Using the dialogue form, a genre common in classical philosophical works, Galileo masterfully demonstrates the truth of the Copernican system over the Ptolemaic one, proving, for the first time, that the earth revolves around the sun. Its influence is incalculable. The Dialogue is not only one of the most important scientific treatises ever written, but a work of supreme clarity and accessibility, remaining as readable now as when it was first published. This edition uses the definitive text established by the University of California Press, in Stillman Drake’s translation, and includes a Foreword by Albert Einstein and a new Introduction by J. L. Heilbron.

    Widely accepted as the authoritative text and reference on electronic circuit design, both analog and digital, this book revolutionized the teaching of electronics by emphasizing the methods actually used by circuit designers -- a combination of some basic laws, rules of thumb, and a large bag of tricks. The result is a largely nonmathematical treatment that encourages circuit intuition, brainstorming, and simplified calculations of circuit values and performance. The new Art of Electronics retains the feeling of informality and easy access that helped make the first edition so successful and popular. It is an ideal first textbook on electronics for scientists and engineers and an indispensable reference for anyone, professional or amateur, who works with electronic circuits.

    Czerski provides the tools to alter the way we see everything around us by linking ordinary objects and occurrences, like popcorn popping, coffee stains, and fridge magnets, to big ideas like climate change, the energy crisis, or innovative medical testing. She provides answers to vexing questions: How do ducks keep their feet warm when walking on ice? Why does it take so long for ketchup to come out of a bottle? Why does milk, when added to tea, look like billowing storm clouds? In an engaging voice at once warm and witty, Czerski shares her stunning breadth of knowledge to lift the veil of familiarity from the ordinary.

    This wonderfully accessible book illuminates the professional and personal paths that led him to this remarkable conclusion.All interactions between particles in the universe, Lloyd explains, convey not only energy but also information—in other words, particles not only collide, they compute. And what is the entire universe computing, ultimately? “Its own dynamical evolution,” he says. “As the computation proceeds, reality unfolds.”To elucidate his theory, Lloyd examines the history of the cosmos, posing questions that in other hands might seem unfathomably complex: How much information is there in the universe? What information existed at the moment of the Big Bang and what happened to it? How do quantum mechanics and chaos theory interact to create our world? Could we attempt to re-create it on a giant quantum computer? Programming the Universe presents an original and compelling vision of reality, revealing our world in an entirely new light.

    Topics include the limits of knowledge, paradox of complexity, Maxwell's demon, Big Bang theory, much more. 1985 edition.

    In Turing’s Cathedral, George Dyson focuses on a small group of men and women, led by John von Neumann at the Institute for Advanced Study in Princeton, New Jersey, who built one of the first computers to realize Alan Turing’s vision of a Universal Machine. Their work would break the distinction between numbers that mean things and numbers that do things—and our universe would never be the same. Using five kilobytes of memory (the amount allocated to displaying the cursor on a computer desktop of today), they achieved unprecedented success in both weather prediction and nuclear weapons design, while tackling, in their spare time, problems ranging from the evolution of viruses to the evolution of stars. Dyson’s account, both historic and prophetic, sheds important new light on how the digital universe exploded in the aftermath of World War II. The proliferation of both codes and machines was paralleled by two historic developments: the decoding of self-replicating sequences in biology and the invention of the hydrogen bomb. It’s no coincidence that the most destructive and the most constructive of human inventions appeared at exactly the same time.  How did code take over the world? In retracing how Alan Turing’s one-dimensional model became John von Neumann’s two-dimensional implementation, Turing’s Cathedral offers a series of provocative suggestions as to where the digital universe, now fully three-dimensional, may be heading next.

    John Brockman brings together the world’s best-known physicists and science writers—including Brian Greene, Walter Isaacson, Nobel Prize-winners Murray Gell-Mann and Frank Wilczek, and Brian Cox—to explain the universe in all wondrous splendor.In Universe, today’s most influential science writers explain the science behind our evolving understanding of the universe and everything in it, including the cutting edge research and discoveries that are shaping our knowledge.Lee Smolin reveals how math and cosmology are helping us create a theory of the whole universe Brian Cox offers new dimensions on the Large Hadron and the existence of a Higgs-Boson particle Neil Turok analyzes the fundamental laws of nature, what came before the big bang, and the possibility of a unified theory.Seth Lloyd investigates the impact of computational revolutions and the informational revolution Lawrence Krauss provides fresh insight into gravity, dark matter, and the energy of empty space Brian Greene and Walter Isaacson illuminate the genius who revolutionized modern science: Albert Einstein and much more.Explore the Universe with some of today’s greatest minds: what it is, how it came into being, and what may happen next.

    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    In this book, Chris Bernhardt offers an introduction to quantum computing that is accessible to anyone who is comfortable with high school mathematics. He explains qubits, entanglement, quantum teleportation, quantum algorithms, and other quantum-related topics as clearly as possible for the general reader. Bernhardt, a mathematician himself, simplifies the mathematics as much as he can and provides elementary examples that illustrate both how the math works and what it means.Bernhardt introduces the basic unit of quantum computing, the qubit, and explains how the qubit can be measured; discusses entanglement--which, he says, is easier to describe mathematically than verbally--and what it means when two qubits are entangled (citing Einstein's characterization of what happens when the measurement of one entangled qubit affects the second as "spooky action at a distance"); and introduces quantum cryptography. He recaps standard topics in classical computing--bits, gates, and logic--and describes Edward Fredkin's ingenious billiard ball computer. He defines quantum gates, considers the speed of quantum algorithms, and describes the building of quantum computers. By the end of the book, readers understand that quantum computing and classical computing are not two distinct disciplines, and that quantum computing is the fundamental form of computing. The basic unit of computation is the qubit, not the bit.

