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In the fall of 1933 the newly founded Institute for Advanced Study in Princeton, New Jersey, welcomed its first faculty member, Albert Einstein. With this superstar on the roster, the Institute was able to attract many more of the greatest scholars, scientists, and poets from around the world. It was to be an intellectual haven, a place where the most brilliant minds on the planet, sheltered from the outside worldâ€™s cares and calamities, could study and collaborate and devote their time to the pure and exclusive pursuit of knowledge. For many of them, it was the â€œone, true, platonic heaven.â€

Over the years, key figures at the Institute began to question the limits to what science could tell us about the world, pondering the universal secrets it might unlock. Could science be the ultimate source of truth; or are there intrinsic limits, built into the very fabric of the universe, to what we can learn? In the late 1940â€™s and early 1950â€™s, this important question was being asked and pondered upon by some of the Instituteâ€™s deepest thinkers.

Enter the dramatis personae to illuminate the science and the philosophy of the time. Mathematical logician Kurt Godel was the unacknowledged Grant Exalted Ruler of this platonic estate â€" but he was a ruler without a scepter as he awaited the inexplicably indefinite postponement of his promotion to full, tenured professor. Also in residence was his colleague, the Hungarian-American polymath, John van Neumann, developer of game theory, the axiomatic foundations of quantum mechanics, and the digital computer â€" stymied by the Instituteâ€™s refusal to sanction his bold proposal to actually build a computer. One of Godelâ€™s closest friends figures large in this story: Albert Einstein, by common consensus the greatest physicist the 20th century had ever known. And, of course, the director the Institute, J. Robert Oppenheimer, the father of the atomic bomb, must by necessity be key to any story that focuses in on this time and place.

Author Casti elegantly sets the stage and then masterfully directs this impressive cast of charactersâ€"with able assists by many â€œminor-characterâ€ icons like T. S. Eliot, Wolfgang Pauli, Freeman Dyson, and David Bohm, to tell a story of science, history, and ideas. As we watch events unfold (some of which are documented fact while others are creatively imagined fiction), we are witness to the discussions and deliberations of this august groupâ€¦ privy to wide-ranging conversations on thinking machines, quantum logic, biology as physics, weather forecasting, the structure of economic systems, the distinction between mathematics and natural science, the structure of the universe, and the powers of the human mind â€" all centered around the question of the limits to scientific knowledge.

Imaginatively conceived and artfully executed, The One True Platonic Heaven is an accessible and intriguing presentation of some of the deepest scientific and philosophical ideas of the 20th century.

The official book behind the Academy Award-winning film The Imitation Game, starring Benedict Cumberbatch and Keira Knightley

It is only a slight exaggeration to say that the British mathematician Alan Turing (1912-1954) saved the Allies from the Nazis, invented the computer and artificial intelligence, and anticipated gay liberation by decades--all before his suicide at age forty-one. This New York Times–bestselling biography of the founder of computer science, with a new preface by the author that addresses Turing's royal pardon in 2013, is the definitive account of an extraordinary mind and life.

Capturing both the inner and outer drama of Turing’s life, Andrew Hodges tells how Turing’s revolutionary idea of 1936--the concept of a universal machine--laid the foundation for the modern computer and how Turing brought the idea to practical realization in 1945 with his electronic design. The book also tells how this work was directly related to Turing’s leading role in breaking the German Enigma ciphers during World War II, a scientific triumph that was critical to Allied victory in the Atlantic. At the same time, this is the tragic account of a man who, despite his wartime service, was eventually arrested, stripped of his security clearance, and forced to undergo a humiliating treatment program--all for trying to live honestly in a society that defined homosexuality as a crime.

The inspiration for a major motion picture starring Benedict Cumberbatch and Keira Knightley, Alan Turing: The Enigma is a gripping story of mathematics, computers, cryptography, and homosexual persecution.

“Artfully envisions a breathtakingly better world.” —Los Angeles Times

“Elaborate, smart and persuasive.” —The Boston Globe

“A pleasure to read.” —The Wall Street Journal

One of CBS News’s Best Fall Books of 2005 • Among St Louis Post-Dispatch’s Best Nonfiction Books of 2005 • One of Amazon.com’s Best Science Books of 2005

A radical and optimistic view of the future course of human development from the bestselling author of How to Create a Mind and The Age of Spiritual Machines who Bill Gates calls “the best person I know at predicting the future of artificial intelligence”

For over three decades, Ray Kurzweil has been one of the most respected and provocative advocates of the role of technology in our future. In his classic The Age of Spiritual Machines, he argued that computers would soon rival the full range of human intelligence at its best. Now he examines the next step in this inexorable evolutionary process: the union of human and machine, in which the knowledge and skills embedded in our brains will be combined with the vastly greater capacity, speed, and knowledge-sharing ability of our creations.

