Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

    It discusses how to plan your stargazing and what you can see with your eyes, as well as how to choose binoculars and telescopes and what you can see using them. The book also offers seasonal star charts and constellation charts and gives readers specific objects to look for in the sky. This guide from Royal Observatory Greenwich provides all you need to know to get started in stargazing and discover the universe.

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    The presentation stresses analytical methods, concrete examples, and geometric intuition. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory.About the Author:Steven Strogatz is in the Center for Applied Mathematics and the Department of Theoretical and Applied Mathematics at Cornell University. Since receiving his Ph.D. from Harvard university in 1986, Professor Strogatz has been honored with several awards, including the E.M. Baker Award for Excellence, the highest teaching award given by MIT.

    The planets were nothing like Earth, however: they were giant gas balls like Jupiter or Saturn. More than 500 planets have been found since then, yet none of them could support life. Now, armed with more powerful technology, planet hunters are racing to find a true twin of Earth. Science writer Michael Lemonick has unique access to these exoplaneteers, as they call themselves, and Mirror Earth unveils their passionate quest. Geoff Marcy, at the University of California, Berkeley, is the world's most successful planet hunter, having found two of the first three extra-solar planets. Bill Borucki, at the NASA Ames Research Center, struggled for more than a decade to launch the Kepler mission-the only planet finder, human or machine, to beat Marcy's record. David Charbonneau, at Harvard, realized that Earths would be much easier to find if he looked at tiny stars called M-dwarfs rather than stars like the Sun-and that he could use backyard telescopes to find them! Unlike those in other races, the competing scientists actually consult and cooperate with one another. But only one will be the first to find Earth's twin. Mirror Earth is poised narrate this historic event as the discovery is made.

    Each volume’s series editor selects notable works from hundreds of magazines, journals, and websites. A special guest editor, a leading writer in the field, then chooses the best twenty or so pieces to publish. This unique system has made the Best American series the most respected — and most popular — of its kind.The Best American Science and Nature Writing 2012 includesJEROME GROOPMAN, SY MONTGOMERY, MICHAEL BEHAR, DEBORAH BLUM, THOMAS GOETZ, DAVID EAGLEMAN, RIVKA GALCHEN, DAVID KIRBY, and others

    More than 3 billion miles from Earth, a small NASA spacecraft called New Horizons screamed past Pluto at more than 32,000 miles per hour, focusing its instruments on the long mysterious icy worlds of the Pluto system, and then, just as quickly, continued on its journey out into the beyond.Nothing like this has occurred in a generation--a raw exploration of new worlds unparalleled since NASA's Voyager missions to Uranus and Neptune--and nothing like it is planned to happen ever again. The photos that New Horizons sent back to Earth graced the front pages of newspapers on all 7 continents, and NASA's website for the mission received more than 2 billion hits in the days surrounding the flyby. At a time when so many think our most historic achievements are in the past, the most distant planetary exploration ever attempted not only succeeded but made history and captured the world's imagination.How did this happen? Chasing New Horizons is the story of the men and women behind the mission: of their decades-long commitment; of the political fights within and outside of NASA; of the sheer human ingenuity it took to design, build, and fly the mission; and of the plans for New Horizons' next encounter, 1 billion miles past Pluto. Told from the insider's perspective of Dr. Alan Stern--the man who led the mission--Chasing New Horizons is a riveting story of scientific discovery, and of how far humanity can go when people focused on a dream work together toward their incredible goal.

    But ask what it means, and the result will be a brawl. For a century, most physicists have followed Niels Bohr's Copenhagen interpretation and dismissed questions about the reality underlying quantum physics as meaningless. A mishmash of solipsism and poor reasoning, Copenhagen endured, as Bohr's students vigorously protected his legacy, and the physics community favored practical experiments over philosophical arguments. As a result, questioning the status quo long meant professional ruin. And yet, from the 1920s to today, physicists like John Bell, David Bohm, and Hugh Everett persisted in seeking the true meaning of quantum mechanics. What Is Real? is the gripping story of this battle of ideas and of the courageous scientists who dared to stand up for truth.

    String theory has been called the "theory of everything." It seeks to describe all the fundamental forces of nature. It encompasses gravity and quantum mechanics in one unifying theory. But it is unproven and fraught with controversy. After reading this book, you'll be able to draw your own conclusions about string theory.Steve Gubser begins by explaining Einstein's famous equation "E = mc2," quantum mechanics, and black holes. He then gives readers a crash course in string theory and the core ideas behind it. In plain English and with a minimum of mathematics, Gubser covers strings, branes, string dualities, extra dimensions, curved spacetime, quantum fluctuations, symmetry, and supersymmetry. He describes efforts to link string theory to experimental physics and uses analogies that nonscientists can understand. How does Chopin's Fantasie-Impromptu relate to quantum mechanics? What would it be like to fall into a black hole? Why is dancing a waltz similar to contemplating a string duality? Find out in the pages of this book."The Little Book of String Theory" is the essential, most up-to-date beginner's guide to this elegant, multidimensional field of physics.

    Astrophysicist Adam Frank traces the question of alien life and intelligence from the ancient Greeks to the leading thinkers of our own time, and shows how we as a civilization can only hope to survive climate change if we recognize what science has recently discovered: that we are just one of ten billion trillion planets in the Universe, and it’s highly likely that many of those planets hosted technologically advanced alien civilizations. What’s more, each of those civilizations must have faced the same challenge of civilization-driven climate change.Written with great clarity and conviction, Light of the Stars builds on the inspiring work of pioneering scientists such as Frank Drake and Carl Sagan, whose work at the dawn of the space age began building the new science of astrobiology; Jack James, the Texas-born engineer who drove NASA’s first planetary missions to success; Vladimir Vernadsky, the Russian geochemist who first envisioned the Earth’s biosphere; and James Lovelock and Lynn Margulis, who invented Gaia theory. Frank recounts the perilous journey NASA undertook across millions of miles of deep space to get its probes to Venus and Mars, yielding our first view of the cosmic laws of planets and climate that changed our understanding of our place in the universe.Thrilling science at the grandest of scales, Light of the Stars explores what may be the largest question of all: What can the likely presence of life on other worlds tell us about our own fate?

    It features all the great names in science, including Pythagoras, Galileo, Newton, Darwin, and Einstein, as well as more recent contributors such as Rachel Carson, James Lovelock, and Stephen Hawking.This little book presents serious science simply, answering questions like:What is Pythagorean Theorem? What is the difference between circadian rhythms and the popular concept of biorhythms? What is Hawking’s Black Hole Theory? Who developed the World Wide Web?