This book provides a modern introduction to the main principles that are foundational to thermal physics, thermodynamics and statistical mechanics. The key concepts are carefully presented in a clear way, and new ideas are illustrated with copious worked examples as well as a description of the historical background to their discovery. Applications are presented to subjects as diverse as stellar astrophysics, information and communication theory, condensed matter physics and climate change. Each chapter concludes with detailed exercises.

    The science of complexity studies how single elements, such as a species or a stock, spontaneously organize into complicated structures like ecosystems and economies; stars become galaxies, and snowflakes avalanches almost as if these systems were obeying a hidden yearning for order. Drawing from diverse fields, scientific luminaries such as Nobel Laureates Murray Gell-Mann and Kenneth Arrow are studying complexity at a think tank called The Santa Fe Institute. The revolutionary new discoveries researchers have made there could change the face of every science from biology to cosmology to economics. M. Mitchell Waldrop's groundbreaking bestseller takes readers into the hearts and minds of these scientists to tell the story behind this scientific revolution as it unfolds.

    It combines the essential elements of the theory with the practical applications. Containing many examples and problems with step-by-step solutions, this cleverly structured text assists the reader in mastering the machinery of quantum mechanics. * A comprehensive introduction to the subject * Includes over 65 solved examples integrated throughout the text * Includes over 154 fully solved multipart problems * Offers an indepth treatment of the practical mathematical tools of quantum mechanics * Accessible to teachers as well as students

    Of course, it’s not all cooking; we’ll also run the New York and Chicago marathons, pay visits to Cinderella and Lewis Carroll, and even get to the bottom of a tomato’s identity as a vegetable. This is not the math of our high school classes: mathematics, Cheng shows us, is less about numbers and formulas and more about how we know, believe, and understand anything, including whether our brother took too much cake.At the heart of How to Bake Pi is Cheng’s work on category theory—a cutting-edge “mathematics of mathematics.” Cheng combines her theory work with her enthusiasm for cooking both to shed new light on the fundamentals of mathematics and to give readers a tour of a vast territory no popular book on math has explored before. Lively, funny, and clear, How to Bake Pi will dazzle the initiated while amusing and enlightening even the most hardened math-phobe.

    That transition is the basis of this book. In From Science to God, he blends physics, psychology, and philosophy to reach a new worldview in which consciousness is a fundamental quality of creation. Russell shows how all the ingredients for this worldview are in place; it remains only to put the pieces together and explore the new picture of reality that emerges. Integrating a deep knowledge of science with his own experiences of meditation, Russell arrives at a universe similar to that described by many mystics — one in which the inner and outer worlds no longer conflict. The bridge between them, he shows, is light, and this book invites readers to cross that bridge to find new meaning in God and a deeper significance in spiritual practice.

    This is a two-volume work. Volume I introduces the foundations of quantum field theory. The development is fresh and logical throughout, with each step carefully motivated by what has gone before, and emphasizing the reasons why such a theory should describe nature. After a brief historical outline, the book begins anew with the principles about which we are most certain, relativity and quantum mechanics, and the properties of particles that follow from these principles. Quantum field theory emerges from this as a natural consequence. The author presents the classic calculations of quantum electrodynamics in a thoroughly modern way, showing the use of path integrals and dimensional regularization. His account of renormalization theory reflects the changes in our view of quantum field theory since the advent of effective field theories. The book's scope extends beyond quantum electrodynamics to elementary particle physics, and nuclear physics. It contains much original material, and is peppered with examples and insights drawn from the author's experience as a leader of elementary particle research. Problems are included at the end of each chapter. This work will be an invaluable reference for all physicists and mathematicians who use quantum field theory, and it is also appropriate as a textbook for graduate students in this area.

    The book also provides a balanced presentation of time-varying and static fields, preparingstudents for employment in today's industrial and manufacturing sectors. Streamlined to facilitate student understanding, this edition features worked examples in every chapter that explain how to use the theory presented in the text to solve different kinds of problems. Numerical methods, including MATLAB and vector analysis, are also included to help students analyzesituations that they are likely to encounter in industry practice. Elements of Electromagnetics, Fifth Edition, is designed for introductory undergraduate courses in electromagnetics.