From the Trade Paperback edition.

For centuries, scientific thought was focused on bringing order to the natural world. But even as relativity and quantum mechanics undermined that rigid certainty in the first half of the twentieth century, the scientific community clung to the idea that any system, no matter how complex, could be reduced to a simple pattern. In the 1960s, a small group of radical thinkers began to take that notion apart, placing new importance on the tiny experimental irregularities that scientists had long learned to ignore. Miniscule differences in data, they said, would eventually produce massive ones—and complex systems like the weather, economics, and human behavior suddenly became clearer and more beautiful than they had ever been before.In this seminal work of scientific writing, James Gleick lays out a cutting edge field of science with enough grace and precision that any reader will be able to grasp the science behind the beautiful complexity of the world around us. With more than a million copies sold, Chaos is “a groundbreaking book about what seems to be the future of physics” by a writer who has been a finalist for both the Pulitzer Prize and the National Book Award, the author of Time Travel: A History and Genius: The Life and Science of Richard Feynman (Publishers Weekly).

The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.

Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer?

How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.

Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

Ray Kurzweil is arguably today’s most influential—and often controversial—futurist. In How to Create a Mind, Kurzweil presents a provocative exploration of the most important project in human-machine civilization—reverse engineering the brain to understand precisely how it works and using that knowledge to create even more intelligent machines.

Kurzweil discusses how the brain functions, how the mind emerges from the brain, and the implications of vastly increasing the powers of our intelligence in addressing the world’s problems. He thoughtfully examines emotional and moral intelligence and the origins of consciousness and envisions the radical possibilities of our merging with the intelligent technology we are creating.

Certain to be one of the most widely discussed and debated science books of the year, How to Create a Mind is sure to take its place alongside Kurzweil’s previous classics which include Fantastic Voyage: Live Long Enough to Live Forever and The Age of Spiritual Machines.

From the Hardcover edition.

Environmental damage, climate change, globalization, rapid population growth, and unwise political choices were all factors in the demise of societies around the world, but some found solutions and persisted. As in Guns, Germs, and Steel, Diamond traces the fundamental pattern of catastrophe, and weaves an all-encompassing global thesis through a series of fascinating historical-cultural narratives. Collapse moves from the Polynesian cultures on Easter Island to the flourishing American civilizations of the Anasazi and the Maya and finally to the doomed Viking colony on Greenland. Similar problems face us today and have already brought disaster to Rwanda and Haiti, even as China and Australia are trying to cope in innovative ways. Despite our own society’s apparently inexhaustible wealth and unrivaled political power, ominous warning signs have begun to emerge even in ecologically robust areas like Montana.

Brilliant, illuminating, and immensely absorbing, Collapse is destined to take its place as one of the essential books of our time, raising the urgent question: How can our world best avoid committing ecological suicide?

From the Trade Paperback edition.

A New York Times Notable Book.

The Babylonians invented it, the Greeks banned it, the Hindus worshiped it, and the Church used it to fend off heretics. Now it threatens the foundations of modern physics. For centuries the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. For zero, infinity's twin, is not like other numbers. It is both nothing and everything.

In Zero, Science Journalist Charles Seife follows this innocent-looking number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe, its rise and transcendence in the West, and its ever-present threat to modern physics. Here are the legendary thinkers—from Pythagoras to Newton to Heisenberg, from the Kabalists to today's astrophysicists—who have tried to understand it and whose clashes shook the foundations of philosophy, science, mathematics, and religion. Zero has pitted East against West and faith against reason, and its intransigence persists in the dark core of a black hole and the brilliant flash of the Big Bang. Today, zero lies at the heart of one of the biggest scientific controversies of all time: the quest for a theory of everything.

In his provocative book, George Friedman turns his eye on the future—offering a lucid, highly readable forecast of the changes we can expect around the world during the twenty-first century. He explains where and why future wars will erupt (and how they will be fought), which nations will gain and lose economic and political power, and how new technologies and cultural trends will alter the way we live in the new century.

