In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

    Indeed, numbers are part of every discipline in the sciences and the arts.With 350 illustrations, including diagrams, photographs and computer imagery, the book chronicles the centuries-long search for the meaning of numbers by famous and lesser-known mathematicians, and explains the puzzling aspects of the mathematical world. Topics include:The earliest ideas of numbers and counting Patterns, logic, calculating Natural, perfect, amicable and prime numbers Numerology, the power of numbers, superstition The computer, the Enigma Code Infinity, the speed of light, relativity Complex numbers The Big Bang and Chaos theories The Philosopher's Stone. The Book of Numbers shows enthusiastically that numbers are neither boring nor dull but rather involve intriguing connections, rivalries, secret documents and even mysterious deaths.

    How we react to a beautiful painting or symphony draws upon instincts laid down long before humans existed. Now, in this enhanced edition of the highly popular The Artful Universe, Barrow further explores the close ties between our aesthetic appreciation and the basic nature of the Universe. Barrow argues that the laws of the Universe have imprinted themselves upon our thoughts and actions in subtle and unexpected ways. Why do we like certain types of art or music? What games and puzzles do we find challenging? Why do so many myths and legends have common elements? In this eclectic and entertaining survey, Barrow answers these questions and more as he explains how the landscape of the Universe has influenced the development of philosophy and mythology, and how millions of years of evolutionary history have fashioned our attraction to certain patterns of sound and color. Barrow casts the story of human creativity and thought in a fascinating light, considering such diverse topics as our instinct for language, the origins and uses of color in nature, why we divide time into intervals as we do, the sources of our appreciation of landscape painting, and whether computer-generated fractal art is really art. Drawing on a wide variety of examples, from the theological questions raised by St. Augustine and C.S. Lewis to the relationship between the pure math of Pythagoras and the music of the Beatles, The Artful Universe Expanded covers new ground and enters a wide-ranging debate about the meaning and significance of the links between art and science.

    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.

    joyfully shows you how to make nature's numbers dance."--Bill Nye (the science guy)The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the "mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math fan and math-phobic alike."A positively joyful exploration of mathematics."-Publishers Weekly, starred review"Each [trick] is more dazzling than the last."-Physics World

    It is based on the idea that everyone acts competitively and in his own best interest. With the help of mathematical models, it is possible to anticipate the actions of others in nearly all life's enterprises. This book includes down-to-earth examples and solutions, as well as charts and illustrations designed to help teach the concept. In The Complete Idiot's Guide® to Game Theory, Dr. Edward C. Rosenthal makes it easy to understand game theory with insights into:? The history of the disciple made popular by John Nash, the mathematician dramatized in the film A Beautiful Mind? The role of social behavior and psychology in this amazing discipline? How important game theory has become in our society and why

    While this version features an older Dummies cover and design, the content is the same as the new release and should not be considered a different product. The fun and easy way to get up to speed on the basic concepts of physics For high school and undergraduate students alike, physics classes are recommended or required courses for a wide variety of majors, and continue to be a challenging and often confusing course.Physics I For Dummies tracks specifically to an introductory course and, keeping with the traditionally easy-to-follow Dummies style, teaches you the basic principles and formulas in a clear and concise manner, proving that you don't have to be Einstein to understand physics!Explains the basic principles in a simple, clear, and entertaining fashion New edition includes updated examples and explanations, as well as the newest discoveries in the field Contains the newest teaching techniques If just thinking about the laws of physics makes your head spin, this hands-on, friendly guide gets you out of the black hole and sheds light on this often-intimidating subject.

