru
WiskundeDifferentiaalrekening. Er lijkt geen abstracter en wereldvreemder begrip te bestaan dan dat. En toch vertellen integralen, functies en afgeleiden ons veel meer over ons dagelijkse leven dan je ooit had kunnen vermoeden. Ben Orlin bewijst in dit meeslepende boek - gewapend met zijn aanstekelijke gevoel voor humor én zijn heerlijk simpele tekeningen - dat wiskunde écht overal is. Meer nog: het is een andere (en misschien wel betere) taal om de dingen waar we elke dag mee worstelen te bevatten. Met de hulp van Sherlock Holmes, een toren baklava én hondje Elvis toont dit onweerstaanbare boek hoe wiskunde een baken kan zijn in onzekere tijden.
WiskundeA groundbreaking treatise by one of the great mathematicians of our time, who argues that highly effective thinking can be learned. What spurs on and inspires a great idea? Can we train ourselves to think in a way that will enable world-changing understandings and insights to emerge? Richard Hamming said we can, and first inspired a generation of engineers, scientists, and researchers in 1986 with "You and Your Research," an electrifying sermon on why some scientists do great work, why most don't, why he did, and why you should, too. The Art of Doing Science and Engineering is the full expression of what "You and Your Research" outlined. It's a book about thinking; more specifically, a style of thinking by which great ideas are conceived. The book is filled with stories of great people performing mighty deeds––but they are not meant to simply be admired. Instead, they are to be aspired to, learned from, and surpassed. Hamming consistently returns to Shannon’s information theory,
WiskundeSPSS Statistics is een toepassing die statistische analyses op data uitvoert. Als je op je werk SPPS gebruikt, vind je dat misschien een beetje overweldigend. Maak je geen zorgen, in dit boek vind je de oplossing! De duidelijke, gemakkelijk te volgen instructies helpen je aan de slag en laten je zien hoe je optimaal gebruik kunt maken van SPSS en je data. Leer predictive analysis uit te voeren, gegevens te interpreteren met grafi eken en nog veel meer - je hebt er geen wiskunde voor nodig! Keith McCormick is consultant, spreker, trainer en auteur op het gebied van predictive analytics. Jesus Salcedo heeft zich beziggehouden met SPSS bij IBM. Aaron Poh is een bedrijfsanalist gespecialiseerd in onder meer IT-strategie.
Wetenschap en natuurThink of a number between one and ten. No, hang on, let's make this interesting. Between zero and infinity . Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends. The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi , e , the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it? How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange
WiskundeMathematical superstar and inventor of fractal geometry, Benoit Mandelbrot, has spent the past forty years studying the underlying mathematics of space and natural patterns. What many of his followers don't realize is that he has also been watching patterns of market change. In The (Mis)Behavior of Markets , Mandelbrot joins with science journalist and former Wall Street Journal editor Richard L. Hudson to reveal what a fractal view of the world of finance looks like. The result is a revolutionary reevaluation of the standard tools and models of modern financial theory. Markets, we learn, are far riskier than we have wanted to believe. From the gyrations of IBM's stock price and the Dow, to cotton trading, and the dollar-Euro exchange rate--Mandelbrot shows that the world of finance can be understood in more accurate, and volatile, terms than the tired theories of yesteryear.The ability to simplify the complex has made Mandelbrot one of the century's most influential mathematicians. W
WiskundeThe fun and easy way to get down to business with statistics Stymied by statistics? No fear? this friendly guide offers clear, practical explanations of statistical ideas, techniques, formulas, and calculations, with lots of examples that show you how these concepts apply to your everyday life. Statistics For Dummies shows you how to interpret and critique graphs and charts, determine the odds with probability, guesstimate with confidence using confidence intervals, set up and carry out a hypothesis test, compute statistical formulas, and more. Tracks to a typical first semester statistics course Updated examples resonate with today's students Explanations mirror teaching methods and classroom protocol Packed with practical advice and real-world problems, Statistics For Dummies gives you everything you need to analyze and interpret data for improved classroom or on-the-job performance.