The Next 100 Years draws on a fascinating exploration of history and geopolitical patterns dating back hundreds of years. Friedman shows that we are now, for the first time in half a millennium, at the dawn of a new era—with changes in store, including:

• The U.S.-Jihadist war will conclude—replaced by a second full-blown cold war with Russia.

• China will undergo a major extended internal crisis, and Mexico will emerge as an important world power.

• A new global war will unfold toward the middle of the century between the United States and an unexpected coalition from Eastern Europe, Eurasia, and the Far East; but armies will be much smaller and wars will be less deadly.

• Technology will focus on space—both for major military uses and for a dramatic new energy resource that will have radical environmental implications.

• The United States will experience a Golden Age in the second half of the century.

Written with the keen insight and thoughtful analysis that has made George Friedman a renowned expert in geopolitics and forecasting, The Next 100 Years presents a fascinating picture of what lies ahead.

For continual, updated analysis and supplemental material, go to www.Stratfor.com

Thinking in Systems, is a concise and crucial book offering insight for problem solving on scales ranging from the personal to the global. Edited by the Sustainability Institute’s Diana Wright, this essential primer brings systems thinking out of the realm of computers and equations and into the tangible world, showing readers how to develop the systems-thinking skills that thought leaders across the globe consider critical for 21st-century life.

Some of the biggest problems facing the world—war, hunger, poverty, and environmental degradation—are essentially system failures. They cannot be solved by fixing one piece in isolation from the others, because even seemingly minor details have enormous power to undermine the best efforts of too-narrow thinking.

While readers will learn the conceptual tools and methods of systems thinking, the heart of the book is grander than methodology. Donella Meadows was known as much for nurturing positive outcomes as she was for delving into the science behind global dilemmas. She reminds readers to pay attention to what is important, not just what is quantifiable, to stay humble, and to stay a learner.

In a world growing ever more complicated, crowded, and interdependent, Thinking in Systems helps readers avoid confusion and helplessness, the first step toward finding proactive and effective solutions.

Yuval Noah Harari, author of the critically-acclaimed New York Times bestseller and international phenomenon Sapiens, returns with an equally original, compelling, and provocative book, turning his focus toward humanity’s future, and our quest to upgrade humans into gods.

Over the past century humankind has managed to do the impossible and rein in famine, plague, and war. This may seem hard to accept, but, as Harari explains in his trademark style—thorough, yet riveting—famine, plague and war have been transformed from incomprehensible and uncontrollable forces of nature into manageable challenges. For the first time ever, more people die from eating too much than from eating too little; more people die from old age than from infectious diseases; and more people commit suicide than are killed by soldiers, terrorists and criminals put together. The average American is a thousand times more likely to die from binging at McDonalds than from being blown up by Al Qaeda.

What then will replace famine, plague, and war at the top of the human agenda? As the self-made gods of planet earth, what destinies will we set ourselves, and which quests will we undertake? Homo Deus explores the projects, dreams and nightmares that will shape the twenty-first century—from overcoming death to creating artificial life. It asks the fundamental questions: Where do we go from here? And how will we protect this fragile world from our own destructive powers? This is the next stage of evolution. This is Homo Deus.

With the same insight and clarity that made Sapiens an international hit and a New York Times bestseller, Harari maps out our future.

This story is at the same time a historical novel and an accessible explication of some of the biggest ideas of mathematics and modern philosophy. With rich characterizations and expressive, atmospheric artwork, the book spins the pursuit of these ideas into a highly satisfying tale.

Probing and ingeniously layered, the book throws light on Russell's inner struggles while setting them in the context of the timeless questions he spent his life trying to answer. At its heart, Logicomix is a story about the conflict between an ideal rationality and the unchanging, flawed fabric of reality.

An Economist Best Book of 2015

"The most important book on decision making since Daniel Kahneman's Thinking, Fast and Slow."

—Jason Zweig, The Wall Street Journal

Everyone would benefit from seeing further into the future, whether buying stocks, crafting policy, launching a new product, or simply planning the week’s meals. Unfortunately, people tend to be terrible forecasters. As Wharton professor Philip Tetlock showed in a landmark 2005 study, even experts’ predictions are only slightly better than chance. However, an important and underreported conclusion of that study was that some experts do have real foresight, and Tetlock has spent the past decade trying to figure out why. What makes some people so good? And can this talent be taught?