    Intended for undergraduate students with foundation skills in mathematics and a deep interest in physics, it systematically lays out the principles of mechanics: vectors, Newton's laws, momentum, energy, rotational motion, angular momentum and noninertial systems, and includes chapters on central force motion, the harmonic oscillator, and relativity. Numerous worked examples demonstrate how the principles can be applied to a wide range of physical situations, and more than 600 figures illustrate methods for approaching physical problems. The book also contains over 200 challenging problems to help the student develop a strong understanding of the subject. Password-protected solutions are available for instructors at www.cambridge.org/9780521198219.

    Stewart's Calculus is successful throughout the world because he explains the material in a way that makes sense to a wide variety of readers. His explanations make ideas come alive, and his problems challenge, to reveal the beauty of calculus. Stewart's examples stand out because they are not just models for problem solving or a means of demonstrating techniques--they also encourage readers to develp an analytic view of the subject. This edition includes new problems, examples, and projects.

    Numerous tables and figures.

    Now, in an exciting, fast-paced historical narrative ranging across two centuries, Mark Ronan takes us on an exhilarating tour of this final mathematical quest. Ronan describes how the quest to understand symmetry really began with the tragic young genius Evariste Galois, who died at the age of 20 in a duel. Galois, who spent the night before he died frantically scribbling his unpublished discoveries, used symmetry to understand algebraic equations, and he discovered that there were building blocks or atoms of symmetry. Most of these building blocks fit into a table, rather like the periodic table of elements, but mathematicians have found 26 exceptions. The biggest of these was dubbed the Monster--a giant snowflake in 196,884 dimensions. Ronan, who personally knows the individuals now working on this problem, reveals how the Monster was only dimly seen at first. As more and more mathematicians became involved, the Monster became clearer, and it was found to be not monstrous but a beautiful form that pointed out deep connections between symmetry, string theory, and the very fabric and form of the universe. This story of discovery involves extraordinary characters, and Mark Ronan brings these people to life, vividly recreating the growing excitement of what became the biggest joint project ever in the field of mathematics. Vibrantly written, Symmetry and the Monster is a must-read for all fans of popular science--and especially readers of such books as Fermat's Last Theorem.

    Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.

    Not until the nineteenth century would three men, armed with the best telescopes of their age, race to conquer this astronomical Everest. Parallax tells the fast-moving story of their contest, which ended in a dead heat. Against a sweeping backdrop filled with kidnappings, dramatic rescue, swordplay, madness, and bitter rivalry, Alan W. Hirshfeld brings to life the heroes -- and heroines -- of this remarkable chapter in history. Characters include the destitute boy plucked from a collapsed building who grew up to become the world's greatest telescope maker; the hot-tempered Dane whose nose was lopped off in a duel over mathematics; a merchant's apprentice forced to choose between the lure of money and his passion for astronomy; and the musician who astounded the world by discovering a new planet from his own backyard.Generously illustrated with period engravings and paintings, Parallax is an unforgettable ride through time and space.

