A remarkable pictorial discussion of the curved space-time we call home, it achieves even greater impact through the use of 141 excellent illustrations. This is the first sustained visual account of many important topics in relativity theory that up till now have only been treated separately.Finding a perfect analogy in the situation of the geometrical characters in Flatland, Professor Rucker continues the adventures of the two-dimensional world visited by a three-dimensional being to explain our three-dimensional world in terms of the fourth dimension. Following this adventure into the fourth dimension, the author discusses non-Euclidean geometry, curved space, time as a higher dimension, special relativity, time travel, and the shape of space-time. The mathematics is sound throughout, but the casual reader may skip those few sections that seem too purely mathematical and still follow the line of argument. Readable and interesting in itself, the annotated bibliography is a valuable guide to further study.Professor Rucker teaches mathematics at the State University of New York in Geneseo. Students and laymen will find his discussion to be unusually stimulating. Experienced mathematicians and physicists will find a great deal of original material here and many unexpected novelties. Annotated bibliography. 44 problems.

    Features exceptionally clear explanations and descriptions, step-by-step examples, more than 50 practical applications, over 2000 easy-to-challenging practice problems, and comprehensive coverage of essentials. PSpice, OrCAd version 9.2 Lite Edition, Multisims 2001 version of Electronics Workbench, and MathCad software references and examples are used throughout. Computer programs (C++, BASIC and PSpice) are printed in color, as they run, at the point in the book where they are discussed. Current and Voltage. Resistance. Ohm's Law, Power, and Energy. Series Circuits. Parallel Circuits. Series-Parallel Networks. Methods of Analysis & Selected Topics. Network Theorems. Capacitors. Magnetic Circuits. Inductors. Sinusodial Alternating Waveforms. The Basic Elements and Phasors. Series and Parallel ac Circuits. Series-Parallel ac Networks. Methods of Analysis and Related Topics. Network Theorems (ac). Power (ac). Resonance. Transformers. Polyphase Systems. Decibels, Filters, and Bode Points. Pulse Waveforms and the R-C Response. Nonsinusodial Circuits. System Analysis: An Introduction. For those working in electronic technology.

    It may have been the most momentous spiritual retreat since Jesus spent those forty days in the wilderness.  With these words, Philip Goldberg begins his monumental work, American Veda, a fascinating look at India’s remarkable impact on Western culture. This eye-opening popular history shows how the ancient philosophy of Vedanta and the mind-body methods of Yoga have profoundly affected the worldview of millions of Americans and radically altered the religious landscape.   What exploded in the 1960s actually began more than two hundred years earlier, when the United States started importing knowledge as well as tangy spices and colorful fabrics from Asia. The first translations of Hindu texts found their way into the libraries of John Adams and Ralph Waldo Emerson. From there the ideas spread to Henry David Thoreau, Walt Whitman, and succeeding generations of receptive Americans, who absorbed India’s “science of consciousness” and wove it into the fabric of their lives. Charismatic teachers like Swami Vivekananda and Paramahansa Yogananda came west in waves, prompting leading intellectuals, artists, and scientists such as Aldous Huxley, Joseph Campbell, Allen Ginsberg, J. D. Salinger, John Coltrane, Dean Ornish, and Richard Alpert, aka Ram Dass, to adapt and disseminate what they learned from them. The impact has been enormous, enlarging our current understanding of the mind and body and dramatically changing how we view ourselves and our place in the cosmos.  Goldberg paints a compelling picture of this remarkable East-to-West transmission, showing how it accelerated through the decades and eventually moved from the counterculture into our laboratories, libraries, and living rooms.  Now physicians and therapists routinely recommend meditation, words like karma and mantra are part of our everyday vocabulary, and Yoga studios are as ubiquitous as Starbuckses. The insights of India’s sages permeate so much of what we think, believe, and do that they have redefined the meaning of life for millions of Americans—and continue to do so every day.   Rich in detail and expansive in scope, American Veda shows how we have come to accept and live by the central teaching of Vedic wisdom: “Truth is one, the wise call it by many names.”

    Hodgkinson offer you a wry look inside the mirrored palaces of high culture.Read this book and you'll never again mistake Hegel for Engels, you'll know when precisely to drop Foucault's name into a conversation and how to pronounce "Borgesian," and you'll learn many more essential pointers for the intellectual life.

    Julia Diggins masterfully recreates the atmosphere of ancient times, when men, using three simple tools, the string, the straightedge, and the shadow, discovered the basic principles and constructions of elementary geometry. Her book reveals how these discoveries related to the early civilizations of Mesopotamia, Egypt, and Greece.The fabric of the story is woven out of archeological and historical records and legends about the major men of mathematics. By reconstructing the events as they might have happened, Diggins enables the attentive reader to easily follow the pattern of reasoning that leads to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, and the construction of the five regular solids.Out of print for 34 years, Julia Diggins' classic book is back and is a must-read for middle school students or for parents helping their children through their first geometry course. You will be fascinated with the graphic illustrations and written depiction of how the knowledge and wisdom of so many cultures helped shape our civilization today. This book is popular with teachers and parents who use Jamie York's Making Math Meaningful curriculum books.

    According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe.Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.

    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

    This unique collection of classic and modern problems and paradoxes is guaranteed to test your preconceptions. Jeremy Stangroom creates contemporary versions of famous dilemmas that explore the morality of suicide and the ethics of retribution. He then delves into the background of each conundrum in detail and helps you discover what your responses reveal about yourself with a unique morality barometer. Are you ready to have your best ideas confronted and your ethical foundations shaken? If so, then Would You Eat Your Cat? is the book for you.

    This essay by Copernicus (1473-1543), revolutionized the way we look at the earth's placement in the universe, and paved the way for many great scientists, including Galileo and Isaac Newton, whose theories stemmed from this model. Featuring a biography of Copernicus and an accessible, enlightening introduction, both written by the renowned physicist Stephen Hawking, On the Revolution of Heavenly Spheres provides a fascinating look at the theories which shaped our modern understanding of astronomy and physics.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square [sic – ed.], a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status.Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensions—a revolutionary idea for which he is returned to his two-dimensional world. Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. "Instructive, entertaining, and stimulating to the imagination." — Mathematics Teacher.

    This behavior is very much different from what we humans are used to dealing with in our everyday lives, so naturally this subject is quite hard to comprehend for many. We believed that the best way to introduce the subject reliably is to start at the beginning, presenting the observations, thoughts and conclusions of each of the world’s greatest physicists through their eyes, one at a time. In this way we hope that the reader may take an enjoyable journey through the strange truths of quantum theory and understand why the conclusions of these great minds are what they are. This book starts with the most general view of the world and gradually leads readers to those new, unbelievable but real facts about the very nature of our universe.

    It features writings from some of America's leading philosophers, including Martha Nussbaum, Charles Taliaferro, and J.P. Moreland. A first-of-its-kind collection of essays exploring those gems of philosophical wisdom runners contemplate when out for a run Topics considered include running and the philosophy of friendship; the freedom of the long distance runner; running as aesthetic experience, and "Could a Zombie Run a Marathon?" Contributing essayists include philosophers with athletic experience at the collegiate level, philosophers whose pasttime is running, and one philosopher who began running to test the ideas in his essay

    It is how China and India began to embrace neoliberal ideas of economics and attributed a sense of dignity and liberty to the bourgeoisie they had denied for so long. The result was an explosion in economic growth and proof that economic change depends less on foreign trade, investment, or material causes, and a whole lot more on ideas and what people believe.Or so says Deirdre N. McCloskey in Bourgeois Dignity, a fiercely contrarian history that wages a similar argument about economics in the West. Here she turns her attention to seventeenth- and eighteenth-century Europe to reconsider the birth of the industrial revolution and the rise of capitalism. According to McCloskey, our modern world was not the product of new markets and innovations, but rather the result of shifting opinions about them. During this time, talk of private property, commerce, and even the bourgeoisie itself radically altered, becoming far more approving and flying in the face of prejudices several millennia old. The wealth of nations, then, didn’t grow so dramatically because of economic factors: it grew because rhetoric about markets and free enterprise finally became enthusiastic and encouraging of their inherent dignity.An utterly fascinating sequel to her critically acclaimed book The Bourgeois Virtues, Bourgeois Dignity is a feast of intellectual riches from one of our most spirited and ambitious historians—a work that will forever change our understanding of how the power of persuasion shapes our economic lives.

    Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?Table of ContentsPreface 1 What Is Reality? Not What It Seems • What’s the Ultimate Question? • The Journey Begins Part One: Zooming Out 2 Our Place in Space Cosmic Questions • How Big Is Space? • The Size of Earth • Distance to the Moon • Distance to the Sun and the Planets • Distance to the Stars • Distance to the Galaxies • What Is Space? 3 Our Place in TimeWhere Did Our Solar System Come From? • Where Did theGalaxies Come From? • Where Did the Mysterious MicrowavesCome From? • Where Did the Atoms Come From? 4 Our Universe by NumbersWanted: Precision Cosmology • Precision Microwave-Background Fluctuations • Precision Galaxy Clustering • The Ultimate Map of Our Universe • Where Did Our Big Bang Come From? 5 Our Cosmic Origins What’s Wrong with Our Big Bang? • How Inflation Works • The Gift That Keeps on Giving • Eternal Inflation 6 Welcome to the Multiverse The Level I Multiverse • The Level II Multiverse • Multiverse Halftime Roundup Part Two: Zooming In 7 Cosmic Legos Atomic Legos • Nuclear Legos • Particle-Physics Legos • Mathematical Legos • Photon Legos • Above the Law? • Quanta and Rainbows • Making Waves • Quantum Weirdness • The Collapse of Consensus • The Weirdness Can’t Be Confined • Quantum Confusion 8 The Level III Multiverse The Level III Multiverse • The Illusion of Randomness • Quantum Censorship • The Joys of Getting Scooped • Why Your Brain Isn’t a Quantum Computer • Subject, Object and Environment • Quantum Suicide • Quantum Immortality? • Multiverses Unified • Shifting Views: Many Worlds or Many Words? Part Three: Stepping Back 9 Internal Reality, External Reality and Consensus Reality External Reality and Internal Reality • The Truth, the Whole Truth and Nothing but the Truth • Consensus Reality • Physics: Linking External to Consensus Reality 10 Physical Reality and Mathematical Reality Math, Math Everywhere! • The Mathematical Universe Hypothesis • What Is a Mathematical Structure? 11 Is Time an Illusion? How Can Physical Reality Be Mathematical? • What Are You? • Where Are You? (And What Do You Perceive?) • When Are You? 12 The Level IV Multiverse Why I Believe in the Level IV Multiverse • Exploring the Level IV Multiverse: What’s Out There? • Implications of the Level IV Multiverse • Are We Living in a Simulation? • Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse 13 Life, Our Universe and Everything How Big Is Our Physical Reality? • The Future of Physics • The Future of Our Universe—How Will It End? • The Future of Life •The Future of You—Are You Insignificant? Acknowledgments Suggestions for Further Reading Index