In Superforecasting, Tetlock and coauthor Dan Gardner offer a masterwork on prediction, drawing on decades of research and the results of a massive, government-funded forecasting tournament. The Good Judgment Project involves tens of thousands of ordinary people—including a Brooklyn filmmaker, a retired pipe installer, and a former ballroom dancer—who set out to forecast global events. Some of the volunteers have turned out to be astonishingly good. They’ve beaten other benchmarks, competitors, and prediction markets. They’ve even beaten the collective judgment of intelligence analysts with access to classified information. They are "superforecasters."

In this groundbreaking and accessible book, Tetlock and Gardner show us how we can learn from this elite group. Weaving together stories of forecasting successes (the raid on Osama bin Laden’s compound) and failures (the Bay of Pigs) and interviews with a range of high-level decision makers, from David Petraeus to Robert Rubin, they show that good forecasting doesn’t require powerful computers or arcane methods. It involves gathering evidence from a variety of sources, thinking probabilistically, working in teams, keeping score, and being willing to admit error and change course.

Superforecasting offers the first demonstrably effective way to improve our ability to predict the future—whether in business, finance, politics, international affairs, or daily life—and is destined to become a modern classic.

WASHINGTON POST BESTSELLER

From the author of the international bestseller THE AGE OF THE UNTHINKABLE comes a powerful new story of revolution and riches in a connected age.

Endless terror. Refugee waves. An unfixable global economy. Surprising election results. New billion-dollar fortunes. Miracle medical advances. What if they were all connected? What if you could understand why? The Seventh Sense examines the historic force now shaking our world--and explains how our leaders, our businesses, and each of us can master it.

All around us now we are surrounded by events that are difficult to understand. But every day, new figures and forces emerge that seem to have mastered this tumultuous age. Sometimes these are the leaders of the most earthshaking companies of our time, accumulating billion-dollar fortunes. Or they are successful investors or our best generals. Other times, however, quick success is going to terrorists, rebels, and figures intent on chaos. What if we could know the secret of those who can make sense of this age? What if we could apply it to the questions that worry us most?

In this groundbreaking new book, Joshua Cooper Ramo, author of the international bestseller The Age of the Unthinkable, introduces a powerful way of seeing the world. The Seventh Sense is the story of what all of today's successful figures see and feel--forces that are invisible to most of us but explain everything from explosive technological change to uneasy political ripples. The secret to power now is understanding our new age of networks--not merely the Internet but also networks of trade and DNA and finance. Based on his years of advising generals, CEOs, and politicians, Ramo takes us into the opaque heart of our world's rapidly connected systems and teaches us what the victors of this age know--and what the losers are not yet seeing.

But The Seventh Sense won't merely change the way you see the world. It will also give you the power to change it.

For centuries, scientific thought was focused on bringing order to the natural world. But even as relativity and quantum mechanics undermined that rigid certainty in the first half of the twentieth century, the scientific community clung to the idea that any system, no matter how complex, could be reduced to a simple pattern. In the 1960s, a small group of radical thinkers began to take that notion apart, placing new importance on the tiny experimental irregularities that scientists had long learned to ignore. Miniscule differences in data, they said, would eventually produce massive ones—and complex systems like the weather, economics, and human behavior suddenly became clearer and more beautiful than they had ever been before.In this seminal work of scientific writing, James Gleick lays out a cutting edge field of science with enough grace and precision that any reader will be able to grasp the science behind the beautiful complexity of the world around us. With more than a million copies sold, Chaos is “a groundbreaking book about what seems to be the future of physics” by a writer who has been a finalist for both the Pulitzer Prize and the National Book Award, the author of Time Travel: A History and Genius: The Life and Science of Richard Feynman (Publishers Weekly).

Men of Mathematics provides a rich account of major mathematical milestones, from the geometry of the Greeks through Newton’s calculus, and on to the laws of probability, symbolic logic, and the fourth dimension. Bell breaks down this majestic history of ideas into a series of engrossing biographies of the great mathematicians who made progress possible—and who also led intriguing, complicated, and often surprisingly entertaining lives.

Never pedantic or dense, Bell writes with clarity and simplicity to distill great mathematical concepts into their most understandable forms for the curious everyday reader. Anyone with an interest in math may learn from these rich lessons, an advanced degree or extensive research is never necessary.