Wetenschap en natuurNobel Prize–winning physicist Roger Penrose questions some of the most fashionable ideas in physics today, including string theory What can fashionable ideas, blind faith, or pure fantasy possibly have to do with the scientific quest to understand the universe? Surely, theoretical physicists are immune to mere trends, dogmatic beliefs, or flights of fancy? In fact, acclaimed physicist and bestselling author Roger Penrose argues that researchers working at the extreme frontiers of physics are just as susceptible to these forces as anyone else. In this provocative book, he argues that fashion, faith, and fantasy, while sometimes productive and even essential in physics, may be leading today's researchers astray in three of the field's most important areas—string theory, quantum mechanics, and cosmology. Arguing that string theory has veered away from physical reality by positing six extra hidden dimensions, Penrose cautions that the fashionable nature of a theory can cloud our judgm
WiskundeIan Stewart explores the astonishing properties of numbers from 1 to 10 to zero and infinity, including one figure that, if you wrote it out, would span the universe. He looks at every kind of number you can think of -- real, imaginary, rational, irrational, positive and negative -- along with several you might have thought you couldn't think of. He explains the insights of the ancient mathematicians, shows how numbers have evolved through the ages, and reveals the way numerical theory enables everyday life. Under Professor Stewart's guidance you will discover the mathematics of codes, Sudoku, Rubik's Cube, music, primes and pi. You may be surprised to find you live in eleven-dimensional space, that of the twenty-three people on a football pitch two are more likely than not to share the same birthday, and that forty-two is a very interesting number. Professor Stewart's Incredible Numbers will delight everyone who loves numbers -- including those who currently think they don't.
WiskundeGame Theory for Business: A Simple Introduction offers an accessible guide to the central ideas and methods of business game theory, with over 35 diagrams to support the analysis. Understand a business’s role, goals and incentives. Examine adverse selection, moral hazard, and a bait and switch strategy, see how a firm may secure long-run gains, and learn what the show business industry can teach other businesses. Evaluate duopoly price competition, prospects for collusion, and industry entry deterrence using credible commitments and asymmetric information. Look at strategic behaviour with top dog, fat cat, puppy dog ploy, or lean and hungry strategies, Cournot output competition and Bertrand price competition. See what a business can learn from evolutionary biology, and how a firm may differentiate itself from its rivals.
WiskundeThis book is written for beginners and students who wish to learn MATLAB. One of the objectives of writing this book is to introduce MATLAB to students in high schools. The material presented is very easy and simple to understand -- written in a gentle manner. The topics covered in the book include arithmetic operations, variables, mathematical functions, complex numbers, vectors, matrices, programming, graphs, solving equations, and an introduction to calculus. In addition, the MATLAB Symbolic Math Toolbox is emphasized in this book. There are also over 230 exercises at the ends of chapters for students to practice. Detailed solutions to all the exercises are provided in the second half of the book. The author has been using MATLAB for the past fifteen years and is the author of the best selling book "MATLAB Guide to Finite Elements". This description applies to the Revised Edition.
WiskundeIn this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day, using illustrative case studies drawn from a range of times and places; including early imperial China, the medieval Islamic world, and nineteenth-century Britain.
WiskundeThis book aims to explain, in clear non-technical language,what it is that mathematicians do, and how that differs from and builds on the mathematics that most people are familiar with from school. It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.
WiskundeApplication-oriented introduction relates the subject as closely as possible to science. In-depth explorations of the derivative, the differentiation and integration of the powers of x , and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Clear-cut explanations, numerous drills, illustrative examples. 1967 edition. Solution guide available upon request.
Wetenschap en natuur‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’ It was with these words, written in the 1630s, that Pierre de Fermat intrigued and infuriated the mathematics community. For over 350 years, proving Fermat’s Last Theorem was the most notorious unsolved mathematical problem, a puzzle whose basics most children could grasp but whose solution eluded the greatest minds in the world. In 1993, after years of secret toil, Englishman Andrew Wiles announced to an astounded audience that he had cracked Fermat’s Last Theorem. He had no idea of the nightmare that lay ahead. In ‘Fermat’s Last Theorem’ Simon Singh has crafted a remarkable tale of intellectual endeavour spanning three centuries, and a moving testament to the obsession, sacrifice and extraordinary determination of Andrew Wiles: one man against all the odds. Reviews ‘If you enjoyed Dava Sobel’s “Longitude” you will enjoy this.’ Evening Standard ‘This is
WiskundeFew books in history have affected the development of mathematical, scientific, and philosophical thought more than Euclid's Elements. The propositions and figures in the first 6 books form the geometric core of the work. We have turned the 186 original black and white static figures into colorful, interactive apps that illustrate the propositions dynamically. What translator Sir Thomas Heath calls "one of the noblest moments of antiquity" is newly dressed for the 21st century, made possible by Geometry Expressions software from Saltire Software.
