The Principia: Mathematical Principles of Natural Philosophy


Isaac Newton - 1687
    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.

Six Not-So-Easy Pieces: Einstein's Relativity, Symmetry, and Space-Time


Richard P. Feynman - 1963
    Feynman (1918–1988)—physicist, teacher, author, and cultural icon. His autobiographies and biographies have been read and enjoyed by millions of readers around the world, while his wit and eccentricities have made him the subject of TV specials and even a theatrical film. The spectacular reception of the book and audio versions of Feynman’s Six Easy Pieces (published in 1995) resulted in a worldwide clamor for “More Feynman! More Feynman!” The outcome is these six additional lectures, drawn from the celebrated three-volume Lectures on Physics. Though slightly more challenging than the first six, these lectures are more focused, delving into the most revolutionary discovery in twentieth-century physics: Einstein’s Theory of Relativity. No single breakthrough in twentieth-century physics (with the possible exception of quantum mechanics) changed our view of the world more than that of Einstein’s discovery of relativity. The notions that the flow of time is not a constant, that the mass of an object depends on its velocity, and that the speed of light is a constant no matter what the motion of the observer, at first seemed shocking to scientists and laymen alike. But, as Feynman shows so clearly and so entertainingly in the lectures chosen for this volume, these crazy notions are no mere dry principles of physics, but are things of beauty and elegance. No one—not even Einstein himself—explained these difficult, anti-intuitive concepts more clearly, or with more verve and gusto, than Richard Feynman.

Chaos: Making a New Science


James Gleick - 1987
    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics


Marcus du Sautoy - 2003
    The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians to this day.Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting-edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.

The Road to Reality: A Complete Guide to the Laws of the Universe


Roger Penrose - 2004
    From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

Quantum Enigma: Physics Encounters Consciousness


Bruce Rosenblum - 2006
    Can you believe that physical reality is created by our observation of it? Physicists were forced to this conclusion, the quantum enigma, by what they observed in their laboratories.Trying to understand the atom, physicists built quantum mechanics and found, to their embarrassment, that their theory intimately connects consciousness with the physical world. Quantum Enigma explores what that implies and why some founders of the theory became the foremost objectors to it. Schr�dinger showed that it absurdly allowed a cat to be in a superposition simultaneously dead and alive. Einstein derided the theory's spooky interactions. With Bell's Theorem, we now know Schr�dinger's superpositions and Einstein's spooky interactions indeed exist.Authors Bruce Rosenblum and Fred Kuttner explain all of this in non-technical terms with help from some fanciful stories and bits about the theory's developers. They present the quantum mystery honestly, with an emphasis on what is and what is not speculation.Physics' encounter with consciousness is its skeleton in the closet. Because the authors open the closet and examine the skeleton, theirs is a controversial book. Quantum Enigma's description of the experimental quantum facts, and the quantum theory explaining them, is undisputed. Interpreting what it all means, however, is controversial.Every interpretation of quantum physics encounters consciousness. Rosenblum and Kuttner therefore turn to exploring consciousness itself--and encounter quantum physics. Free will and anthropic principles become crucial issues, and the connection of consciousness with the cosmos suggested by some leading quantum cosmologists is mind-blowing.Readers are brought to a boundary where the particular expertise of physicists is no longer a sure guide. They will find, instead, the facts and hints provided by quantum mechanics and the ability to speculate for themselves.

The Golden Ratio: The Story of Phi, the World's Most Astonishing Number


Mario Livio - 2002
    In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!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.From the Hardcover edition.

Schrodinger's Rabbits: The Many Worlds of Quantum


Colin Bruce - 2004
    But recent technological advances have made the question both practical and urgent. A brilliantly imaginative group of physicists at Oxford University have risen to the challenge. This is their story. At long last, there is a sensible way to think about quantum mechanics. The new view abolishes the need to believe in randomness, long-range spooky forces, or conscious observers with mysterious powers to collapse cats into a state of life or death. But the new understanding comes at a price: we must accept that we live in a multiverse wherein countless versions of reality unfold side-by-side. The philosophical and personal consequences of this are awe-inspiring.The new interpretation has allowed imaginative physicists to conceive of wonderful new technologies: measuring devices that effectively share information between worlds and computers that can borrow the power of other worlds to perform calculations. Step by step, the problems initially associated with the original many-worlds formulation have been addressed and answered so that a clear but startling new picture has emerged.Just as Copenhagen was the centre of quantum discussion a lifetime ago, so Oxford has been the epicenter of the modern debate, with such figures as Roger Penrose and Anton Zeilinger fighting for single-world views, and David Deutsch, Lev Vaidman and a host of others for many-worlds.An independent physicist living in Oxford, Bruce has had a ringside seat to the debate. In his capable hands, we understand why the initially fantastic sounding many-worlds view is not only a useful way to look at things, but logically compelling. Parallel worlds are as real as the distant galaxies detected by the Hubble Space Telescope, even though the evidence for their existence may consist only of a few photons.

Zero: The Biography of a Dangerous Idea


Charles Seife - 2000
    For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.

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.

Three Roads To Quantum Gravity


Lee Smolin - 2000
     "Provocative, original, and unsettling." -- The New York Review of Books "An excellent writer, a creative thinker." -- Nature

Space-time and beyond : toward an explanation of the unexplainable


Bob Toben - 1975
    Captioned cartoon drawings offering an overview of universal order as they deal with various phenomena are combined with scientific commentary

Lucifer's Legacy: The Meaning of Asymmetry


Frank Close - 2000
    But increasingly, it looks as though life is the result of cosmic asymmetry, and scientists are now preparing to uncover the asymmetries at the heart of the Big Bang. As we begin a new millennium, it becomes clearer that true understanding of our Universe will come only from identifying and understanding the asymmetries that surround us. While modern scientific theory describes a uniformly perfect and symmetrical creation, we know that were that so, matter would have been destroyed within an instant of its appearance and nothing that we now know could ever have happened. Not only cosmic life but our own everyday variety is full of other examples of asymmetry, from the human body to the molecules of life. In Lucifer's Legacy, physicist Frank Close explores the origins of asymmetry from the molecular level to the Universe at large, and asks whether this multitude of examples can be traced back to a single event that took place at the origin of our Universe. Inspired by a chance encounter with a statue of Lucifer in the Tuillerie gardens in Paris, Close takes the reader on a sweeping tour of asymmetry in the world around us, from the development of human embryos to the mysterious Higgs boson. His tour culminates in the research now underway at CERN to recreate the Big Bang in Switzerland in 2005 and thus to solve this mystery of the original asymmetry. Vividly and engagingly written, Lucifer's Legacy reveals that whenever asymmetry occurs in Nature, it points towards deeper truths.

Information and the Nature of Reality: From Physics to Metaphysics


Paul C.W. Davies - 2010
    In recent years, however, the concept of information has gained importance. Why? In this book, eminent scientists, philosophers and theologians chart various aspects of information, from quantum information to biological and digital information, in order to understand how nature works. Beginning with a historical treatment of the topic, the book also examines physical and biological approaches to information, and its philosophical, theological and ethical implications.

Physics and Beyond: Encounters and Conversations


Werner Heisenberg - 1969
    Physics and Beyond contains Heisenberg’s most sophisticated statements of his philosophy of quantum theory, and is also a watershed inspiration for the contemporary pragmatist philosophy of science that prevails in academia today.