Benoit Mandelbrot, the creator of fractal geometry, has significantly improved our understanding of, among other things, financial variability and erratic physical phenomena. In The Fractalist, Mandelbrot recounts the high points of his life with exuberance and an eloquent fluency, deepening our understanding of the evolution of his extraordinary mind. We begin with his early years: born in Warsaw in 1924 to a Lithuanian Jewish family, Mandelbrot moved with his family to Paris in the 1930s, where he was mentored by an eminent mathematician uncle. During World War II, as he stayed barely one step ahead of the Nazis until France was liberated, he studied geometry on his own and dreamed of using it to solve fresh, real-world problems. We observe his unusually broad education in Europe, and later at Caltech, Princeton, and MIT. We learn about his thirty-five-year affiliation with IBM’s Thomas J. Watson Research Center and his association with Harvard and Yale. An outsider to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden laws governing utter roughness, turbulence, and chaos.

Here is a remarkable story of both the man’s life and his unparalleled contributions to science, mathematics, and the arts.

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 empowers you to see the beauty, simplicity, and truly magical properties behind those formulas and equations that once left your head spinning. You'll learn the key ideas of classic areas of mathematics like arithmetic, algebra, geometry, trigonometry, and calculus, but you'll also have fun fooling around with Fibonacci numbers, investigating infinity, and marveling over mathematical magic tricks that will make you look like a math genius!

A mathematician who is known throughout the world as the “mathemagician,” Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand. In The Magic of Math, Benjamin does more than just teach skills: with a tip of his magic hat, he takes you on as his apprentice to teach you how to appreciate math the way he does. He motivates you to learn something new about how to solve for x, because there is real pleasure to be found in the solution to a challenging problem or in using numbers to do something useful. But what he really wants you to do is be able to figure out why, for that's where you'll find the real beauty, power, and magic of math.

If you are already someone who likes math, this book will dazzle and amuse you. If you never particularly liked or understood math, Benjamin will enlighten you and—with a wave of his magic wand—turn you into a math lover.

Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others. For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others.

"The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.

Two of America's leading investigators of unexplained phenomena -- Art Bell, the top-rated late-night radio talk-show host, and Whitley Strieber, No. 1 New York Times bestselling author of Communion and the legendary Nature's End -- have made a shocking discovery based on years of research with top scientists and archaeologists from around the world. Now, they reveal what powerful interests are trying to keep hidden: rapid changes in the atmosphere caused by greenhouse gases have set humanity on an incredibly dangerous course toward a catastrophic change in climate in the immediate future. It will begin with a massive, unprecedented storm that will devastate the Northern Hemisphere. This will be followed by floods unlike anything ever seen before -- or perhaps a new Ice Age. They also unearth evidence that this has happened in the past -- in fact, that it has occurred regularly throughout geologic history, but so infrequently that our only record of the last such storm is contained in ancient myths and flood legends.

From El Niño to the African droughts, to the shrinking of the polar ice caps, Bell and Strieber identify the warning signs to those willing to see. They point out that the Earth's regulatory system is like a rubber band: you can stretch it just so far before it snaps back -- with a vengeance. Since 1995, each successive year has set new records for violent weather. In 1999 a major climatological study predicted that the Earth will soon be warmer than it has been in millions of years. Bell and Strieber tell us why they believe a rebound is imminent -- a rapid and violent cooling that will cover the Northern Hemisphere in a sheath of choking ice and snow.

But it's not too late to reverse our destiny. No mere harbinger of an inevitable doomsday, The Coming Global Superstorm is instead a spirited call to action that offers a wealth of viable solutions to this mammoth challenge to humankind. Through a careful and impressively researched dissection of the myths and legends of ancient cultures and an insightful examination of the best of modern environmental science, Bell and Strieber guide us on an intellectual journey as dark as the murky origins of man and as bright as the promise of an interstellar future.

The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.

In his bestselling book The World Without Us, Alan Weisman considered how the Earth could heal and even refill empty niches if relieved of humanity's constant pressures. Behind that groundbreaking thought experiment was his hope that we would be inspired to find a way to add humans back to this vision of a restored, healthy planet-only in harmony, not mortal combat, with the rest of nature.

But with a million more of us every 4 1/2 days on a planet that's not getting any bigger, and with our exhaust overheating the atmosphere and altering the chemistry of the oceans, prospects for a sustainable human future seem ever more in doubt. For this long awaited follow-up book, Weisman traveled to more than 20 countries to ask what experts agreed were probably the most important questions on Earth--and also the hardest: How many humans can the planet hold without capsizing? How robust must the Earth's ecosystem be to assure our continued existence? Can we know which other species are essential to our survival? And, how might we actually arrive at a stable, optimum population, and design an economy to allow genuine prosperity without endless growth?

