Bøger af Keith Devlin

In the twenty-first century, everyone can benefit from being able to think mathematically. This is not the same as "doing math." The latter usually involves the application of formulas, procedures, and symbolic manipulations; mathematical thinking is a powerful way of thinking about things in the world -- logically, analytically, quantitatively, and with precision. It is not a natural way of thinking, but it can be learned.Mathematicians, scientists, and engineers need to "do math," and it takes many years of college-level education to learn all that is required. Mathematical thinking is valuable to everyone, and can be mastered in about six weeks by anyone who has completed high school mathematics. Mathematical thinking does not have to be about mathematics at all, but parts of mathematics provide the ideal target domain to learn how to think that way, and that is the approach taken by this short but valuable book.The book is written primarily for first and second year students of science, technology, engineering, and mathematics (STEM) at colleges and universities, and for high school students intending to study a STEM subject at university. Many students encounter difficulty going from high school math to college-level mathematics. Even if they did well at math in school, most are knocked off course for a while by the shift in emphasis, from the K-12 focus on mastering procedures to the "mathematical thinking" characteristic of much university mathematics. Though the majority survive the transition, many do not. To help them make the shift, colleges and universities often have a "transition course." This book could serve as a textbook or a supplementary source for such a course.Because of the widespread applicability of mathematical thinking, however, the book has been kept short and written in an engaging style, to make it accessible to anyone who seeks to extend and improve their analytic thinking skills. Going beyond a basic grasp of analytic thinking that everyone can benefit from, the STEM student who truly masters mathematical thinking will find that college-level mathematics goes from being confusing, frustrating, and at times seemingly impossible, to making sense and being hard but doable.Dr. Keith Devlin is a professional mathematician at Stanford University and the author of 31 previous books and over 80 research papers. His books have earned him many awards, including the Pythagoras Prize, the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. He is known to millions of NPR listeners as "the Math Guy" on Weekend Edition with Scott Simon. He writes a popular monthly blog "Devlin's Angle" for the Mathematical Association of America, another blog under the name "profkeithdevlin", and also blogs on various topics for the Huffington Post.

There are two kinds of math: the hard kind and the easy kind. The easy kind, practiced by ants, shrimp, Welsh corgis -- and us -- is innate. What innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. Yet when they are confronted with the same tasks presented as "math," their accuracy often drops. But if we have innate mathematical ability, why do we have to teach math and why do most of us find it so hard to learn? Are there tricks or strategies that the ordinary person can do to improve mathematical ability? Can we improve our math skills by learning from dogs, cats, and other creatures that "do math"? The answer to each of these questions is a qualified yes. All these examples of animal math suggest that if we want to do better in the formal kind of math, we should see how it arises from natural mathematics. From NPR's "Math Guy" -- The Math Instinct will provide even the most number-phobic among us with confidence in our own mathematical abilities.

The companion to the hit CBS crime series Numb3rs presents the fascinating way mathematics is used to fight real-life crime Using the popular CBS prime-time TV crime series Numb3rs as a springboard, Keith Devlin (known to millions of NPR listeners as the Math Guy on NPR's Weekend Edition with Scott Simon) and Gary Lorden (the principal math advisor to Numb3rs) explain real-life mathematical techniques used by the FBI and other law enforcement agencies to catch and convict criminals. From forensics to counterterrorism, the Riemann hypothesis to image enhancement, solving murders to beating casinos, Devlin and Lorden present compelling cases that illustrate how advanced mathematics can be used in state-of-the-art criminal investigations.

Why do leopards grow spots when tigers grow stripes? Is the universe round, square, or some other shape? How do the dimples in a golf ball give it greater lift? Is there such a thing as a public mood? If so, how can we accurately take its pulse?Only one tool of the human mind has the power and versatility to answer so many questions about our world-mathematics. Far from a musty set of equations and proofs, mathematics is a vital and creative way of thinking and seeing. It is the most powerful means we have of exploring our world and how it works, from the darkest depths of the oceans to the faintest glimmers of far-away galaxies, and from the aerodynamics of figure-skating jumps to the shadows of the fourth dimension.In this captivating companion to the landmark PBS series Life by the Numbers, acclaimed author Keith Devlin reveals the astonishing range of creative and powerful ways in which scientists, artists, athletes, medical researchers, and many others are using mathematics to explore our world and to enhance our lives.On this exhilarating tour you will explore deep-sea volcanoes with oceanographer Dawn Wright, go behind the scenes of blockbuster movies with special-effects designer Doug Trumbull, and probe the strange lives of viruses with microbiologist Sylvia Spengler. Listen to astronomer Robert Kirshner describe how he is charting the curve of space; discover how biologist Mike Labarbara visualizes the way a Tyrannosaurus rex carried its massive frame; and, along with brain researcher Brad Hatfield, peer into the mind of an Olympic markswoman at the moment she takes a shot. Glimpse a future of wearable computers and silicon "butlers" with computer scientist Pattie Maes, and watch a lilac come to life on screen with "computer botanist" Przemyslaw Prusinkiewicz.Lavishly illustrated and beautifully written, Life by the Numbers brings mathematical exploration and invention to life through the stories of some of the most creative practitioners of the art. It imparts an appreciation of the ingenuity and the sheer fun of seeing our world through mathematical eyes.

A compelling firsthand account of Keith Devlin's ten-year quest to tell Fibonacci's storyIn 2000, Keith Devlin set out to research the life and legacy of the medieval mathematician Leonardo of Pisa, popularly known as Fibonacci, whose book Liber abbaci has quite literally affected the lives of everyone alive today. Although he is most famous for the Fibonacci numbers-which, it so happens, he didn't invent-Fibonacci's greatest contribution was as an expositor of mathematical ideas at a level ordinary people could understand. In 1202, Liber abbaci-the "e;Book of Calculation"e;-introduced modern arithmetic to the Western world. Yet Fibonacci was long forgotten after his death, and it was not until the 1960s that his true achievements were finally recognized.Finding Fibonacci is Devlin's compelling firsthand account of his ten-year quest to tell Fibonacci's story. Devlin, a math expositor himself, kept a diary of the undertaking, which he draws on here to describe the project's highs and lows, its false starts and disappointments, the tragedies and unexpected turns, some hilarious episodes, and the occasional lucky breaks. You will also meet the unique individuals Devlin encountered along the way, people who, each for their own reasons, became fascinated by Fibonacci, from the Yale professor who traced modern finance back to Fibonacci to the Italian historian who made the crucial archival discovery that brought together all the threads of Fibonacci's astonishing story.Fibonacci helped to revive the West as the cradle of science, technology, and commerce, yet he vanished from the pages of history. This is Devlin's search to find him.

The story of the man who introduced Hindu-Arabic numerals and the concept of zero to Europe that transformed business in the late Middle Ages and paved the way for the commercial and cultural explosion of the Renaissance

This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naive" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers.