Maudlin explains special relativity using a geometrical approach, emphasizing intrinsic space-time structure rather than coordinate systems or reference frames. He gives readers enough detail about special relativity to solve concrete physical problems while presenting general relativity in a more qualitative way, with an informative discussion of the geometrization of gravity, the bending of light, and black holes. Additional topics include the Twins Paradox, the physical aspects of the Lorentz-FitzGerald contraction, the constancy of the speed of light, time travel, the direction of time, and more.Introduces nonphysicists to the philosophical foundations of space-time theoryProvides a broad historical overview, from Aristotle to EinsteinExplains special relativity geometrically, emphasizing the intrinsic structure of space-timeCovers the Twins Paradox, Galilean relativity, time travel, and moreRequires only basic algebra and no formal knowledge of physicsTim Maudlin is professor of philosophy at New York University. His books include The Metaphysics within Physics and Quantum Non-Locality and Relativity.

    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

    Filled with data about the Earth, Moon, the planets, the stars, our Galaxy, and the myriad galaxies in deep space, it also reveals the latest scientific discoveries about black holes, quasars, and the origins of the Universe. Written by a premier astronomy expert, this book begins with a discussion of the Sun, from sunspots to solar eclipses. It then features over 100 tables on characteristics of the Moon, and the names, positions, sizes, and other key descriptors of all the planets and their satellites. The book tabulates solar and lunar eclipse, comets, close-approach asteroids, and significant meteor showers dates. Twenty-four maps show the surface features of the planets and their moons. The author then looks to the stars, their distances and movements, and their detailed classification and evolution. Forty-eight star charts cover both northern and southern hemispheres, enabling you to track down and name the main stars in all the constellations. The maps are supported by detailed tables of the names, positions, magnitudes, and spectra of the main stars in each constellation, along with key data on galaxies, nebulae, and clusters. There is a useful catalogue of the world's great telescopes and observatories, a history of astronomy and of space research, and biographies of 250 astronomers who have been most influential in developing the current understanding of the subject.

    The rest is known as dark matter and dark energy, because their precise identities are unknown. "The Cosmic Cocktail" is the inside story of the epic quest to solve one of the most compelling enigmas of modern science--what is the universe made of?--told by one of today's foremost pioneers in the study of dark matter.Blending cutting-edge science with her own behind-the-scenes insights as a leading researcher in the field, acclaimed theoretical physicist Katherine Freese recounts the hunt for dark matter, from the discoveries of visionary scientists like Fritz Zwicky--the Swiss astronomer who coined the term "dark matter" in 1933--to the deluge of data today from underground laboratories, satellites in space, and the Large Hadron Collider. Theorists contend that dark matter consists of fundamental particles known as WIMPs, or weakly interacting massive particles. Billions of them pass through our bodies every second without us even realizing it, yet their gravitational pull is capable of whirling stars and gas at breakneck speeds around the centers of galaxies, and bending light from distant bright objects. Freese describes the larger-than-life characters and clashing personalities behind the race to identify these elusive particles.Many cosmologists believe we are on the verge of solving the mystery. "The Cosmic Cocktail" provides the foundation needed to fully fathom this epochal moment in humankind's quest to understand the universe.

    Written by one of the world's leading experimental cosmologists, this short but deeply insightful book describes what scientists are revealing through precise measurements of the faint thermal afterglow of the Big Bang--known as the cosmic microwave background, or CMB--and how their findings are transforming our view of the cosmos.Blending the latest findings in cosmology with essential concepts from physics, Lyman Page first helps readers to grasp the sheer enormity of the universe, explaining how to understand the history of its formation and evolution in space and time. Then he sheds light on how spatial variations in the CMB formed, how they reveal the age, size, and geometry of the universe, and how they offer a blueprint for the formation of cosmic structure.Not only does Page explain current observations and measurements, he describes how they can be woven together into a unified picture to form the Standard Model of Cosmology. Yet much remains unknown, and this incisive book also describes the search for ever deeper knowledge at the field's frontiers--from quests to understand the nature of neutrinos and dark energy to investigations into the physics of the very early universe.

    They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..