Weisman visits an extraordinary range of the world's cultures, religions, nationalities, tribes, and political systems to learn what in their beliefs, histories, liturgies, or current circumstances might suggest that sometimes it's in their own best interest to limit their growth. The result is a landmark work of reporting: devastating, urgent, and, ultimately, deeply hopeful.

By vividly detailing the burgeoning effects of our cumulative presence, Countdown reveals what may be the fastest, most acceptable, practical, and affordable way of returning our planet and our presence on it to balance. Weisman again shows that he is one of the most provocative journalists at work today, with a book whose message is so compelling that it will change how we see our lives and our destiny.

Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.

An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

"Foundations of Futures Studies "fulfills Bell's five main purposes for writing this two-volume effort: (1) to show that futures studies, like other fields from anthropology to zoology, exists as an identifiable sphere of intellectual activity; (2) to create a teaching instrument that can be used as a basic text for core courses in futures studies; (3) to futurize the thinking of specialists in other disciplines; (4) to contribute to the further development and improvement of futures studies; and (5) to provide tools to empower both ordinary people and leaders to act in ways that create better futures for themselves and their societies. Bell maintains that despite its sometimes doomsday rhetorical style and widespread use by special interests, futures studies offers hope for the future of humanity and concrete ways of realizing that hope in the real world of our everyday lives. It will appeal to all interested in futures studies, as well as sociologists, economists, political scientists, and historians.

In response to the apparent dissolution of boundaries at work in the contemporary technosciences of emergence, neocybernetics observes that cognitive systems are operationally bounded, semi-autonomous entities coupled with their environments and other systems. Second-order systems theory stresses the recursive complexities of observation, mediation, and communication. Focused on the neocybernetic contributions of von Foerster, Francisco Varela, and Niklas Luhmann, this collection advances theoretical debates about the cultural, philosophical, and literary uses of their ideas. In addition to the interview with von Foerster, Emergence and Embodiment includes essays by Varela and Luhmann. It engages with Humberto Maturana’s and Varela’s creation of the concept of autopoiesis, Varela’s later work on neurophenomenology, and Luhmann’s adaptations of autopoiesis to social systems theory. Taken together, these essays illuminate the shared commitments uniting the broader discourse of neocybernetics.

Contributors. Linda Brigham, Bruce Clarke, Mark B. N. Hansen, Edgar Landgraf, Ira Livingston, Niklas Luhmann, Hans-Georg Moeller, John Protevi, Michael Schiltz, Evan Thompson, Francisco J. Varela, Cary Wolfe

Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations.

As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics.

Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself.

Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.

From epidemics of disease to outbreaks of market madness, from people searching for information to firms surviving crisis and change, from the structure of personal relationships to the technological and social choices of entire societies, Watts weaves together a network of discoveries across an array of disciplines to tell the story of an explosive new field of knowledge, the people who are building it, and his own peculiar path in forging this new science.

• Experiments in green energy like the HiPER, which uses massive lasers to create a tiny “contained” sun; it’s an idea that could save the world if it doesn’t consume us all in a fiery fusion reaction first.

• Global disasters like the hypercane—a hurricane so large it could cover all of North America and shoot trailer parks into space!

• Terrifying new developments in robotics like the EATR, which powers itself on meat—an invention in the running for “Worst Decision Made by Anybody.”

From the Trade Paperback edition.

So, where are we now? And what does our future look like? In the book 2052, Jorgen Randers, one of the coauthors of Limits to Growth, issues a progress report and makes a forecast for the next forty years. To do this, he asked dozens of experts to weigh in with their best predictions on how our economies, energy supplies, natural resources, climate, food, fisheries, militaries, political divisions, cities, psyches, and more will take shape in the coming decades. He then synthesized those scenarios into a global forecast of life as we will most likely know it in the years ahead.

The good news: we will see impressive advances in resource efficiency, and an increasing focus on human well-being rather than on per capita income growth. But this change might not come as we expect. Future growth in population and GDP, for instance, will be constrained in surprising ways-by rapid fertility decline as result of increased urbanization, productivity decline as a result of social unrest, and continuing poverty among the poorest 2 billion world citizens. Runaway global warming, too, is likely.

So, how do we prepare for the years ahead? With heart, fact, and wisdom, Randers guides us along a realistic path into the future and discusses what readers can do to ensure a better life for themselves and their children during the increasing turmoil of the next forty years.

