Quantum Computing Since Democritus


Scott Aaronson - 2013
    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

A Universe from Nothing: Why There Is Something Rather Than Nothing


Lawrence M. Krauss - 2012
    With a new preface about the significance of the discovery of the Higgs particle, A Universe from Nothing uses Krauss’s characteristic wry humor and wonderfully clear explanations to take us back to the beginning of the beginning, presenting the most recent evidence for how our universe evolved—and the implications for how it’s going to end. Provocative, challenging, and delightfully readable, this is a game-changing look at the most basic underpinning of existence and a powerful antidote to outmoded philosophical, religious, and scientific thinking.

Complexity: A Guided Tour


Melanie Mitchell - 2009
    Based on her work at the Santa Fe Institute and drawing on its interdisciplinary strategies, Mitchell brings clarity to the workings of complexity across a broad range of biological, technological, and social phenomena, seeking out the general principles or laws that apply to all of them. Richly illustrated, Complexity: A Guided Tour--winner of the 2010 Phi Beta Kappa Book Award in Science--offers a wide-ranging overview of the ideas underlying complex systems science, the current research at the forefront of this field, and the prospects for its contribution to solving some of the most important scientific questions of our time.

The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics


Clifford A. Pickover - 2009
    Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

The Fractal Geometry of Nature


Benoît B. Mandelbrot - 1977
    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

Introduction to Mathematical Philosophy


Bertrand Russell - 1918
    In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

We Are All Stardust: Leading Scientists Talk About Their Work, Their Lives, and the Mysteries of Our Existence


Stefan KleinWalter Ziegänsberger - 2010
    How does Jane Goodall’s relationship with her dog Rusty inform her thinking about our relationship to other species? Which time and place would Jared Diamond most prefer to live in, in light of his work on the role of chance in history? What does driving a sports car have to do with Steven Weinberg’s quest for the “theory of everything”? Physicist and journalist Stefan Klein’s intimate conversations with nineteen of the world’s best-known scientists (including three Nobel Laureates) let us listen in as they talk about their paradigm-changing work—and how it is deeply rooted in their daily lives. • Cosmologist Martin Rees on the beginning and end of the world • Evolutionary biologist Richard Dawkins on egoism and selflessness • Neuroscientist V. S. Ramachandran on consciousness • Molecular biologist Elizabeth Blackburn on aging • Philosopher Peter Singer on morality • Physician and social scientist Nicholas Christakis on human relationships • Biochemist Craig Venter on the human genome • Chemist and poet Roald Hoffmann on beauty

Everything and More: A Compact History of Infinity


David Foster Wallace - 2003
    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

The Doors of Perception


Aldous Huxley - 1954
    First published in 1954, it details his experiences when taking mescaline. The book takes the form of Huxley's recollection of a mescaline trip that took place over the course of an afternoon in May 1953. The book takes its title from a phrase in William Blake's 1793 poem 'The Marriage of Heaven and Hell'. Huxley recalls the insights he experienced, which range from the "purely aesthetic" to "sacramental vision". He also incorporates later reflections on the experience and its meaning for art and religion.

Emergence: The Connected Lives of Ants, Brains, Cities, and Software


Steven Johnson - 2001
    Explaining why the whole is sometimes smarter than the sum of its parts, Johnson presents surprising examples of feedback, self-organization, and adaptive learning. How does a lively neighborhood evolve out of a disconnected group of shopkeepers, bartenders, and real estate developers? How does a media event take on a life of its own? How will new software programs create an intelligent World Wide Web? In the coming years, the power of self-organization -- coupled with the connective technology of the Internet -- will usher in a revolution every bit as significant as the introduction of electricity. Provocative and engaging, Emergence puts you on the front lines of this exciting upheaval in science and thought.