    Relativity and quantum physics touch the very basis of physical reality, altering our commonsense notions of space and time, cause and effect. Both have reputations for complexity. But the basic ideas behind relativity and quantum physics are, in fact, simple and comprehensible by anyone. As Professor Wolfson points out, the essence of relativity can be summed up in a single sentence: The laws of physics are the same for all observers in uniform motion. The same goes for quantum theory, which is based on the principle that the "stuff " of the universe-matter and energy-is not infinitely divisible but comes in discrete chunks called "quanta." Profound ... Beautiful ... Relevant Why should you care about these landmark theories? Because relativity and quantum physics are not only profound and beautiful ideas in their own right, they are also the gateway to understanding many of the latest science stories in the media. These are the stories about time travel, string theory, black holes, space telescopes, particle accelerators, and other cutting-edge developments. Consider these ideas: Although Einstein's theory of general relativity dates from 1914, it has not been possible to test certain predictions until recently. The Hubble Space Telescope is providing some of the most striking confirmations of the theory, including certain evidence for the existence of black holes, objects that warp space and time so that not even light can escape. Also, the expansion of the universe predicted by the theory of general relativity is now a known rate. General relativity also predicts an even weirder phenomenon called "wormholes" that offer shortcuts to remote reaches of time and space. According to Einstein's theory of special relativity, two twins would age at different rates if one left on a high-speed journey to a distant star and then returned. This experiment has actually been done, not with twins, but with an atomic clock flown around the world. Another fascinating experiment confirming that time slows as speed increases comes from measuring muons at the top and bottom of mountains. A seemingly absurd consequence of quantum mechanics, called "quantum tunneling," makes it possible for objects to materialize through impenetrable barriers. Quantum tunneling happens all the time on the subatomic scale and plays an important role in electronic devices and the nuclear processes that keep the sun shining. Some predictions about the expansion of the universe were so odd that Einstein himself tried to rewrite the mathematics in order to eliminate them. When Hubble discovered the expansion of the universe, Einstein called the revisions the biggest mistake he had ever made. An intriguing thought experiment called "Schrödinger's cat" suggests that a cat in an enclosed box is simultaneously alive and dead under experimental conditions involving quantum phenomena. From Aristotle to the Theory of Everything Professor Wolfson begins with a brief overview of theories of physical reality starting with Aristotle and culminating in Newtonian or "classical" physics. Then he outlines the logic that led to Einstein's theory of special relativity, and the simple yet far-reaching insight on which it rests. With that insight in mind, you move on to consider Einstein's theory of general relativity and its interpretation of gravitation in terms of the curvature of space and time. Professor Wolfson then shows how inquiry into matter at the atomic and subatomic scales led to quandaries that are resolved-or at least clarified-by quantum mechanics, a vision of physical reality so at odds with our experience that it nearly defies language. Bringing relativity and quantum mechanics into the same picture leads to hypotheses about the origin, development, and possible futures of the entire universe, and the possibility that physics can produce a "theory of everything" to account for all aspects of the physical world. Fascinating Incidents and Ideas Along the way, you'll explore these fascinating incidents and ideas: In the 1880s, Albert Michelson and Edward Morley conducted an experiment to determine the motion of the Earth relative to the ether, which was a supposedly imponderable substance pervading all of space. You'll learn about their experiment, its shocking result, and the resulting theoretical crisis. In 1905, a young Swiss patent clerk named Albert Einstein resolved the crisis by discarding the ether concept and asserting the principle of relativity-that the laws of physics are the same for all observers in uniform motion. Relativity implies that the time order of events can be different in different reference frames. Does this wreak havoc with cause and effect? And why does Einstein assert that nothing can go faster than light? Shortly after publishing his 1905 paper on special relativity, Einstein realized that his theory required a fundamental equivalence between mass and energy, which he expressed in the equation E=mc2. Among other things, this famous formula means that the energy contained in a single raisin could power a large city for a whole day. Historically, the path to general relativity followed Einstein's attempt to incorporate gravity into relativity theory, which led to his understanding of gravity not as a force, but as a local manifestation of geometry in curved spacetime. Quantum theory places severe limits on our ability to observe nature at the atomic scale because it implies that the act of observation necessarily disturbs the thing that is being observed. The result is Werner Heisenberg's famous "uncertainty principle." Are quarks, the particles that make up protons and neutrons, the truly elementary particles? What are the three fundamental forces that physicists identify as holding particles together? Could they be manifestations of a single, universal force? A Teaching Legend On his own Middlebury College campus, Professor Wolfson is a teaching legend with an infectious enthusiasm for his subject and a knack for conveying difficult concepts in a way that fosters true understanding. He is the author of an introductory text on physics, a contributor to the esteemed publication Scientific American, and a specialist in interpreting science for the nonspecialist. In this course, Professor Wolfson uses extensive illustrations and diagrams to help bring to life the theories and concepts that he discusses. Thus we highly recommend our DVD version, although Professor Wolfson is mindful of our audio students and carefully describes visual materials throughout his lectures. Professor Richard Wolfson on the Second Edition of Einstein's Relativity: "The first version of this course was produced in 1995. In this new version, I have chosen to spend more time on the philosophical interpretation of quantum physics, and on recent experiments relevant to that interpretation. I have also added a final lecture on the theory of everything and its possible implementation through string theory. The graphic presentations for the DVD version have also been extensively revised and enhanced. But the goal remains the same: to present the key ideas of modern physics in a way that makes them clear to the interested layperson."