For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs.

Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments.Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

On August 10, 1632, five men in flowing black robes convened in a somber Roman palazzo to pass judgment on a deceptively simple proposition: that a continuous line is composed of distinct and infinitely tiny parts. With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.

In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.

The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.

From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

But while the importance of the calculus and mathematical analysis ― the core of modern mathematics ― cannot be overemphasized, the value of this first comprehensive critical history of the calculus goes far beyond the subject matter. This book will fully counteract the impression of laymen, and of many mathematicians, that the great achievements of mathematics were formulated from the beginning in final form. It will give readers a sense of mathematics not as a technique, but as a habit of mind, and serve to bridge the gap between the sciences and the humanities. It will also make abundantly clear the modern understanding of mathematics by showing in detail how the concepts of the calculus gradually changed from the Greek view of the reality and immanence of mathematics to the revised concept of mathematical rigor developed by the great 19th century mathematicians, which held that any premises were valid so long as they were consistent with one another. It will make clear the ideas contributed by Zeno, Plato, Pythagoras, Eudoxus, the Arabic and Scholastic mathematicians, Newton, Leibnitz, Taylor, Descartes, Euler, Lagrange, Cantor, Weierstrass, and many others in the long passage from the Greek "method of exhaustion" and Zeno's paradoxes to the modern concept of the limit independent of sense experience; and illuminate not only the methods of mathematical discovery, but the foundations of mathematical thought as well.

"They [the chapters] tell an engrossing story, and the mystery heightens as it goes. . . . it's chatty and knowing." Greg Benford, Physicist and science-fiction writer, author of "Timescape" and "Deep Time"

"I am struck by how thought-provoking it all is. I am sure that your book will draw a lot of attention" Tor Norretranders, Science writer, author of "The Generous Man" and "The User Illusion".

The book also contains information on the government's involvement in the alien and UFO's cover-up.

The Earth is scheduled to transition to 4th Density spiritual. After the switch humans will find that all humans, whether they have graduated to a 4th Density spiritual plane or not, have moved. For some entities, they will recall living through the cataclysms and then later through a time when humans seemed more mentally connected and in touch with one another. Then, upon death, they will be moved to another 3rd Density world, with others who will share these memories. Back to 3rd Density, to continue their orientation lesson.

Just as living beings, such as the Zetas and humans, can be in different densities, coexisting in the same spot but being unaware of each other, so planets can and do so coexist. 4th Density planets are not as prevalent as planets in the root density, for obvious reasons. Planets are moved to 4th Density only to support life in 4th Density, and most planets do not have any life at all.This book was written in hopes of updating people's minds that we are all immortal spirits on a journey throughout this wonderful Universe God has created and that we are NOT alone! I hope you enjoy reading this book.

-Guy L. Tribble, Apple, Inc.

Tech luminary, Gordon Bell, and Jim Gemmell unveil a guide to the next digital revolution. Our daily life started becoming digital a decade ago. Now much of what we do is digitally recorded and accessible. This trend won't stop. And the benefits are astonishing.

Based on their own research Bell and Gemmell explain the ever- increasing access to electronic personal memories-both "cloud" services such as Facebook and huge personal hardrives. Using Bell as a test case, the two digitally uploaded everything-photos, computer activity, biometrics-and explored systems that could best store the vast amounts of data and make it accessible. The result? An amazing enhancement of human experience from health and education to productivity and just reminiscing about good times. And then, when you are gone, your memories, your life will still be accessible for your grandchildren...

Your Life, Uploaded is an invaluable guide to taking advantage of new technology that will fascinate and inspire techies, business people, and baby boomers alike.

The fuel systems on board modern aircraft are multi-functional, fully integrated complex networks. They are designed to provide a proper and reliable management of fuel resources throughout all phases of operation, notwithstanding changes in altitude or speed, as well as to monitor system functionality and advise the flight crew of any operational anomalies that may develop.

Collates together a wealth of information on fuel system design that is currently disseminated throughout the literature. Authored by leading industry experts from Airbus and Parker Aerospace. Includes chapters on basic system functions, features and functions unique to military aircraft, fuel handling, fuel quantity gauging and management, fuel systems safety and fuel systems design and development. Accompanied by a companion website housing a MATLAB/SIMULINK model of a modern aircraft fuel system that allows the user to set up flight conditions, investigate the effects of equipment failures and virtually fly preset missions.Aircraft Fuel Systems provides a timely and invaluable resource for engineers, project and programme managers in the equipment supply and application communities, as well as for graduate and postgraduate students of mechanical and aerospace engineering. It constitutes an invaluable addition to the established Wiley Aerospace Series.

Arguing that we must take seriously the possibility that the Nazis were in some measure correct, Gimbel examines Einstein and his work to explore how beliefs, background, and environment may—or may not—have influenced the work of the scientist. You cannot understand Einstein’s science, Gimbel declares, without knowing the history, religion, and philosophy that influenced it.

No one, especially Einstein himself, denies Einstein's Jewish heritage, but many are uncomfortable saying that he was being a Jew while he was at his desk working. To understand what "Jewish" means for Einstein’s work, Gimbel first explores the many definitions of "Jewish" and asks whether there are elements of Talmudic thinking apparent in Einstein’s theory of relativity. He applies this line of inquiry to other scientists, including Isaac Newton, René Descartes, Sigmund Freud, and Émile Durkheim, to consider whether their specific religious beliefs or backgrounds manifested in their scientific endeavors.

Einstein's Jewish Science intertwines science, history, philosophy, theology, and politics in fresh and fascinating ways to solve the multifaceted riddle of what religion means—and what it means to science. There are some senses, Gimbel claims, in which Jews can find a special connection to E = mc2, and this claim leads to the engaging, spirited debate at the heart of this book.

As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex.

Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge.

Do long division as the ancient Egyptians did! Solve quadratic equations like the Babylonians! Study geometry just as students did in Euclid's day! This unique text offers students of mathematics an exciting and enjoyable approach to geometry and number systems. Written in a fresh and thoroughly diverting style, the text — while designed chiefly for classroom use — will appeal to anyone curious about mathematical inscriptions on Egyptian papyri, Babylonian cuneiform tablets, and other ancient records.

The authors have produced an illuminated volume that traces the history of mathematics — beginning with the Egyptians and ending with abstract foundations laid at the end of the nineteenth century. By focusing on the actual operations and processes outlined in the text, students become involved in the same problems and situations that once confronted the ancient pioneers of mathematics. The text encourages readers to carry out fundamental algebraic and geometric operations used by the Egyptians and Babylonians, to examine the roots of Greek mathematics and philosophy, and to tackle still-famous problems such as squaring the circle and various trisectorizations.

Unique in its detailed discussion of these topics, this book is sure to be welcomed by a broad range of interested readers. The subject matter is suitable for prospective elementary and secondary school teachers, as enrichment material for high school students, and for enlightening the general reader. No specialized or advanced background beyond high school mathematics is required.

This classroom-tested book covers the main subjects of a standard undergraduate probability course, including basic probability rules, standard models for describing collections of data, and the laws of large numbers. It also discusses several more advanced topics, such as the ballot theorem, the arcsine law, and random walks, as well as some specialized poker issues, such as the quantification of luck and skill in Texas Hold’em. Homework problems are provided at the end of each chapter.

The author includes examples of actual hands of Texas Hold’em from the World Series of Poker and other major tournaments and televised games. He also explains how to use R to simulate Texas Hold’em tournaments for student projects. R functions for running the tournaments are freely available from CRAN (in a package called holdem).

See Professor Schoenberg discuss the book.

In Visions of Infinity, celebrated mathematician Ian Stewart provides a fascinating overview of the most formidable problems mathematicians have vanquished, and those that vex them still. He explains why these problems exist, what drives mathematicians to solve them, and why their efforts matter in the context of science as a whole. The three-century effort to prove Fermat's last theorem—first posited in 1630, and finally solved by Andrew Wiles in 1995—led to the creation of algebraic number theory and complex analysis. The Poincaré conjecture, which was cracked in 2002 by the eccentric genius Grigori Perelman, has become fundamental to mathematicians' understanding of three-dimensional shapes. But while mathematicians have made enormous advances in recent years, some problems continue to baffle us. Indeed, the Riemann hypothesis, which Stewart refers to as the “Holy Grail of pure mathematics,” and the P/NP problem, which straddles mathematics and computer science, could easily remain unproved for another hundred years.

An approachable and illuminating history of mathematics as told through fourteen of its greatest problems, Visions of Infinity reveals how mathematicians the world over are rising to the challenges set by their predecessors—and how the enigmas of the past inevitably surrender to the powerful techniques of the present.

From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map.

Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.