Einstein's general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity in the formalism of Minkowski's four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein field equation and cosmology. The author presents the subject from the very beginning with an emphasis on physical examples and simple applications without the full tensor apparatus. One first learns how to describe curved spacetime. At this mathematically more accessible level, the reader can already study the many interesting phenomena such as gravitational lensing, precession of Mercury's perihelion, black holes, as well as cosmology. The full tensor formulation is presented later, when the Einstein equation is solved for a few symmetric cases. Many modern topics in cosmology are discussed in this book: from inflation, cosmic microwave anisotropy to the "dark energy" that propels an accelerating universe. Mathematical accessibility, together with the various pedagogical devices (e.g., worked-out solutions of chapter-end problems), make it practical for interested readers to use the book to study general relativity and cosmology on their own.
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This book represents a basic introduction to the theories of special and general relativity with applcations to cosmology. It is methodically very carefully developed: almost all necessary mathematical items are introduced at the point when they first appear, and they are also explained in words. Every chapter ends with a list of problems useful e.g. as student exercises. Also that modern developments like gravitational lenses and vacuum energy are covered. Hans-Jurgen Schmidt (Potsfam), Zentralblatt Math Volume 1082 (2006/08)About the Author:
Ta-Pei Cheng is currently Emeritus Professor of Physics at the University of Missouri - St. Louis. He took his Ph.D. at Rockefeller University in 1969, followed by post-doctoral study at Rockefeller University and at the Institute for Advanced Study (Princeton). He has been on the faculty of University of Missouri - St. Louis from 1973 to the present day, and was elected a Fellow of the American Physical Society in 1982.
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Descrizione libro Oxford University Press, USA, 2005. Hardcover. Condizione libro: New. Codice libro della libreria DADAX0198529562
Descrizione libro Oxford University Press, 2005. Hardcover. Condizione libro: New. New item. Codice libro della libreria QX-244-26-5657105