This book first covers exact and approximate analytical techniques (ordinary differential and difference equations, partial differential equations, variational principles, stochastic processes); numerical methods (finite differences for ODE's and PDE's, finite elements, cellular automata); model inference based on observations (function fitting, data transforms, network architectures, search techniques, density estimation); as well as the special role of time in modeling (filtering and state estimation, hidden Markov processes, linear and nonlinear time series). Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area, providing an orientation to what they can (and cannot) do, enough background to use them to solve typical problems, and pointers to access the literature for particular applications.

Chronicles the intellectual and technical discoveries that constitute the developments of refracting, reflecting, and radio telescopes, and related instruments, the personalities involved, and the astronomical knowledge gained by each advance

Hailed by the "Journal of the History of Astronomy" as "charming and witty," this chronicle by a renowned physicist traces the development of scientific thought from the works of the "founding fathers" Galileo, Huygens, and Newton to the more recent discoveries of Maxwell, Boltzmann, and Gibbs. 1984 edition.

This classic text introduces engineering students to the first principles of major phenomena and devices of optoelectronics and optical communication technology. Yariv's "first principles" approach employs real-life examples and extensive problems. The text includes separate chapters on quantum well and semiconductor lasers, as well as phase conjugation and its applications. Optical fiber amplification, signal and noise considerations in optical fiber systems, laser arrays and distributed feedback lasers all are covered extensively in major sections within chapters.

What warps when you’re traveling at warp speed? What is the difference between a wormhole and a black hole? Are time loops really possible, and can I kill my grandmother before I am born? Anyone who has ever wondered “could this really happen?” will gain useful insights into the Star Trek universe (and, incidentally, the real world of physics) in this charming and accessible guide. Lawrence M. Krauss boldly goes where Star Trek has gone-and beyond. From Newton to Hawking, from Einstein to Feynman, from Kirk to Picard, Krauss leads readers on a voyage to the world of physics as we now know it and as it might one day be.

"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force : lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. He begins by presenting the theory of Hermitean operators and Hilbert spaces. These provide the framework for transformation theory, which von Neumann regards as the definitive form of quantum mechanics. Using this theory, he attacks with mathematical rigor some of the general problems of quantum theory, such as quantum statistical mechanics as well as measurement processes. Regarded as a tour de force at the time of publication, this book is still indispensable for those interested in the fundamental issues of quantum mechanics.

"What can fashionable ideas, blind faith, or pure fantasy possibly have to do with the scientific quest to understand the universe? Surely, theoretical physicists are immune to mere trends, dogmatic beliefs, or flights of fancy? In fact, acclaimed physicist and best-selling author Roger Penrose argues that researchers working at the extreme frontiers of physics are just as susceptible to these forces as anyone else. In this provocative book, he argues that fashion, faith, and fantasy, while sometimes productive and even essential in physics, may be leading today's researchers astray in three of the field's most important areas--string theory, quantum mechanics, and cosmology ... The result is an important critique of some of the most significant developments in physics today from one of its most eminent figures."--Jacket.

Roger Penrose's original and provocative ideas about the large-scale physics of the Universe, the small-scale world of quantum physics and the physics of the mind have been the subject of controversy and discussion. These ideas were proposed in his best-selling books The Emperor's New Mind and Shadows of the Mind. In this book, he summarises and updates his current thinking in these complex areas to present a masterful summary of those areas of physics in which he feels there are major unresolved problems. Through this, he introduces radically new concepts which he believes will be fruitful in understanding the workings of the brain and the nature of the human mind. These ideas are challenged by three distinguished experts from different backgrounds: Abner Shimony and Nancy Cartwright as philosophers of science and Stephen Hawking as a theoretical physicist and cosmologist. Roger Penrose concludes with a response to their thought-provoking criticisms.

