Gardner's array of absorbing puzzles and mind-twisting paradoxes opens mathematics up to the world at large, inspiring people to see past numbers and formulas and experience the application of mathematical principles to the mysterious world around them. With articles on topics ranging from simple algebra to the twisting surfaces of Mobius strips, from an endless game of Bulgarian solitaire to the unreachable dream of time travel, this volume comprises a substantial and definitive monument to Gardner's influence on mathematics, science, and culture.In its twelve sections, The Colossal Book of Math explores a wide range of areas, each startlingly illuminated by Gardner's incisive expertise. Beginning with seemingly simple topics, Gardner expertly guides us through complicated and wondrous worlds: by way of basic algebra we contemplate the mesmerizing, often hilarious, linguistic and numerical possibilities of palindromes; using simple geometry, he dissects the principles of symmetry upon which the renowned mathematical artist M. C. Escher constructs his unique, dizzying universe. Gardner, like few thinkers today, melds a rigorous scientific skepticism with a profound artistic and imaginative impulse. His stunning exploration of "The Church of the Fourth Dimension," for example, bridges the disparate worlds of religion and science by brilliantly imagining the spatial possibility of God's presence in the world as a fourth dimension, at once "everywhere and nowhere."With boundless wisdom and his trademark wit, Gardner allows the reader to further engage challenging topics like probability and game theory which have plagued clever gamblers, and famous mathematicians, for centuries. Whether debunking Pascal's wager with basic probability, making visual music with fractals, or uncoiling a "knotted doughnut" with introductory topology, Gardner continuously displays his fierce intelligence and gentle humor. His articles confront both the comfortingly mundane—"Generalized Ticktacktoe" and "Sprouts and Brussel Sprouts"—and the quakingly abstract—"Hexaflexagons," "Nothing," and "Everything." He navigates these staggeringly obscure topics with a deft intelligence and, with addendums and suggested reading lists, he informs these classic articles with new insight.Admired by scientists and mathematicians, writers and readers alike, Gardner's vast knowledge and burning curiosity reveal themselves on every page. The culmination of a lifelong devotion to the wonders of mathematics, The Colossal Book of Mathematics is the largest and most comprehensive math book ever assembled by Gardner and remains an indispensable volume for the amateur and expert alike.

    Just about everyone has at least heard of Albert Einstein's formulation of 1905, which came into the world as something of an afterthought. But far fewer can explain his insightful linkage of energy to mass. David Bodanis offers an easily grasped gloss on the equation. Mass, he writes, "is simply the ultimate type of condensed or concentrated energy," whereas energy "is what billows out as an alternate form of mass under the right circumstances." Just what those circumstances are occupies much of Bodanis's book, which pays homage to Einstein and, just as important, to predecessors such as Maxwell, Faraday, and Lavoisier, who are not as well known as Einstein today. Balancing writerly energy and scholarly weight, Bodanis offers a primer in modern physics and cosmology, explaining that the universe today is an expression of mass that will, in some vastly distant future, one day slide back to the energy side of the equation, replacing the "dominion of matter" with "a great stillness"--a vision that is at once lovely and profoundly frightening. Without sliding into easy psychobiography, Bodanis explores other circumstances as well; namely, Einstein's background and character, which combined with a sterling intelligence to afford him an idiosyncratic view of the way things work--a view that would change the world. --Gregory McNamee

    Building on the successful top-down approach of previous editions, this fourth edition continues with an early emphasis on application-layer paradigms and application programming interfaces, encouraging a hands-on experience with protocols and networking concepts.

    But natural selection has given us a suite of beneficial social features, including our capacity for love, friendship, cooperation, and learning. Beneath all of our inventions -- our tools, farms, machines, cities, nations -- we carry with us innate proclivities to make a good society.In Blueprint, Nicholas A. Christakis introduces the compelling idea that our genes affect not only our bodies and behaviors, but also the ways in which we make societies, ones that are surprisingly similar worldwide.With many vivid examples -- including diverse historical and contemporary cultures, communities formed in the wake of shipwrecks, commune dwellers seeking utopia, online groups thrown together by design or involving artificially intelligent bots, and even the tender and complex social arrangements of elephants and dolphins that so resemble our own -- Christakis shows that, despite a human history replete with violence, we cannot escape our social blueprint for goodness.In a world of increasing political and economic polarization, it's tempting to ignore the positive role of our evolutionary past. But by exploring the ancient roots of goodness in civilization, Blueprint shows that our genes have shaped societies for our welfare and that, in a feedback loop stretching back many thousands of years, societies are still shaping our genes today.

    Their discussion ranges from the history of the field's intellectual foundations to the most recent developments and applications.Reinforcement learning, one of the most active research areas in artificial intelligence, is a computational approach to learning whereby an agent tries to maximize the total amount of reward it receives when interacting with a complex, uncertain environment. In Reinforcement Learning, Richard Sutton and Andrew Barto provide a clear and simple account of the key ideas and algorithms of reinforcement learning. Their discussion ranges from the history of the field's intellectual foundations to the most recent developments and applications. The only necessary mathematical background is familiarity with elementary concepts of probability.The book is divided into three parts. Part I defines the reinforcement learning problem in terms of Markov decision processes. Part II provides basic solution methods: dynamic programming, Monte Carlo methods, and temporal-difference learning. Part III presents a unified view of the solution methods and incorporates artificial neural networks, eligibility traces, and planning; the two final chapters present case studies and consider the future of reinforcement learning.

    Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.

    His theories on the evolutionary tensions between parent and offspring, sibling and sibling, man and woman, friend and friend, and a person and himself or herself have not only revolutionized genetics and evolutionary biology but have influenced disciplines from medicine and the social sciences to history, economics, and literary studies. But unlike other renowned scientists, Trivers has spent time behind bars, drove a getaway car for Huey P. Newton, and founded an armed group in Jamaica to protect gay men from mob violence. Now, in the entertaining tradition of Surely You're Joking Mr. Feynman, Trivers tell us in his inimitable voice about the inimitable life behind the revolutionary science. He comments with irreverent wit and penetrating insight on everything from American racism to the history of psychiatry to who killed Peter Tosh, musical heir to Bob Marley. Sprinkled with anecdotes about such luminaries as Richard Dawkins and Stephen Jay Gould, and with photographs throughout, this volume is sure to enlighten and entertain anyone with an interest in science, the human condition, or the nature of creative genius. PRAISE FOR WILD LIFE"To call Robert Trivers an acclaimed biologist is an understatement akin to calling the late Richard Feynman a popular professor of physics." -- PSYCHOLOGY TODAY"Who would have guessed that arguably today’s most original thinker in evolutionary theory could possibly have led the extraordinary life Robert Trivers recounts in these pages. We are taken on a wild trip from inspired meditations on the biology of self deception, through a steamy Jamaican underworld, to Black Panthers in California, to frank appraisals of distinguished or over-rated scientists, the whole adding up to a disarmingly frank and utterly unique memoir of a rollercoaster of a life. -- RICHARD DAWKINS, bestselling author of The Selfish Gene and The God Delusion“Robert Trivers is not just a brilliant evolutionary thinker but a world-class raconteur, adventurer, kibitzer, people-watcher, jester, and provocateur. This memoir is filled with sharp and hilarious observations about the living world, not least a certain species of hairless primate, not least a certain member of that species named Robert Trivers.” – STEVEN PINKER,best-selling author of How the Mind Works and The Better Angels of Our Nature: Why Violence Has Declined“It would not be hyperbole to say that Robert Trivers is one of the most important evolutionary theorists since Charles Darwin. But contrary to the image most people have of theoretical scientists as stodgy intellectuals holed up in their offices buried in paper, Trivers' memoir reveals a man whose life has been wild in every sense of the word. A lust for life doesn’t begin to sum up a career devoted to truth, courage, and the audacity to think what no one else has thought, and to act in ways few others would dare (you’ll even learn how to defend yourself in a knife fight). If that were not enough, Trivers is witty, clever, and compassionate. This book is destined to become a classic in scientific autobiography." -- MICHAEL SHERMER, Editor in Chief, The SkepticABOUT THE AUTHORRobert Trivers is a professor of anthropology and biological sciences at Rutgers University.

    Dennett, whom Chet Raymo of The Boston Globe calls "one of the most provocative thinkers on the planet," focuses his unerringly logical mind on the theory of natural selection, showing how Darwin's great idea transforms and illuminates our traditional view of humanity's place in the universe. Dennett vividly describes the theory itself and then extends Darwin's vision with impeccable arguments to their often surprising conclusions, challenging the views of some of the most famous scientists of our day.

    

    He begins with Copernicus, during the Renaissance, when science replaced mysticism as a means of explaining the workings of the world, and he continues through the centuries, creating an unbroken genealogy of not only the greatest but also the more obscure names of Western science, a dot-to-dot line linking amateur to genius, and accidental discovery to brilliant deduction.By focusing on the scientists themselves, Gribbin has written an anecdotal narrative enlivened with stories of personal drama, success and failure. A bestselling science writer with an international reputation, Gribbin is among the few authors who could even attempt a work of this magnitude. Praised as “a sequence of witty, information-packed tales” and “a terrifi c read” by The Times upon its recent British publication, The Scientists breathes new life into such venerable icons as Galileo, Isaac Newton, Albert Einstein and Linus Pauling, as well as lesser lights whose stories have been undeservedly neglected. Filled with pioneers, visionaries, eccentrics and madmen, this is the history of science as it has never been told before.From the Hardcover edition.

    [4] of cover.

    Could such an apparently impotent and mindless force really have built the sophisticated molecular devices found throughout nature? The answer, he insists, is no. The only common-sense explanation is intelligent design

    Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality -- the study of cause and effect -- on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.

    With a focus on the big picture of human evolution, the text helps students master the basic principles of the subject and arrive at an understanding of the human species and its place in the biological world. This book continues to keep pace with changes in the field by including thorough coverage of cutting-edge advances in molecular biology and genomics, expanded material on modern human biology, and the latest in new fossil finds.

    Each chapter will review key terms, test for understanding basic concepts, and pose research-based problems. The Problems Book has been designed to correspond with the first twenty chapters of Molecular Biology of the Cell, Fifth Edition.Includes the solutions to the end-of-chapter problems in the textbook Molecular Biology of the Cell, Fifth Edition. Contains over 2,000 problems and their solutions. All of the solutions to the problems in The Problems Book are on the CD-ROM that is packaged with every copy of the book. The problems are organized into the following categories: Terms to Learn, Definitions, True/False, Thought Problems, Calculations, and Data Handling.The Problems Book will be useful for homework assignments and as a basis for class discussion. It could even provide inspiration for exam questions.