    This book gives a lucid, exciting, and accessible account of the surprising and counterintuitive ideas that shape our understanding of the sub-atomic world. It does not disguise the problems of interpretation that still remain unsettled 75 years after the initial discoveries. The main text makes no use of equations, but there is a Mathematical Appendix for those desiring stronger fare. Uncertainty, probabilistic physics, complementarity, the problematic character of measurement, and decoherence are among the many topics discussed. This volume offers the reader access to one of the greatest discoveries in the history of physics and one of the outstanding intellectual achievements of the twentieth century.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    A strong gravitational wave will briefly change that distance by less than the thickness of a human hair. We have perhaps less than a few tenths of a second to perform this measurement. And we don’t know if this infinitesimal event will come next month, next year or perhaps in thirty years.In 1916 Einstein predicted the existence of gravitational waves: miniscule ripples in the very fabric of spacetime generated by unfathomably powerful events. If such vibrations could somehow be recorded, we could observe our universe for the first time through sound: the hissing of the Big Bang, the whale-like tunes of collapsing stars, the low tones of merging galaxies, the drumbeat of two black holes collapsing into one. For decades, astrophysicists have searched for a way of doing so…In 2016 a team of hundreds of scientists at work on a billion-dollar experiment made history when they announced the first ever detection of a gravitational wave, confirming Einstein’s prediction. This is their story, and the story of the most sensitive scientific instrument ever made: LIGO.Based on complete access to LIGO and the scientists who created it, Black Hole Blues provides a firsthand account of this astonishing achievement: a compelling, intimate portrait of cutting-edge science at its most awe-inspiring and ambitious.

    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.

    With the Big Bang, it went from a state of unimaginable density to an all-encompassing cosmic fireball to a simmering fluid of matter and energy, laying down the seeds for everything from dark matter to black holes to one rocky planet orbiting a star near the edge of a spiral galaxy that happened to develop life. But what happens at the end of the story? In billions of years, humanity could still exist in some unrecognizable form, venturing out to distant space, finding new homes and building new civilizations. But the death of the universe is final. What might such a cataclysm look like? And what does it mean for us? Dr. Katie Mack has been contemplating these questions since she was eighteen, when her astronomy professor first informed her the universe could end at any moment, setting her on the path toward theoretical astrophysics. Now, with lively wit and humor, she unpacks them in The End of Everything, taking us on a mind-bending tour through each of the cosmos’ possible finales: the Big Crunch; the Heat Death; Vacuum Decay; the Big Rip; and the Bounce. In the tradition of Neil DeGrasse’s bestseller Astrophysics for People in a Hurry, Mack guides us through major concepts in quantum mechanics, cosmology, string theory, and much more, in a wildly fun, surprisingly upbeat ride to the farthest reaches of everything we know.

    of Wisconsin-Madison) and Wichern (Texas A&M U.) present the newest edition of this college text on the statistical methods for describing and analyzing multivariate data, designed for students who have taken two or more statistics courses. The fifth edition includes the addition of seve

    He provides readers with non-trivial insights into research fields they may not have encountered previously . . . I think everyone who has ever considered the possibility that other intelligent civilizations exist elsewhere within our galaxy will enjoy Where Is Everybody? They will find much to agree with, and much to argue about, in this very accessible volume.� �SCIENCE During a Los Alamos lunchtime conversation that took place more than 50 years ago, four world-class scientists agreed, given the size and age of the Universe, that advanced extraterrestrial civilizations simply had to exist. The sheer numbers demanded it. But one of the four, the renowned physicist and back-of-the-envelope calculator Enrico Fermi, asked the telling question: If the extraterrestrial life proposition is true, he wondered, "Where IS everybody?" In this lively and thought-provoking book, Stephen Webb presents a detailed discussion of the 50 most cogent and intriguing answers to Fermi's famous question, divided into three distinct groups: - Aliens are already here among us. Here are answers ranging from Leo Szilard's suggestion that they are already here, and we know them as Hungarians, to the theorists who claim that aliens built Stonehenge and the Easter Island statues. - Aliens exist, but have not yet communicated. The theories in this camp range widely, from those who believe we simply don't have the technologies to receive their signals, to those who believe the enormities of space and time work against communication, to those who believe they're hiding from us. - Aliens do not exist. Here are the doubters' arguments, from the Rare Earth theory to the author's own closely argued and cogently stated skepticism. The proposed solutions run the gamut from the crackpot to the highly serious, but all deserve our consideration. The varieties of arguments -- from first-rate scientists, philosophers and historians, and science fiction authors -- turn out to be astonishing, entertaining, and vigorous intellectual exercises for any reader interested in science and the sheer pleasure of speculative thinking. Stephen Webb is a physicist working at the Open University in England and the author of Measuring the Universe.