Calculus Made Easy


Silvanus Phillips Thompson - 1910
    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

Death by Black Hole: And Other Cosmic Quandaries


Neil deGrasse Tyson - 2006
    "One of today's best popularizers of science." —Kirkus Reviews.Loyal readers of the monthly "Universe" essays in Natural History magazine have long recognized Neil deGrasse Tyson's talent for guiding them through the mysteries of the cosmos with stunning clarity and almost childlike enthusiasm. Here, Tyson compiles his favorite essays across a myriad of cosmic topics. The title essay introduces readers to the physics of black holes by explaining the gory details of what would happen to your body if you fell into one. "Holy Wars" examines the needless friction between science and religion in the context of historical conflicts. "The Search for Life in the Universe" explores astral life from the frontiers of astrobiology. And "Hollywood Nights" assails the movie industry's feeble efforts to get its night skies right. Known for his ability to blend content, accessibility, and humor, Tyson is a natural teacher who simplifies some of the most complex concepts in astrophysics while simultaneously sharing his infectious excitement about our universe.

The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century


David Salsburg - 2001
    At a summer tea party in Cambridge, England, a guest states that tea poured into milk tastes different from milk poured into tea. Her notion is shouted down by the scientific minds of the group. But one man, Ronald Fisher, proposes to scientifically test the hypothesis. There is no better person to conduct such an experiment, for Fisher is a pioneer in the field of statistics.The Lady Tasting Tea spotlights not only Fisher's theories but also the revolutionary ideas of dozens of men and women which affect our modern everyday lives. Writing with verve and wit, David Salsburg traces breakthroughs ranging from the rise and fall of Karl Pearson's theories to the methods of quality control that rebuilt postwar Japan's economy, including a pivotal early study on the capacity of a small beer cask at the Guinness brewing factory. Brimming with intriguing tidbits and colorful characters, The Lady Tasting Tea salutes the spirit of those who dared to look at the world in a new way.

The Quantum and the Lotus: A Journey to the Frontiers Where Science and Buddhism Meet


Matthieu Ricard - 2000
    Eventually he left his life in science to study with Tibetan teachers, and he is now a Buddhist monk and translator for the Dalai Lama, living in the Shechen monastery near Kathmandu in Nepal. Trinh Thuan was born into a Buddhist family in Vietnam but became intrigued by the explosion of discoveries in astronomy during the 1960s. He made his way to the prestigious California Institute of Technology to study with some of the biggest names in the field and is now an acclaimed astrophysicist and specialist on how the galaxies formed. When Matthieu Ricard and Trinh Thuan met at an academic conference in the summer of 1997, they began discussing the many remarkable connections between the teachings of Buddhism and the findings of recent science. That conversation grew into an astonishing correspondence exploring a series of fascinating questions. Did the universe have a beginning? Or is our universe one in a series of infinite universes with no end and no beginning? Is the concept of a beginning of time fundamentally flawed? Might our perception of time in fact be an illusion, a phenomenon created in our brains that has no ultimate reality? Is the stunning fine-tuning of the universe, which has produced just the right conditions for life to evolve, a sign that a “principle of creation” is at work in our world? If such a principle of creation undergirds the workings of the universe, what does that tell us about whether or not there is a divine Creator? How does the radical interpretation of reality offered by quantum physics conform to and yet differ from the Buddhist conception of reality? What is consciousness and how did it evolve? Can consciousness exist apart from a brain generating it?The stimulating journey of discovery the authors traveled in their discussions is re-created beautifully in The Quantum and the Lotus, written in the style of a lively dialogue between friends. Both the fundamental teachings of Buddhism and the discoveries of contemporary science are introduced with great clarity, and the reader will be profoundly impressed by the many correspondences between the two streams of thought and revelation. Through the course of their dialogue, the authors reach a remarkable meeting of minds, ultimately offering a vital new understanding of the many ways in which science and Buddhism confirm and complement each other and of the ways in which, as Matthieu Ricard writes, “knowledge of our spirits and knowledge of the world are mutually enlightening and empowering.” “The Quantum and the Lotus is a mind-expanding, eye-opening exploration of the exciting parallels between cutting-edge thinking in physics and Buddhism–a scintillating conversation any thinking person would delight in overhearing.” —Daniel Goleman, author of Emotional Intelligence“The Quantum and the Lotus is the rich and inspiring result of a deeply interesting dialogue between Western science and Buddhist philosophy. This remarkable book will contribute greatly to a better understanding of the true nature of our world and the way we live our lives.” —His Holiness the Dalai Lama

Not Even Wrong: The Failure of String Theory and the Search for Unity in Physical Law


Peter Woit - 2006
    In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.