    Over the years their textbooks have introduced significant theoretical and pedagogical innovations in statics, dynamics, and mechanics of materials education. At the same time, their careful presentation of content, unmatched levels of accuracy, and attention to detail have made their texts the standard for excellence. The new Seventh Edition of Vector Mechanics for Engineers: Statics and Dynamics continues this tradition. The seventh edition is complemented by a media and supplement package that is targeted to address core course needs for both the student and the instructor.

    Starting once again with fossils, he turns his gaze skyward, showing us how the entirety of the universe’s fourteen-billion-year history can be seen in our bodies. As he moves from our very molecular composition (a result of stellar events at the origin of our solar system) through the workings of our eyes, Shubin makes clear how the evolution of the cosmos has profoundly marked our own bodies. Fully illustrated with black and white drawings.

    Written by two of the field's true pioneers, Spacetime Physics can extend and enhance coverage of specialty relativity in the classroom. This thoroughly up-to-date, highly accessible overview covers microgravity, collider accelerators, satellite probes, neutron detectors, radioastronomy, and pulsars.  The chapter on general relativity with new material on gravity waves, black holes, and cosmology.

    One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

    Based on a course of lectures delivered by the author at Columbia University, the text is elementary in treatment and remarkable for its clarity and organization. Although it is assumed that the reader is familiar with the fundamental facts of thermometry and calorimetry, no advanced mathematics beyond calculus is assumed.Partial contents: thermodynamic systems, the first law of thermodynamics (application, adiabatic transformations), the second law of thermodynamics (Carnot cycle, absolute thermodynamic temperature, thermal engines), the entropy (properties of cycles, entropy of a system whose states can be represented on a (V, p) diagram, Clapeyron and Van der Waals equations), thermodynamic potentials (free energy, thermodynamic potential at constant pressure, the phase rule, thermodynamics of the reversible electric cell), gaseous reactions (chemical equilibria in gases, Van't Hoff reaction box, another proof of the equation of gaseous equilibria, principle of Le Chatelier), the thermodynamics of dilute solutions (osmotic pressure, chemical equilibria in solutions, the distribution of a solute between 2 phases vapor pressure, boiling and freezing points), the entropy constant (Nernst's theorem, thermal ionization of a gas, thermionic effect, etc.).

    The book includes built-in, perforated Practice Tests that students can use for self-study or hand in for a grade. Framing its content within a resonant politics matters theme and emphasizing public policy throughout, Government in America illustrates the impact that government has on the daily lives of each and every American, motivating students to become active participants in all aspects of our political system, and helping overcome the #1 challenge instructors face in this course -- student apathy toward American Government. The Brief Study Edition includes test questions for each chapter bound in at the end of the book.

    Historical records are first found in Babylon and Egypt, and after two millennia the arithmetical astronomy of the Babylonians merged with the Greek geometrical approach to culminate in the Almagest of Ptolemy. This legacy was transmitted to the Latin West via Islam, and led to Copernicus's claim that the Earth is in motion. In justifying this Kepler converted astronomy into a branch of dynamics, leading to Newton's universal law of gravity. The book concludes with eighteenth- and nineteenth-century applications of Newton's law, and the first explorations of the universe of stars.

    Yet this is now an established scientific fact. In The Universe Next Door, science writer Marcus Chown examines a dozen mind-bending new ideas that also fly in the face of reason--but that, according to eminent scientists, might just be crazy enough to be true. Could time run backwards? Is there a fifth dimension? Does quantum theory promise immortality? To explore these questions, Chown has interviewed some of the most imaginative and courageous people working at the forefront of science, and he has come away with a smorgasbord of mind-expanding ideas. For instance, Lawrence Schulman at New York's Clarkson University believes there could be regions in our Universe where stars unexplode, eggs unbreak and living things grow younger with every passing second. Max Tegmark, at the University of Pennsylvania, believes there could be an infinity of realities stacked together like the pages of a never-ending book (with an infinite number of versions of you, living out an infinite number of different lives). And David Stevenson of Cal Tech argues that life may exist on worlds drifting in the cold, dark abyss between the stars, worlds without suns to warm them. Indeed, these worlds may be the most common sites for life in the universe. Was our universe created by super-intelligent beings from another universe? Is there evidence of extraterrestrial life lying right beneath our feet? The Universe Next Door ponders these and many other thought-provoking questions. You may not agree with all the answers but your head will be spinning by the time you reach the last page.

    Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra.