A prize of one million dollars was offered to anyone who could unravel it, but Perelman declined the winnings, and in doing so inspired journalist Masha Gessen to tell his story. Drawing on interviews with Perelman’s teachers, classmates, coaches, teammates, and colleagues in Russia and the United States—and informed by her own background as a math whiz raised in Russia—Gessen uncovered a mind of unrivaled computational power, one that enabled Perelman to pursue mathematical concepts to their logical (sometimes distant) end. But she also discovered that this very strength turned out to be Perelman's undoing and the reason for his withdrawal, first from the world of mathematics and then, increasingly, from the world in general.

    Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping--and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements.Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin--who founded the famous Moscow School of Mathematics--were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite--and led to the founding of descriptive set theory.The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and -creativity.

    In Grimoires: A History of Magic Books, Owen Davies illuminates the many fascinating forms these recondite books have taken and exactly what these books held. At their most benign, these repositories of forbidden knowledge revealed how to make powerful talismans and protective amulets, and provided charms and conjurations for healing illness, finding love, and warding off evil. But other books promised the power to control innocent victims, even to call up the devil. Davies traces the history of this remarkably resilient and adaptable genre, from the ancient Middle East to modern America, offering a new perspective on the fundamental developments of western civilization over the past two thousand years. Grimoires shows the influence magic and magical writing has had on the cultures of the world, richly demonstrating the role they have played in the spread of Christianity, the growth of literacy, and the influence of western traditions from colonial times to the present.

    But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them.Hidden symmetries were first discovered nearly two hundred years ago by French mathematician �variste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination.The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.

    Drawing on his experiences as a former priest, Watts skillfully explains how the intuition of Eastern religion—Zen Buddhism, in particular—can be incorporated into the doctrines of Western Christianity, allowing people of all creeds to enjoy a deeper, more meaningful relationship with the spiritual in our present troubled times.

    Are such powers really possible? Science says yes.According to noted scientist and bestselling author of The Conscious Universe, Dean Radin, magic is a natural aspect of reality, and each of us can tap into this power with diligent practice.But wait, aren't things like ESP and telepathy just wishful thinking and flights of the imagination? Not according to the author, who worked on the US government's top secret psychic espionage program known as Stargate. Radin has spent the last forty years conducting controlled experiments that demonstrate that thoughts are things, that we can sense others' emotions and intentions from a distance, that intuition is more powerful than we thought, and that we can tap into the power of intention (think The Secret, only on a more realistic and scientific level). These dormant powers can help us to lead more interesting and fulfilling lives.Beginning with a brief history of magic over the centuries (what was called magic two thousand years ago is turning out to be scientific fact today), a review of the scientific evidence for magic, a series of simple but effective magical techniques (the key is mental focus, something elite athletes know a lot about), Radin then offers a vision of a scientifically-informed magic and explains why magic will play a key role in frontiers of science.

    Americans all, they were among the famous figures whose paths intertwined with the mystical and esoteric movement broadly known as the occult. Brought over from the Old World and spread throughout the New by some of the most obscure but gifted men and women of early U.S. history, this “hidden wisdom” transformed the spiritual life of the still-young nation and, through it, much of the Western world.Yet the story of the American occult has remained largely untold. Now a leading writer on the subject of alternative spirituality brings it out of the shadows. Here is a rich, fascinating, and colorful history of a religious revolution and an epic of offbeat history. From the meaning of the symbols on the one-dollar bill to the origins of the Ouija board, Occult America briskly sweeps from the nation’s earliest days to the birth of the New Age era and traces many people and episodes, including:•The spirit medium who became America’s first female religious leader in 1776 •The supernatural passions that marked the career of Mormon prophet Joseph Smith •The rural Sunday-school teacher whose clairvoyant visions instigated the dawn of the New Age •The prominence of mind-power mysticism in the black-nationalist politics of Marcus Garvey•The Idaho druggist whose mail-order mystical religion ranked as the eighth-largest faith in the world during the Great Depression Here, too, are America’s homegrown religious movements, from transcendentalism to spiritualism to Christian Science to the positive-thinking philosophy that continues to exert such a powerful pull on the public today. A feast for believers in alternative spirituality, an eye-opener for anyone curious about the unknown byroads of American history, Occult America is an engaging, long-overdue portrait of one nation, under many gods, whose revolutionary influence is still being felt in every corner of the globe.

    The Perennial Philosophy includes selections from Meister Eckhart, Rumi, and Lao Tzu, as well as the Bhagavad Gita, Tibetan Book of the Dead, Diamond Sutra, and Upanishads, among many others.

    Purchasers are entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Subjects: Astronomy; History / General; Juvenile Nonfiction / Science

    Readers will progress from building a basic physics engine to creating intelligent moving objects and complex systems, setting the foundation for further experiments in generative design. Subjects covered include forces, trigonometry, fractals, cellular automata, self-organization, and genetic algorithms. The book's examples are written in Processing, an open-source language and development environment built on top of the Java programming language. On the book's website (http://www.natureofcode.com), the examples run in the browser via Processing's JavaScript mode.

    But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

    It forcefully argues that morality as we know it is a power structure disguised as knowledge; that law is based upon this false idol; and that thus power is, in fact, the basis of all life.www.philosopher.eufacebook.com/ontologistics

    This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you: Why cans, pizza, and manhole covers are round.Why one and two weren't considered numbers by the ancient Greeks.Why squares show up so often in goddess art and board games.What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies. How the human body shares the design of a bean plant and the solar system. How a snowflake is like Stonehenge, and a beehive like a calendar. How our ten fingers hold the secrets of both a lobster a cathedral, and much more.

    A Key Strength Of This Text Is Zill'S Emphasis On Differential Equations As Mathematical Models, Discussing The Constructs And Pitfalls Of Each. The Third Edition Is Comprehensive, Yet Flexible, To Meet The Unique Needs Of Various Course Offerings Ranging From Ordinary Differential Equations To Vector Calculus. Numerous New Projects Contributed By Esteemed Mathematicians Have Been Added. Key Features O The Entire Text Has Been Modernized To Prepare Engineers And Scientists With The Mathematical Skills Required To Meet Current Technological Challenges. O The New Larger Trim Size And 2-Color Design Make The Text A Pleasure To Read And Learn From. O Numerous NEW Engineering And Science Projects Contributed By Top Mathematicians Have Been Added, And Are Tied To Key Mathematical Topics In The Text. O Divided Into Five Major Parts, The Text'S Flexibility Allows Instructors To Customize The Text To Fit Their Needs. The First Eight Chapters Are Ideal For A Complete Short Course In Ordinary Differential Equations. O The Gram-Schmidt Orthogonalization Process Has Been Added In Chapter 7 And Is Used In Subsequent Chapters. O All Figures Now Have Explanatory Captions. Supplements O Complete Instructor'S Solutions: Includes All Solutions To The Exercises Found In The Text. Powerpoint Lecture Slides And Additional Instructor'S Resources Are Available Online. O Student Solutions To Accompany Advanced Engineering Mathematics, Third Edition: This Student Supplement Contains The Answers To Every Third Problem In The Textbook, Allowing Students To Assess Their Progress And Review Key Ideas And Concepts Discussed Throughout The Text. ISBN: 0-7637-4095-0

    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.