Chaos exists in systems all around us. Even the simplest system can be subject to chaos, denying us accurate predictions of its behavior, and sometimes giving rise to astonishing structures of large-scale order. Here, Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible math and physics to explain Chaos Theory, and points to numerous examples in philosophy and literature that illuminate the problems. This book provides a complete understanding of chaotic dynamics, using examples from mathematics, physics, philosophy, and the real world, with an explanation of why chaos is important and how it differs from the idea of randomness. The author's real life applications include the weather forecast, a pendulum, a coin toss, mass transit, politics, and the role of chaos in gambling and the stock market. Chaos represents a prime opportunity for mathematical lay people to finally get a clear understanding of this fascinating concept.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 hundreds of key topics, from philosophy to Freud, quantum theory to Islam.
Modesty, humor, compassion, and wisdom are the traits most evident in these personal papers, most of them never before published, from the Einstein archives. The illustrious physicist wrote as thoughtfully to an Ohio fifth-grader, distressed by her discovery that scientists classify humans as animals, as to a Colorado banker, who asked whether he believed in a personal God. Witty rhymes, and exchange about fine music with Queen Elizabeth of Belgium, and expressions of his devotion to Zionism are but some of the highlights found in this rare, warm enriching book.
Highlighting groundbreaking research behind network theory, "Mark Buchanan's graceful, lucid, nontechnical and entertaining prose" (Mark Granovetter) documents the mounting support among various disciplines for the small-worlds idea and demonstrates its practical applications to diverse problems--from the volatile global economy or the Human Genome Project to the spread of infectious disease or ecological damage. Nexus is an exciting introduction to the hidden geometry that weaves our lives so inextricably together.
Quantum theorist Erwin Schrvdinger invented his now-famous cat to illustrate the apparently impossible conundrums associated with quantum physics. The cat lives in an opaque box with a fiendish device that randomly feeds it either food, allowing it to live, or poison, which kills it. But in the quantum world, all possibilities coexist and have a reality of their own, and they ensure that the cat is both alive and dead, simultaneously.
Who's Afraid of Schrvdinger's Cat? is a clear, concise explanation of the new sciences of quantum mechanics, chaos and complexity theory, relativity, new theories of mind, and the new cosmology. It studies worlds beyond the realm of common sense, and the new kinds of thinking that we need to understand ourselves, our minds, and our human place in the larger scheme of things.
A cocktail party? A terrorist cell? Ancient bacteria? An international conglomerate?
All are networks, and all are a part of a surprising scientific revolution. Albert-Laszlo Barabasi, the nation's foremost expert in the new science of networks and author of "Bursts," takes us on an intellectual adventure to prove that social networks, corporations, and living organisms are more similar than previously thought. Grasping a full understanding of network science will someday allow us to design blue-chip businesses, stop the outbreak of deadly diseases, and influence the exchange of ideas and information. Just as James Gleick and the Erdos-Renyi model brought the discovery of chaos theory to the general public, "Linked" tells the story of the true science of the future and of experiments in statistical mechanics on the internet, all vital parts of what would eventually be called the Barabasi-Albert model.
Tells of the lives and revolutionary work of Curie and her husband Pierre, whose work with radiation had an enormous impact on modern physics, and whose legacy was carried on by their daughter and son-in-law
Mike Lynch is Minnesota's most popular amateur astronomer and instructor. He has been leading stargazing classes for more than 30 years as well as writing a weekly astronomy column for the "St. Paul Pioneer Press." In his other life, Mike has been a meteorologist and popular radio personality at WCCO Radio for 23 years. Now with "Mike Lynch's Minnesota StarWatch" you can easily pick up what thousands of Minnesotans, ages 12 and up, have learned in his popular stargazing classes. You won't find a more enthusiastic guide to the night sky than Mike Lynch and you won't find a better guidebook to our night sky than "Mike Lynch's Minnesota Star Watch."
"A wealth of intriguing and lovely ideas." -- Information Technology & Learning.
While the beauty of mathematics is often discussed, the aesthetic appeal of the discipline is seldom demonstrated as clearly as in this intriguing journey into the realms where art and mathematics merge. Aimed at a wide range of ages and abilities, this engrossing book explores the possibilities of mathematical drawing through compass constructions and computer graphics.
Compass construction is an extremely ancient art, requiring no special skills other than the care it takes to place a compass point accurately. For the computer graphics part of the present work, however, readers will need some familiarity with basic high school mathematics-mainly algebra and trigonometry. Still, much of the book can be enjoyed even by "mathophobes," for it is about lines and circles and how to put them together to make various patterns, both abstract and natural.
One hundred and six full-page drawings, ranging from totally abstract to somewhat pictorial, demonstrate the possibilities of mathematical drawing and serve as inspiration to readers to carry out their own creative investigations. Among the illustrations are such intriguing configurationsas a five-point egg, golden ratio, 17-gon, plughole vortex, blancmange curve, Durer's pentagons, pentasnow, turtle geometry, and many more. In guiding students toward the comprehension and creation of such figures, the author explains helpful basic principles (of number, length and angle) as well as reviewing relevant fundamentals of trigonometry. In addition, he has provided numerous useful exercises (with answers} at the ends of the chapters, together with recommended further reading, detailed in the bibliography. 211 black-and-white illustrations. Bibliography. Index.
Already climbing the bestseller lists-and garnering rave reviews--this little masterpiece sheds brilliant light on the equation that changed the world.
Bodanis begins by devoting chapters to each of the equation's letters and symbols, introducing the science and scientists forming the backdrop to Einstein's discovery--from Ole Roemer's revelation that the speed of light could be measured to Michael Faraday's pioneering work on energy fields. Having demystified the equation, Bodanis explains its science and brings it to life historically, making clear the astonishing array of discoveries and consequences it made possible. It would prove to be a beacon throughout the twentieth century, important to Ernest Rutherford, who discovered the structure of the atom, Enrico Fermi, who probed the nucleus, and Lise Meitner, who finally understood how atoms could be split wide open. And it has come to inform our daily lives, governing everything from the atomic bomb to a television's cathode-ray tube to the carbon dating of prehistoric paintings.