It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights.Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles.Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.

    I also hope that it will serve as a useful reference too for the many workers engaged in one type of solid state research activity or another, who may be without formal training in the subject.

    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.

    Topics include:• Archived Items • Battery Replacement • Calculator Functionality • Checking Your Email • Collections • Contacting Amazon's Kindle Customer Service • Converting PDF Documents to Kindle Format • Discussion Boards • Displaying the Time • Download Problems - What To Do • Formatting Issues in a Kindle Book - What To Do • Games on Your Kindle • Gifting a Kindle Book / Gift Certificates • Internet Access (it’s free) on Your Kindle • Internet Bookmarks• Kindle Reading to You (Text to Speech) • Lending Books• Losing Your Place While Reading • Lost Kindle Tip • Mobile Websites - Access Them on Your Kindle • Password Protection • Permanent Deletion of a Title • Pictures on Your Kindle • Playing Music on Your Kindle • Popular Highlights Feature - Turning it Off • Reset Your Kindle • Samples of Books • Screen Freeze Fix • Screenshots - Printing Out What You See • Social Networking with Facebook and Twitter • Transferring Books to Your Kindle • Transferring Existing Collections to Your New Kindle • Checking the Weather • Wireless Coverage for Your Kindle • Random Tips • Blogs Available on Your KindleMichael Gallagher is the author of several bestselling Kindle “how-to” guides, and his title “Free Kindle Books and How to Find Them” has been the #1 Kindle reference guide for over two years, garnering #53 and #72 on the Top 100 Kindle bestseller lists for all Kindle book titles in 2010 and 2011, respectively. His “Kindle Books and Tips” blog has been the #1 bestselling subscription blog in the Amazon Kindle Store since 2010. You can visit his author page on the Amazon website at http://www.amazon.com/author/gallagher

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    ASIN: 0312295170

    Edward de Bono coined the phrase "lateral thinking" to describe a process of thinking that is different from normal, vertical or forward thinking. Here are nearly a hundred mind-benders, from easy to fiendishly hard, that make you think laterally in order to explain the set of circumstances surrounding a seemingly inexplicable situation. 96 pages, 18 b/w illus., 5 3/8 x 8 1/4.

    An extremely clever account.--The New Yorker.

    Written by two of the field's true pioneers, Spacetime Physics can extend and enhance coverage of specialty relativity in the classroom. This thoroughly up-to-date, highly accessible overview covers microgravity, collider accelerators, satellite probes, neutron detectors, radioastronomy, and pulsars.  The chapter on general relativity with new material on gravity waves, black holes, and cosmology.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    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.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    Yet, most hold em players who transition to the heads-up form, especially if they are from full ring no-limit games, do not succeed. Adjusting to the amount of aggression can be difficult since heads-up battles require you to bet and raise with many more hands than what would be considered standard at a full table. Despite this, no-limit heads-up hold em is growing rapidly, especially on the Internet. So mastering this form of poker can be invaluable for those seeking to add a winning loose-aggressive component to their game. In addition, with the increasing number of heads-up matches now available, becoming proficient in them can be highly profitable. This text, written by expert heads-up player Collin Moshman, is the first poker strategy book devoted exclusively to no-limit heads-up play. Through extensive hand examples and accompanying theory, you will learn to: 1. Master expected value, equity, value betting, and the fundamental mathematics of heads-up strategy, 2. Play and exploit each of the most common playing styles, 3. Manipulate the pot size based on your hand and your opponent, 4. Attack button limps, bluff multiple streets, and aggress in the most profitable manner, 5. Distinguish between optimal cash and tournament strategies, 6. Exploit your opponents tendencies and perceptions through metagame mastery, and 7. Maximize your heads-up profits through game theory and fundamental business concepts. So whether you are an aspiring heads-up professional, or want to be ready for the next time you re challenged to a one-on-one battle, Heads Up No-Limit Hold em provides you with the tools you need to succeed.

    The emphasis is, instead, on the myriad ways in which the universe presents itself to us--and how, as observers and participants in its processes, we respond to it. "Life, like a dome of many-colored glass," wrote Percy Bysshe Shelley, "stains the white radiance of eternity." The author seeks here to explore the variety that gives life its beauty.Taken from Dyson's recent public lectures--delivered to audiences with no specialized knowledge in hard sciences--the book begins with a consideration of the practical and political questions surrounding biotechnology. As he seeks how best to explain the place of life in the universe, Dyson then moves from the ethical to the purely scientific. The book concludes with an attempt to understand the implications of biology for philosophy and religion.The pieces in this collection touch on numerous disciplines, from astronomy and ecology to neurology and theology, speaking to the lay reader as well as to the scientist. As always, Dyson's view of human nature and behavior is balanced, and his predictions of a world to come serve primarily as a means for thinking about the world as it is today.

    This is a strange world of never-ending chess games, empires on the moon, furious fireflies, and, of course, disputes over how best to cut a cake. Each chapter--with titles such as, How to Play Poker By Post and Repealing the Law of Averages--presents a fascinating mathematical puzzle that is challenging, fun, and introduces the reader to a significant mathematical problem in an engaging and witty way. Illustrated with clever and quirky cartoons, each tale will delight those who love puzzles and mathematical conundrums.