A Slice of Pi: All the Maths You Forgot to Remember from School
Liz Strachan - 2009
From the Difference Engine to magic squares and from the Fibonacci rabbits to Fermat's Last Theorem, this book features the weird world of numbers, imaginary, real or infinite.
We Are All Stardust: Leading Scientists Talk About Their Work, Their Lives, and the Mysteries of Our Existence
Stefan KleinWalter Ziegänsberger - 2010
How does Jane Goodall’s relationship with her dog Rusty inform her thinking about our relationship to other species? Which time and place would Jared Diamond most prefer to live in, in light of his work on the role of chance in history? What does driving a sports car have to do with Steven Weinberg’s quest for the “theory of everything”? Physicist and journalist Stefan Klein’s intimate conversations with nineteen of the world’s best-known scientists (including three Nobel Laureates) let us listen in as they talk about their paradigm-changing work—and how it is deeply rooted in their daily lives. • Cosmologist Martin Rees on the beginning and end of the world • Evolutionary biologist Richard Dawkins on egoism and selflessness • Neuroscientist V. S. Ramachandran on consciousness • Molecular biologist Elizabeth Blackburn on aging • Philosopher Peter Singer on morality • Physician and social scientist Nicholas Christakis on human relationships • Biochemist Craig Venter on the human genome • Chemist and poet Roald Hoffmann on beauty
Reality is Broken: Why Games Make Us Better and How They Can Change the World
Jane McGonigal - 2010
The average young person in the UK will spend 10,000 hours gaming by the age of twenty-one. What's causing this mass exodus? According to world-renowned game designer Jane McGonigal the answer is simple: videogames are fulfilling genuine human needs. Drawing on positive psychology, cognitive science and sociology, Reality is Broken shows how game designers have hit on core truths about what makes us happy, and utilized these discoveries to astonishing effect in virtual environments. But why, McGonigal asks, should we use the power of games for escapist entertainment alone? In this groundbreaking exploration of the power and future of gaming, she reveals how gamers have become expert problem solvers and collaborators, and shows how we can use the lessons of game design to socially positive ends, be it in our own lives, our communities or our businesses. Written for gamers and non-gamers alike, Reality is Broken sends a clear and provocative message: the future will belong to those who can understand, design and play games.
Essential Calculus
James Stewart - 2006
In writing the book James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? Stewart's ESSENTIAL CALCULUS offers a concise approach to teaching calculus that focuses on major concepts and supports those concepts with precise definitions, patient explanations, and carefully graded problems. Essential Calculus is only 850 pages-two-thirds the size of Stewart's other calculus texts (CALCULUS, Fifth Edition and CALCULUS, EARLY TRANSCENDENTALS, Fifth Edition)-and yet it contains almost all of the same topics. The author achieved this relative brevity mainly by condensing the exposition and by putting some of the features on the website, www.StewartCalculus.com. Despite the reduced size of the book, there is still a modern flavor: Conceptual understanding and technology are not neglected, though they are not as prominent as in Stewart's other books. ESSENTIAL CALCULUS has been written with the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world.
Visual Complex Analysis
Tristan Needham - 1997
Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack ofadvanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicatedwith the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
The Fourth Dimension: A Guided Tour of the Higher Universes
Rudy Rucker - 1984
and now, The Fourth Dimension is this handy paperback. The result is a fantastic, enlightening, and mind-expanding reading experience. In text, pictures, and puzzles, master science and science fiction writer Rudy Rucker immerses his readers in an amazing exploration of a mysterious realm — a realm once seen only by mystics, physicists, and mathematicians. More accessible than Gödel, Escher, Bach and more playful than The Tao of Physics, Rucker's The Fourth Dimension is the most engaging tour of other dimensions since Flatland.David Povilaitis' 200 drawings illustrate Rucker's heady insights while dozens of puzzles and problems make the book a delight to the eye and mind. As Eileen Pollack has written in her rave review, The Fourth Dimension is "magical ... Its effects persist beyond its covers." That's because, like everything else in the fourth dimension, this is more than a book, it is a mental spaceship capable of grand tours of universes far beyond our own.