WiskundeMore than 200 algebra problems are solved in step-by-step detail in this comprehensive algebra study aid. This collection of solved algebra problems provides in-depth help for students of Algebra I, intermediate Algebra, and College Algebra. Topics covered include: * Exponents * Scientific notation and decimals * Fractions * Solving basic algebraic equations * Roots and radicals * Fractional Algebraic expressions * Adding and subtracting polynomials * Multiplying polynomials * Solving linear equations * Graphing linear equations * Slope-intercept form * The equation of a line * Quadratic equations * Completing the square * Solving systems of linear equations * Graphing systems of linear equations * Graphing quadratic equations * The quadratic formula * Some basic word problems WIth the aid of clear, step-by-step explanations, you'll learn the basic approach to algebra pro
Wetenschap en natuur"In times of universal deceit, telling the truth becomes a revolutionary act." - George Orwell "The God Factory" by Mike Hockney is the first of three books setting out the basis of Illumination, the religion of the Ancient Order of the Illuminati. The other two forthcoming titles are - "The God Game: How to Create the Universe" and "The Illuminated Soul". Illumination formally began with the ancient Greek mystic and mathematician Pythagoras and is the world's only "Logos" religion i.e. a rational religion founded on mathematics, science and philosophy. It has no connection with "Mythos" religions such as Judaism, Christianity and Islam which are based on faith, superstition, irrationality, stories, parables, myths, legends and "divine revelations". These religions are false in every possible way. Illumination is the only true religion. It's the Grand Unified Theory of Everything, linking science, religion, psychology, philosophy and even the paranormal. It does so via the sole medium
WiskundeFrom the author of The Music of the Primes and Finding Moonshine comes a short, lively book on five mathematical problems that just refuse be solved – and on how many everyday problems can be solved by maths. Every time we download a song from i-tunes, take a flight across the Atlantic or talk on our mobile phones, we are relying on great mathematical inventions. Maths may fail to provide answers to various of its own problems, but it can provide answers to problems that don't seem to be its own – how prime numbers are the key to Real Madrid's success, to secrets on the Internet and to the survival of insects in the forests of North America. In The Num8er My5teries, Marcus du Sautoy explains how to fake a Jackson Pollock; how to work out whether or not the universe has a hole in the middle of it; how to make the world's roundest football. He shows us how to see shapes in four dimensions – and how maths makes you a better gambler. He tells us about the quest to predict the future
Wiskunde"This is an important book, full of relevant examples and worrying case histories. By the end of it, the reader has been presented with a powerful set of tools for understanding statistics...anyone who wants to take responsibly for their own medicalchoices should read it" - New Scientist However much we crave certainty, we live in an uncertain world. But are we guilty of wildly exaggerating the chances of some unwanted event happening to us? Are ordinary people idiots when reasoning with risk? Far too many of us, argues Gerd Gigerenzer, are hampered by our own innumeracy. Here, he shows us that our difficulties in thinking about numbers can easily be overcome.
WiskundeA NEW YORK TIMES NOTABLE BOOK The Babylonians invented it, the Greeks banned it, the Hindus worshipped it, and the Christian Church used it to fend off heretics. Today it's a timebomb ticking in the heart of astrophysics. For zero, infinity's twin, is not like other numbers. It is both nothing and everything. Zero has pitted East against West and faith against reason, and its intransigence persists in the dark core of a black hole and the brilliant flash of the Big Bang. Today, zero lies at the heart of one of the biggest scientific controversies of all time: the quest for a theory of everything. Within the concept of zero lies a philosophical and scientific history of humanity. Charles Seife's elegant and witty account takes us from Aristotle to superstring theory by way of Egyptian geometry, Kabbalism, Einstein, the Chandrasekhar limit and Stephen Hawking. Covering centuries of thought, it is a concise tour of a world of ideas, bound up in the simple notion of nothing.
