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.

    This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

    Big and informative, "The New York Times Book of Mathematics" gathers more than 110 articles written from 1892 to 2010 that cover statistics, coincidences, chaos theory, famous problems, cryptography, computers, and many other topics. Edited by Pulitzer Prize finalist and senior "Times" writer Gina Kolata, and featuring renowned contributors such as James Gleick, William L. Laurence, Malcolm W. Browne, George Johnson, and John Markoff, it's a must-have for any math and science enthusiast!

    In The Irrationals , the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define--and why so many questions still surround them. That definition seems so simple: they are numbers that cannot be expressed as a ratio of two integers, or that have decimal expansions that are neither infinite nor recurring. But, as The Irrationals shows, these are the real "complex" numbers, and they have an equally complex and intriguing history, from Euclid's famous proof that the square root of 2 is irrational to Roger Apry's proof of the irrationality of a number called Zeta(3), one of the greatest results of the twentieth century. In between, Havil explains other important results, such as the irrationality of e and pi. He also discusses the distinction between "ordinary" irrationals and transcendentals, as well as the appealing question of whether the decimal expansion of irrationals is "random". Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.

    

    In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

    It provides practical information on health, visas, transport and places to stay and eat.

    His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order—a language Hogben shows one can both master and enjoy.

    It takes a clear and easy-to-understand look at some of the most profound questions we face, such as what happens when we die, is it possible to have the divine within, what are the causes of suffering, and how can spiritual realities be personally explored.Through reflections, as well as Q&A sections, Belsebuub delivers a powerful message about the potential each of us has to discover the deeper purpose of existence.From near-death experiences, to out-of-body experiences, the egos and subconscious, to finding peace within, this book gives a concise and exacting overview of the exploration of the human psyche and multidimensional reality, why the world is the way it is, why we dream, and how we can understand death while still alive.FINALIST BEST BOOK AWARDS 2009 IN SPIRITUALITY FEATURED ON THE COVER OF PUBLISHERS WEEKLY 5 STAR REVIEW IN FOREWORD MAGAZINEAbout the authorBelsebuub is the author of a number of books on spirituality, out-of-body experiences, dreams, self-discovery, and esoteric knowledge. He has appeared on radio and television programs internationally, and writes from decades of spiritual and mystical experience.Visit belsebuub.com for more information.

    The latest edition is ISBN: 1897244169)If you heard the Truth, would you believe it? Ancient civilizations. Hyperdimensional realities. DNA changes. Bible conspiracies. What are the realities? What is disinformation? The Secret History of The World and How To Get Out Alive is the definitive book of the real answers where Truth is more fantastic than fiction. Laura Knight-Jadczyk, wife of internationally known theoretical physicist, Arkadiusz Jadczyk, an expert in hyperdimensional physics, draws on science and mysticism to pierce the veil of reality. Due to the many threats on her life from agents and agencies known and unknown, Laura left the United States to live in France, where she is working closely with Patrick Rivière, student of Eugene Canseliet, the only disciple of the legendary alchemist Fulcanelli. To this day, Laura continues to undergo ad-hominem attacks on her web pages, her blog and even as faux book 'reviews' on book seller websites, by those threatened by the information she reveals in this definitive work.Yet, with sparkling humour and wisdom, she picks up where Fulcanelli left off, sharing over thirty years of research to reveal, for the first time, The Great Work and the esoteric Science of the Ancients in terms accessible to scholar and layperson alike.

    These poems attempt to capture the undying presence of love in all of its forms. Let your soul be deeply touched by the Rumi-like words of a lover drunk with passion for the truth.Here is a sample poem:truth is too simple for wordsbefore thought gets tangled up in nouns and verbsthere is a wordless sounda deep breathless sighof overwhelming reliefo find the end of fictionin this ordinaryyet extraordinary momentwhen words are recognizedas wordsand truth is recognizedas everything else

    The ancient Greeks were so horrified by the implications of an endless number that they drowned the man who gave away the secret. And a German mathematician was driven mad by the repercussions of his discovery of transfinite numbers. Brian Clegg and Oliver Pugh’s brilliant graphic tour of infinity features a cast of characters ranging from Archimedes and Pythagoras to al-Khwarizmi, Fibonacci, Galileo, Newton, Leibniz, Cantor, Venn, Gödel and Mandelbrot, and shows how infinity has challenged the finest minds of science and mathematics. Prepare to enter a world of paradox.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    Gerard 't Hooft was closely involved in many of the advances in modern theoretical physics that led to improved understanding of elementary particles, and this is a first-hand account of one of the most creative and exciting periods of discovery in the history of physics. Using language a layperson can understand, this narrative touches on many central topics and ideas, such as quarks and quantum physics; supergravity, superstrings and superconductivity; the Standard Model and grand unification; eleven-dimensional space time and black holes. This fascinating personal account of the past thirty years in one of the most dramatic areas in twentieth-century physics will be of interest to professional physicists and physics students, as well as the educated general reader with an interest in one of the most exciting scientific detective stories ever.

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.