The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understandingof paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questionsabout the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

    It would become the world's most baffling mathematical mystery. Simple, elegant, and utterly impossible to prove, Fermat's Last Theorem captured the imaginations of amateur and professional mathematicians for over three centuries. For some it became a wonderful passion. For others it was an obsession that led to deceit, intrigue, or insanity. In a volume filled with the clues, red herrings, and suspense of a mystery novel, Dr. Amir Aczel reveals the previously untold story of the people, the history, and the cultures that lie behind this scientific triumph. From formulas devised for the farmers of ancient Babylonia to the dramatic proof of Fermat's theorem in 1993, this extraordinary work takes us along on an exhilarating intellectual treasure hunt. Revealing the hidden mathematical order of the natural world in everything from stars to sunflowers, "Fermat's Last Theorem" brilliantly combines philosophy and hard science with investigative journalism. The result: a real-life detective story of the intellect, at once intriguing, thought-provoking, and impossible to put down.

    . . like a pendulum? These may not look like math questions, but they are-because they all have to do with patterns. And mathematics, at heart, is the study of patterns. That realization changed Eddie Woo's life-by turning the "dry" subject he dreaded in high school into a boundless quest for discovery. Now an award-winning math teacher, Woo sees patterns everywhere: in the "branches" of blood vessels and lightning, in the growth of a savings account and a sunflower, even in his morning cup of tea! Here are twenty-six bite-size chapters on the hidden mathematical marvels that encrypt our email, enchant our senses, and even keep us alive-from the sine waves we hear as "music" to the mysterious golden ratio. This book will change your mind about what math can be. We are all born mathematicians-and It's a Numberful World.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    What do you want to learn? Discover the Power of Real Data Mario Triola remains the market-leading statistics author by engaging readers of each edition with an abundance of real data in the examples, applications, and exercises. Statistics is all around us, and Triola helps readers understand how this course will impact their lives beyond the classroom–as consumers, citizens, and professionals. Essentials of Statistics, Fourth Edition is a more economical and streamlined introductory statistics text. Drawn from Triola’s Elementary Statistics, Eleventh Edition, this text provides the same student-friendly approach with material presented in a real-world context. The Fourth Edition contains more than 1,700 exercises (18% more than the previous edition); 89% are new and 81% use real data. The book also contains hundreds of examples; 86% are new and 92% use real data. By analyzing real data, readers are able to connect abstract concepts to the world at large, teaching them to think statistically and apply their conceptual understanding using the same methods that professional statisticians employ. Datasets and other resources (where applicable) for this book are available here.

    How to Fish is a gem of a book that gets to the heart of the passion for angling: that there's more to fishing than catching fish.

    In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.

    The most trusted sources in the auto industry have called its Model S the most advanced, safest and best-performing car ever built - and it doesn’t use a drop of gasoline. Tesla has changed the way the public perceives electric vehicles, and inspired the major automakers to revive their own dormant efforts to sell EVs. However, even amidst the avalanche of media coverage that followed the triumph of the Model S, few have grasped the true significance of what is happening. Tesla has redefined the automobile, sparked a new wave of innovation comparable to the internet and mobile computing revolutions, and unleashed forces that will transform not just the auto industry, but every aspect of society. The Tesla story is one part of an ongoing tide of change driven by the use of information technology to eliminate “friction” such as geographic distance, middlemen and outdated regulations. Tesla is simply applying the new order to the auto industry, but the automobile is such a pervasive influence in our lives that redefining how it is designed, built, driven and sold will have sweeping effects in unexpected areas. Just as Tesla built the Model S as an electric vehicle “from the ground up,” it has taken an outsider’s approach to the way it markets its cars. Its direct sales model has drawn legal challenges from entrenched auto dealers, who fear that their outdated business model will be destroyed. Its systems approach to the software and electronics in its cars has highlighted how far behind the technological times the major automakers are. It’s easy to see why readers find Tesla irresistible. CEO Elon Musk is a superstar entrepreneur, a “nauseatingly pro-US” immigrant and the leader of two other cutting-edge companies. Tesla dares to challenge the establishment behemoths and, so far at least, has handily beaten them at their own game. In this history of the 21st century’s most exciting startup, Charles Morris begins with a brief history of EVs and a biography of Tesla’s driving force, Elon Musk. He then details the history of the company, told in the words of the Silicon Valley entrepreneurs who made it happen. There are many fascinating stories here: Martin Eberhard’s realization that there were many like himself, who loved fast cars but wanted to help the environment and bring about the post-oil age; the freewheeling first days, reminiscent of the early internet era; the incredible ingenuity of the team who built the Roadster; Tesla’s near-death experience and miraculous resurrection; the spiteful split between the company’s larger-than-life leaders; the gloves-off battles with hostile media such as Top Gear and the New York Times; and the media’s ironic about-face when the magnificent Model S won the industry’s highest honors, and naysayers became cheerleaders overnight. And the story is just beginning: Tesla has breathtakingly ambitious plans for the future.This book was updated May 1, 2015 to include the latest on the Gigafactory and the D package.

    The book emphasizes a general introduction to probability theory and provides a detailed discussion of specific designs and analyses that are typically encountered in ecology and environmental science. Appropriate for use as either a stand-alone or supplementary text for upper-division undergraduate or graduate courses in ecological and environmental statistics, ecology, environmental science, environmental studies, or experimental design, the Primer also serves as a resource for environmental professionals who need to use and interpret statistics daily but have little or no formal training in the subject.

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    As the zombie virus spreads and civilization crumbles, Williams uses calculus to help his small band of survivors defeat the hordes of the undead. Along the way, readers learn how to avoid being eaten by taking advantage of the fact that zombies always point their tangent vector toward their target, and how to use exponential growth to determine the rate at which the virus is spreading. Williams also covers topics such as logistic growth, gravitational acceleration, predator-prey models, pursuit problems, the physics of combat, and more. With the aid of his story, you too can survive the zombie onslaught.Featuring easy-to-use appendixes that explain the mathematics necessary to enjoy the book, "Zombies and Calculus" is suitable for recent converts to calculus as well as more advanced readers familiar with multivariable calculus.

    This isn't another nice-sounding, but powerless self-help book. It's not filled with pop-psychology. It's a field-tested method of erasing traumatic wounds in your soul and releasing the painful emotions associated with them. And it doesn't require long hours of prayer or counseling. You can do it yourself and it will only take a few minutes. If you're ready to ditch your emotional baggage, put your past behind you, and get off the emotional roller-coaster you've been riding, you're just 30 minutes away from a new you. Are you ready?

    Russell Lee writes about the world of DEMONS and what happens when someone is POSSESSED! Read about EXORCISMS and the titanic battles with the devil.

    The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.

    It languished in obscurity for centuries until computers came along and made it easy to crunch the numbers. Now, as the foundation of big data, Bayes' formula has become a linchpin of the digital economy.But here's where things get really interesting: Bayes' theorem can also be used to lay odds on the existence of extraterrestrial intelligence; on whether we live in a Matrix-like counterfeit of reality; on the "many worlds" interpretation of quantum theory being correct; and on the biggest question of all: how long will humanity survive?The Doomsday Calculation tells how Silicon Valley's profitable formula became a controversial pivot of contemporary thought. Drawing on interviews with thought leaders around the globe, it's the story of a group of intellectual mavericks who are challenging what we thought we knew about our place in the universe. The Doomsday Calculation is compelling reading for anyone interested in our culture and its future.