How the World Works
Noam Chomsky - 2011
. . or at least he wasn’t until these books came along. Made up of intensively edited speeches and interviews, they offer something not found anywhere else: pure Chomsky, with every dazzling idea and penetrating insight intact, delivered in clear, accessible, reader-friendly prose.Published as four short books in the famous Real Story series—What Uncle Sam Really Wants; The Prosperous Few and the Restless Many; Secrets, Lies and Democracy; and The Common Good—they’ve collectively sold almost 600,000 copies.And they continue to sell year after year after year because Chomsky’s ideas become, if anything, more relevant as time goes by. For example, twenty years ago he pointed out that “in 1970, about 90% of international capital was used for trade and long-term investment—more or less productive things—and 10% for speculation. By 1990, those figures had reversed.” As we know, speculation continued to increase exponentially. We’re paying the price now for not heeding him them.
The Improbability Principle: Why Coincidences, Miracles, and Rare Events Happen Every Day
David J. Hand - 2014
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 wrestles with seemingly less explicable questions as well: what the Bible and Shakespeare have in common, why financial crashes are par for the course, and why lightning does strike the same place (and the same person) twice. Along the way, he teaches us how to use the Improbability Principle in our own lives—including how to cash in at a casino and how to recognize when a medicine is truly effective. An irresistible adventure into the laws behind “chance” moments and a trusty guide for understanding the world and universe we live in, The Improbability Principle will transform how you think about serendipity and luck, whether it’s in the world of business and finance or you’re merely sitting in your backyard, tossing a ball into the air and wondering where it will land.
From 0 to Infinity in 26 Centuries: The Extraordinary Story of Maths
Chris Waring - 2012
Book by Waring, Chris
How to Become a Straight-A Student
Cal Newport - 2006
But Cal Newport knows that real straight-A students don't study harder--they study smarter. A breakthrough approach to acing academic assignments, from quizzes and exams to essays and papers, "How to Become a Straight-A Student" reveals for the first time the proven study secrets of real straight-A students across the country and weaves them into a simple, practical system that anyone can master. You will learn how to: Streamline and maximize your study time Conquer procrastinationAbsorb the material quickly and effectivelyKnow which reading assignments are critical--and which are notTarget the paper topics that wow professorsProvide A+ answers on examsWrite stellar prose without the agony A strategic blueprint for success that promises more free time, more fun, and top-tier results, "How to Become a Straight-A Student" is the only study guide written by students for students--with the insider knowledge and real-world methods to help you master the college system and rise to the top of the class.
The Manga Guide to Linear Algebra
Shin Takahashi - 2008
Luckily, Misa's big brother is the captain of the university karate club and is ready to strike a deal: Reiji can join the club if he tutors Misa in linear algebra.Follow along in The Manga Guide to Linear Algebra as Reiji takes Misa from the absolute basics of this tricky subject through mind-bending operations like performing linear transformations, calculating determinants, and finding eigenvectors and eigenvalues. With memorable examples like miniature golf games and karate tournaments, Reiji transforms abstract concepts into something concrete, understandable, and even fun.As you follow Misa through her linear algebra crash course, you'll learn about:Basic vector and matrix operations such as addition, subtraction, and multiplicationLinear dependence, independence, and basesUsing Gaussian elimination to calculate inverse matricesSubspaces, dimension, and linear spanPractical applications of linear algebra in fields like computer graphics, cryptography, and engineeringBut Misa's brother may get more than he bargained for as sparks start to fly between student and tutor. Will Reiji end up with the girl—or just a pummeling from her oversized brother? Real math, real romance, and real action come together like never before in The Manga Guide to Linear Algebra.
This Idea Must Die: Scientific Theories That Are Blocking Progress
John Brockman - 2015
In the past, discoveries often had to wait for the rise of the next generation to see questions in a new light and let go of old truisms. Today, in a world that is defined by a rapid rate of change, staying on the cutting edge has as much to do with shedding outdated notions as adopting new ones. In this spirit, John Brockman, publisher of the online salon Edge.org ("the world's smartest website"—The Guardian), asked 175 of the world's most influential scientists, economists, artists, and philosophers: What scientific idea is ready for retirement?Jared Diamond explores the diverse ways that new ideas emerge * Nassim Nicholas Taleb takes down the standard deviation * Richard Thaler and novelist Ian McEwan reveal the usefulness of "bad" ideas * Steven Pinker dismantles the working theory of human behavior * Richard Dawkins renounces essentialism * Sherry Turkle reevaluates our expectations of artificial intelligence * Physicist Andrei Linde suggests that our universe and its laws may not be as unique as we think * Martin Rees explains why scientific understanding is a limitless goal * Alan Guth rethinks the origins of the universe * Sam Harris argues that our definition of science is too narrow * Nobel Prize winner Frank Wilczek disputes the division between mind and matter * Lawrence Krauss challenges the notion that the laws of physics were preordained * plus contributions from Daniel Goleman, Mihaly Csikszentmihalyi, Nicholas Carr, Rebecca Newberger Goldstein, Matt Ridley, Stewart Brand, Sean Carroll, Daniel C. Dennett, Helen Fisher, Douglas Rushkoff, Lee Smolin, Kevin Kelly, Freeman Dyson, and others.
The Prince
Niccolò Machiavelli
Hence: Can Machiavelli, who makes the following observations, be Machiavellian as we understand the disparaging term? 1. So it is that to know the nature of a people, one need be a Prince; to know the nature of a Prince, one need to be of the people. 2. If a Prince is not given to vices that make him hated, it is unsusal for his subjects to show their affection for him. 3. Opportunity made Moses, Cyrus, Romulus, Theseus, and others; their virtue domi-nated the opportunity, making their homelands noble and happy. Armed prophets win; the disarmed lose. 4. Without faith and religion, man achieves power but not glory. 5. Prominent citizens want to command and oppress; the populace only wants to be free of oppression. 6. A Prince needs a friendly populace; otherwise in diversity there is no hope. 7. A Prince, who rules as a man of valor, avoids disasters, 8. Nations based on mercenary forces will never be solid or secure. 9. Mercenaries are dangerous because of their cowardice 10. There are two ways to fight: one with laws, the other with force. The first is rightly man’s way; the second, the way of beasts.
Consciousness Explained
Daniel C. Dennett - 1991
Dennett's exposition is nothing short of brilliant." --George Johnson, New York Times Book ReviewConsciousness Explained is a a full-scale exploration of human consciousness. In this landmark book, Daniel Dennett refutes the traditional, commonsense theory of consciousness and presents a new model, based on a wealth of information from the fields of neuroscience, psychology, and artificial intelligence. Our current theories about conscious life-of people, animal, even robots--are transformed by the new perspectives found in this book.
The Art of Statistics: How to Learn from Data
David Spiegelhalter - 2019
Statistics are everywhere, as integral to science as they are to business, and in the popular media hundreds of times a day. In this age of big data, a basic grasp of statistical literacy is more important than ever if we want to separate the fact from the fiction, the ostentatious embellishments from the raw evidence -- and even more so if we hope to participate in the future, rather than being simple bystanders. In The Art of Statistics, world-renowned statistician David Spiegelhalter shows readers how to derive knowledge from raw data by focusing on the concepts and connections behind the math. Drawing on real world examples to introduce complex issues, he shows us how statistics can help us determine the luckiest passenger on the Titanic, whether a notorious serial killer could have been caught earlier, and if screening for ovarian cancer is beneficial. The Art of Statistics not only shows us how mathematicians have used statistical science to solve these problems -- it teaches us how we too can think like statisticians. We learn how to clarify our questions, assumptions, and expectations when approaching a problem, and -- perhaps even more importantly -- we learn how to responsibly interpret the answers we receive. Combining the incomparable insight of an expert with the playful enthusiasm of an aficionado, The Art of Statistics is the definitive guide to stats that every modern person needs.