Sir Isaac Newton is among the giants of the scientific era. It was Newton who conceived the imperial vision of mathematical physics and Newton again who created the first and perhaps the greatest of scientific theories. Physicists searching for the elusive final theory that will conclusively explain matter in all of its manifestations are his heirs. Yet for all that, Newton has remained inaccessible to most modern readers, and even to many scientists, indisputably great but indisputably remote. In this witty, engaging, and often moving examination of Newton's life, David Berlinski recovers the man behind the mathematical breakthroughs. The story carries the reader from Newton's unremarkable childhood to his awkward undergraduate days at Cambridge and then to the astonishing year in which, working alone, he laid the foundation for his system of the world. Thereafter, Berlinski describes the creation of Newton's masterpiece, the "Principia Mathematica," the monumental feuds that poisoned his soul and that wearied his supporters, and Newton's final re-creation of himself as the master of England's financial system. This is less an exhaustive biography than an appreciation of Newton's greatest accomplishment. When he brought together years of work and towering logic into his "system of the world," Newton projected just one human mind to the outermost stars and planets. At once, he forever redefined the meaning of "nature," and of man's place in the cosmos. This seminal creative act has proved more powerful than that of any politician or king and more long-lasting than any dynasty. "Newton's Gift" is an edifying celebration of a transcendent man.

Unabridged declassified value reproduction of The Los Alamos Primer by Robert Serber, in full color with all censor markings. This is the booklet given to new workers at Los Alamos during World War II, to catch them up on how to build a practical fission bomb. The Primer was driven by Robert Oppenheimer asking his protégé Robert Serber to summarize all knowledge and possible solutions known as of April 1943 in a series of lectures. Serber did such an excellent job that the notes from the series was turned into The Los Alamos Primer. Serber was known as an expert that bridged theory and reality, and so was also chosen to be one of the first Americans to enter Hiroshima and Nagasaki to assess the atomic damage in 1945. Touch a piece of history in this slim volume with the full text at an affordable price.

This richly annotated facsimile edition of "The Foundation of General Relativity" introduces a new generation of readers to Albert Einstein's theory of gravitation. Written in 1915, this remarkable document is a watershed in the history of physics and an enduring testament to the elegance and precision of Einstein's thought. Presented here is a beautiful facsimile of Einstein's original handwritten manuscript, along with its English translation and an insightful page-by-page commentary that places the work in historical and scientific context. Hanoch Gutfreund and Jürgen Renn's concise introduction traces Einstein's intellectual odyssey from special to general relativity, and their essay "The Charm of a Manuscript" provides a delightful meditation on the varied afterlife of Einstein's text. Featuring a foreword by John Stachel, this handsome edition also includes a biographical glossary of the figures discussed in the book, a comprehensive bibliography, suggestions for further reading, and numerous photos and illustrations throughout.

Looks at coincidences and unlikely occurrences, delving into the mathematical concepts of probability and sharing stories of striking flukes and coincidences from around the world.

From the bestselling author of "The Theoretical Minimum," a DIY introduction to the math and science of quantum physics. First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics. In this follow-up to "The Theoretical Minimum," Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic objects through mathematical abstractions. Unlike other popularizations that shy away from quantum mechanics' weirdness, "Quantum Mechanics" embraces the utter strangeness of quantum logic. The authors offer crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics, and each chapter includes exercises to ensure mastery of each area. Like "The Theoretical Minimum," this volume runs parallel to Susskind's eponymous Stanford University-hosted continuing education course. An approachable yet rigorous introduction to a famously difficult topic, "Quantum Mechanics" provides a tool kit for amateur scientists to learn physics at their own pace.

Light, sprightly story about lost love, high-energy physics and the machinations of Washington.

The economics profession has become a favourite punching bag in the aftermath of the global financial crisis. Economists are widely reviled and their influence derided by the general public. Yet their services have never been in greater demand. To unravel the paradox, we need to understand both the strengths and weaknesses of economics. Dani Rodrik argues that the multiplicity of theoretical frameworks - what economists call 'models' that exist side by side is economics' great strength. Economists are trained to hold diverse, possibly contradictory models of the world in their minds. This is what allows them, when they do their job right, to comprehend the world, make useful suggestions for improving it, and to advance their stock of knowledge over time. In short, it is what makes economics a 'science' a different kind of science from physics or some other natural sciences, but a science nonetheless. But syncretism is not a comfortable state of mind, and economists often jettison it for misplaced confidence and arrogance, especially when they confront questions of public policy. Economists are prone to fads and fashions, and behave too often as if their discipline is about the search for the model that works always and everywhere, rather than a portfolio of models. Their training lets them down when it comes to navigating among diverse models and figuring out which one applies where. Ideology and political preferences frequently substitute for analysis in choosing among models.