    Over the years, the show has examined such issues as genetic mutation, time travel, artificial intelligence, and even aliens. "What's Science Ever Done for Us?" examines these and many other topics through the lens of America's favorite cartoon.This spirited science guide will inform Simpsons fans and entertain science buffs with a delightful combination of fun and fact. It will be the perfect companion to the upcoming Simpsons movie.The Simpsons is a magnificent roadmap of modern issues in science. This completely unauthorized, informative, and fun exploration of the science and technology, connected with the world's most famous cartoon family, looks at classic episodes from the show to launch fascinating scientific discussions mixed with intriguing speculative ideas and a dose of humor. Could gravitational lensing create optical illusions, such as when Homer saw someone invisible to everyone else? Is the Coriolis effect strong enough to make all toilets in the Southern Hemisphere flush clockwise, as Bart was so keen to find out? If Earth were in peril, would it make sense to board a rocket, as Marge, Lisa, and Maggie did, and head to Mars? While Bart and Millhouse can't stop time and have fun forever, Paul Halpern explores the theoretical possibilities involving Einstein's theory of time dilation.Paul Halpern, PhD (Philadelphia, PA) is Professor of Physics and Mathematics at the University of the Sciences in Philadelphia and a 2002 recipient of a John Simon Guggenheim Memorial Fellowship. He is also the author of The Great Beyond (0-471-46595-X).

    It is the only book that gives a full introduction to programming in MATLAB combined with an explanation of MATLAB's powerful functions. The book differs from other texts in that it teaches programming concepts and the use of the built-in functions in MATLAB simultaneously. It presents programming concepts and MATLAB built-in functions side-by-side, giving students the ability to program efficiently and exploit the power of MATLAB to solve problems. The systematic, step-by-step approach, building on concepts throughout the book, facilitates easier learning.Starting with basic programming concepts, such as variables, assignments, input/output, selection, and loop statements, problems are introduced and solved throughout the book. The book is organized into two parts. Part I covers the programming constructs and demonstrates programming versus efficient use of built-in functions to solve problems. Part II describes the applications, including plotting, image processing, and mathematics, needed in basic problem solving. The chapters feature sections called Quick Question! as well as practice problems designed to test knowledge about the material covered. Problems are solved using both The Programming Concept and The Efficient Method, which facilitates understanding the efficient ways of using MATLAB, and also the programming concepts used in these efficient functions and operators. There are also sections on 'common pitfalls' and 'programming guidelines' that direct students towards best practice.This book is ideal for engineers learning to program and model in MATLAB, as well as undergraduates in engineering and science taking a course on MATLAB.

    The remaining lectures build on that idea, examining the possibility of building a relativistic quantum theory on curved surfaces or flat surfaces.

    

    Rejecting the idea that we should live in fear, suffer silently, or medicate ourselves unnecessarily through this hormonal shift, Mathews set out to get answers and advice from the medical establishment, alternative therapists, and her many friends in the midst of "the change." When she launched the Megs Menopause website, it quickly became the trending online destination for pre- and menopausal women all over the world.Now, in The New Hot, Mathews offers the results of all her research and discussions: the latest information about hormone treatments (hormone replacement therapy and bioidentical hormone therapy), her best tips and techniques for coping with menopausal symptoms (there are officially thirty-four possible symptoms; Mathews has dealt with thirty-two!), and dishy, girlfriend-to-girlfriend advice about what to really expect when you're aging. Entertaining, stylish, and informative, The New Hot will be the resource women everywhere are talking about, learning from, and recommending to one another.

    Fundamentals of Biostatistics with CD-Rom.

    In the process, we meet scientific luminaries and personalities of imperial Germany, as well as Galileo, Faraday, and Newton; learn why moving clocks run slower than stationary ones, why nothing can go faster than the speed of light; and follow Albert's thought as he works his way toward E = mc2, the most famous equation of the twentieth century.

    A meld of history and science, this book is a group portrait of some of the greatest minds who ever lived as they wrestled with nature’s most sweeping mysteries. The answers they uncovered still hold the key to how we understand the world.At the end of the seventeenth century—an age of religious wars, plague, and the Great Fire of London—when most people saw the world as falling apart, these earliest scientists saw a world of perfect order. They declared that, chaotic as it looked, the universe was in fact as intricate and perfectly regulated as a clock. This was the tail end of Shakespeare’s century, when the natural land the supernatural still twined around each other. Disease was a punishment ordained by God, astronomy had not yet broken free from astrology, and the sky was filled with omens. It was a time when little was known and everything was new. These brilliant, ambitious, curious men believed in angels, alchemy, and the devil, and they also believed that the universe followed precise, mathematical laws—-a contradiction that tormented them and changed the course of history.The Clockwork Universe is the fascinating and compelling story of the bewildered geniuses of the Royal Society, the men who made the modern world.