joyfully shows you how to make nature's numbers dance."--Bill Nye (the science guy)The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the "mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math fan and math-phobic alike."A positively joyful exploration of mathematics."-Publishers Weekly, starred review"Each [trick] is more dazzling than the last."-Physics World

    Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world.

    This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set- theoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here. Scholarly bibliographical credits and references are out of place in a purely expository book such as this one. The student who gets interested in set theory for its own sake should know, however, that there is much more to the subject than there is in this book. One of the most beautiful sources of set-theoretic wisdom is still Hausdorff's Set theory. A recent and highly readable addition to the literature, with an extensive and up-to-date bibliography, is Axiomatic set theory by Suppes.

    It far surpasses any previous explanation of Relativity for laypersons.

    Philosophers, artists and poets have long explored its meaning while scientists have found that its structure is different from the simple intuition we have of it. From Boltzmann to quantum theory, from Einstein to loop quantum gravity, our understanding of time has been undergoing radical transformations. Time flows at different speeds in different places, the past and the future differ far less than we might think and the very notion of the present evaporates in the vast universe. With his extraordinary charm and sense of wonder, bringing together science, philosophy and art, Carlo Rovelli unravels this mystery, inviting us to imagine a world where time is in us and we are not in time.

    Architectural marvels, including the M.C. Escher-like stepwells in India. Mind-boggling events, like the Baby Jumping Festival in Spain, where men dressed as devils literally vault over rows of squirming infants. Not to mention the Great Stalacpipe Organ in Virginia, Turkmenistan’s 45-year hole of fire called the Door of Hell, coffins hanging off a side of a cliff in the Philippines, eccentric bone museums in Italy, or a weather-forecasting invention that was powered by leeches, still on display in Devon, England.Atlas Obscura revels in the weird, the unexpected, the overlooked, the hidden, and the mysterious. Every page expands our sense of how strange and marvelous the world really is. And with its compelling descriptions, hundreds of photographs, surprising charts, maps for every region of the world, it is a book you can open anywhere.

    Science in the Soul brings together forty-two essays, polemics, and paeans--all written with Dawkins's characteristic erudition, remorseless wit, and unjaded awe of the natural world.Though it spans three decades, this book couldn't be more timely or more urgent. Elected officials have opened the floodgates to prejudices that have for half a century been unacceptable or at least undercover. In a passionate introduction, Dawkins calls on us to insist that reason take center stage and that gut feelings, even when they don't represent the stirred dark waters of xenophobia, misogyny, or other blind prejudice, should stay out of the voting booth. And in the essays themselves, newly annotated by the author, he investigates a number of issues, including the importance of empirical evidence, and decries bad science, religion in the schools, and climate-change deniers.Dawkins has equal ardor for "the sacred truth of nature" and renders here with typical virtuosity the glories and complexities of the natural world. Woven into an exploration of the vastness of geological time, for instance, is the peculiar history of the giant tortoises and the sea turtles--whose journeys between water and land tell us a deeper story about evolution. At this moment, when so many highly placed people still question the fact of evolution, Dawkins asks what Darwin would make of his own legacy--"a mixture of exhilaration and exasperation"--and celebrates science as possessing many of religion's virtues--"explanation, consolation, and uplift"--without its detriments of superstition and prejudice.In a world grown irrational and hostile to facts, Science in the Soul is an essential collection by an indispensable author.Praise for Science in the Soul"Compelling . . . rendered in gloriously spiky and opinionated prose . . . [Dawkins is] one of the great science popularizers of the last half-century."--The Christian Science Monitor "Dawkins is a ferocious polemicist, a defender of reason and enemy of superstition."--John Horgan, Scientific American

    Astronomy 101 cuts out the boring details and lengthy explanations, and instead, gives you a lesson in astronomy that keeps you engaged as you discover what's hidden beyond our starry sky. From the Big Bang and nebulae to the Milky Way and Sir Isaac Newton, this celestial primer is packed with hundreds of entertaining astronomy facts, charts, and photographs you won't be able to get anywhere else. So whether you’re looking to unravel the mystery behind black holes, or just want to learn more about your favorite planets, Astronomy 101 has all the answers—even the ones you didn’t know you were looking for.

    The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

    Maybe it's made of silicon! Maybe it has wheels! Or maybe it doesn't. In The Equations of Life, biologist Charles S. Cockell makes the forceful argument that the laws of physics narrowly constrain how life can evolve, making evolution's outcomes predictable. If we were to find on a distant planet something very much like a lady bug eating something like an aphid, we shouldn't be surprised. The forms of life are guided by a limited set of rules, and as a result, there is a narrow set of solutions to the challenges of existence.A remarkable scientific contribution breathing new life into Darwin's theory of evolution, The Equations of Life makes a radical argument about what life can -- and can't -- be.

    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

    Includes a poster of Theodore Gray's iconic photographic periodic table of the elements! Based on seven years of research and photography by Theodore Gray and Nick Mann, The Elements presents the most complete and visually arresting representation available to the naked eye of every atom in the universe. Organized sequentially by atomic number, every element is represented by a big beautiful photograph that most closely represents it in its purest form. Several additional photographs show each element in slightly altered forms or as used in various practical ways. Also included are fascinating stories of the elements, as well as data on the properties of each, including atomic number, atomic symbol, atomic weight, density, atomic radius, as well as scales for electron filling order, state of matter, and an atomic emission spectrum. This of solid science and stunning artistic photographs is the perfect gift book for every sentient creature in the universe.

    Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    The result is a wealth of stimulating ideas set among clear explanations drawn from a revelatory decade in biology."—Andrew H. Knoll, author of Life on a Young Planet"Thought-provoking and lucidly written. . . . The Plausibility of Life will help readers understand not just the plausibility of evolution, but its remarkable, inventive powers." —Sean Carroll, author of Endless Forms Most Beautiful: The New Science of Evo Devo“Remarkably lucid and comprehensive, this new theoretical synthesis will . . . shift the grounds for debate in the controversy surrounding organic evolution.”—Booklist (starred review)

    Frances E. Jensen, a mother, teacher, researcher, and internationally known expert in neurology, introduces us to the mystery and magic of the teen brain. One of the first books to focus exclusively on the neurological development of adolescents, The Teenage Brain presents new findings, dispels widespread myths, and provides practical suggestions for negotiating this difficult and dynamic life stage for both adults and adolescents.Interweaving easy-to-follow scientific data with anecdotes drawn from her experiences as a parent, clinician, and public speaker, Dr. Jensen explores adolescent brain functioning and development, including learning and memory, and investigates the impact of influences such as drugs, multitasking, sleep, and stress. The Teenage Brain reveals how: Adolescents may not be as resilient to the effects of drugs as we previously thought. Occasional use of marijuana has been shown to cause lingering memory problems, and long-term use can affect later adulthood I.Q. Multi-tasking causes divided attention and can reduce learning ability. Emotionally stressful situations in adolescence can have permanent effects on mental health, and may lead to higher risk for certain neuropsychiatric disorders such as depression.Rigorous yet accessible, warm yet direct, The Teenage Brain sheds new light on young adults, and provides practical suggestions for how parents, schools, and even the legal system can better help them during this crucial period.