Gevorderde wiskundeHow does the brain recognise images? Could computers drive? How is it possible for man-made programs to beat the worlds best chess players? In this fascinating look into the human mind, Ray Kurzweil relates the advanced brain processes we take for granted in our everyday lives, our sense of self and intellect and explains how artificial intelligence, once only the province of science fiction, is rapidly catching up. Effortlessly unravelling such key areas as love, learning and logic, he shows how the building blocks for our future machines exist underneath. Kurzweil examines the radical possibilities of a world in which humans and intelligent machines could live side by side. ‘Ray Kurzweil is the best person I know at predicting the future of artificial intelligence.’ Bill Gates ‘Kurzweil knows a lot about new technology and he knows how to make it sound fun. He is dazzling in his enthusiasm for things to come, and has a grasp of the exciting developments pulsing through the int
Wiskunde"This is a beautiful, important book, a pleasure to read, in which the history recounted truly illuminates the mathematical ideas, and the ideas themselves are superbly explained; a wonderful accomplishment." — Barry Mazur, Harvard University " Math Through the Ages is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its audience. Its overview of the subject captures most of what one needs to know, and the 30 sketches are small gems of exposition that stimulate further exploration." — Glen Van Brummelen, Quest University Designed for students just beginning their study of the discipline, this concise introductory history of mathematics is supplemented by brief but in-depth sketches of the more important individual topics. Covering such subjects as algebra symbols, negative numbers, the metric system, quadratic equati
WiskundeDo high-speed, complicated arithmetic in your head using the Trachtenberg Speed System. Ever find yourself struggling to check a bill or a payslip? With The Trachtenberg Speed System you can. Described as the 'shorthand of mathematics', the Trachtenberg system only requires the ability to count from one to eleven. Using a series of simplified keys it allows anyone to master calculations, giving greater speed, ease in handling numbers and increased accuracy. Jakow Trachtenberg believed that everyone is born with phenomenal abilities to calculate. He devised a set of rules that allows every child to make multiplication, division, addition, subtraction and square-root calculations with unerring accuracy and at remarkable speed. It is the perfect way to gain confidence with numbers.
WiskundeDid you know that it's easier to add and subtract from left to right, rather than the other way round? And that you can be taught to square a three-digit number in seconds? In Think Like A Maths Genius , two mathematicians offer tips and tricks for doing tricky maths the easy way. With their help, you can learn how to perform lightning calculations in your head, discover methods of incredible memorisation and other feats of mental agility. Learn maths secrets for the real world, from adding up your shopping and calculating a restaurant tip, to figuring out gambling odds (or how much you've won) and how to solve sudoku faster.
WiskundeHave you ever wondered why a rainbow is curved? Or why left-handers aren't extinct? How a sunflower is like a synchronised swimmer, or a lightning bolt is like a blood vessel? The answer to all these questions and more can be summed up in one simple word: MATHS. As the inimitable Eddie Woo explains, maths is not just about numbers. Maths is about patterns, and our universe is extraordinarily patterned. With enthusiasm and wonder, Eddie is here to help us discover these patterns. With engaging clarity and entertaining anecdotes, Eddie demonstrates the intricacy of maths in all the things we love - from music in our iPods to our credit cards. Filled with humour and heart, this book will fascinate, entertain and illuminate the maths that surrounds us. This is a specially formatted fixed layout ebook that retains the look and feel of the print book. LONGLISTED FOR THE ABIA GENERAL NON-FICTION BOOK OF THE YEAR 2019 PRAISE FOR EDDIE WOO "I never thought I'd read a maths book cover to cover,
WiskundePacked with practical tips and techniques for solving probability problems Increase your chances of acing that probability exam -- or winning at the casino! Whether you're hitting the books for a probability or statistics course or hitting the tables at a casino, working out probabilities can be problematic. This book helps you even the odds. Using easy-to-understand explanations and examples, it demystifies probability -- and even offers savvy tips to boost your chances of gambling success! Discover how to * Conquer combinations and permutations * Understand probability models from binomial to exponential * Make good decisions using probability * Play the odds in poker, roulette, and other games
WiskundeCalculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of calculus, including functions, gradients, rates of change, differentiation, exponential and logarithmic functions and integration. Everything you will need to know is here in one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.