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More copies of this ISBNOther titles in the Springer Undergraduate Mathematics series:
General Relativity (Springer Undergraduate Mathematics)by N. M. J. Woodhouse
Synopses & ReviewsPublisher Comments:Based on a course given at Oxford over many years, this book is a short and concise exposition of the central ideas of general relativity. Although the original audience was made up of mathematics students, the focus is on the chain of reasoning that leads to the relativistic theory from the analysis of distance and time measurements in the presence of gravity, rather than on the underlying mathematical structure. The geometric ideas  which are central to the understanding of the nature of gravity  are introduced in parallel with the development of the theory, the emphasis being on laying bare how one is led to pseudoRiemannian geometry through a natural process of reconciliation of special relativity with the equivalence principle. At centre stage are the "local inertial coordinates" set up by an observer in free fall, in which special relativity is valid over short times and distances. In more practical terms, the book is a sequel to the author's Special Relativity in the same series, with some overlap in the treatment of tensors. The basic theory is presented using techniques, such as phaseplane analysis, that will already be familiar to mathematics undergraduates, and numerous problems, of varying levels of difficulty, are provided to test understanding. The latter chapters include the theoretical background to contemporary observational tests  in particular the detection of gravitational waves and the verification of the LensThirring precession  and some introductory cosmology, to tempt the reader to further study. While primarily designed as an introduction for finalyear undergraduates and firstyear postgraduates in mathematics, the book is also accessible to physicists who would like to see a more mathematical approach to the ideas.
Synopsis:Based on a course taught for years at Oxford, this book offers a concise exposition of the central ideas of general relativity. The focus is on the chain of reasoning that leads to the relativistic theory from the analysis of distance and time measurements in the presence of gravity, rather than on the underlying mathematical structure. Includes links to recent developments, including theoretical work and observational evidence, to encourage further study.
Synopsis:Based on a course given at Oxford over many years, this book is a short and concise exposition of the central ideas of general relativity. Although the original audience was made up of mathematics students, the focus is on the chain of reasoning that leads to the relativistic theory from the analysis of distance and time measurements in the presence of gravity, rather than on the underlying mathematical structure. The geometric ideas  which are central to the understanding of the nature of gravity  are introduced in parallel with the development of the theory, the emphasis being on laying bare how one is led to pseudoRiemannian geometry through a natural process of reconciliation of special relativity with the equivalence principle. At centre stage are the local inertial coordinates set up by an observer in free fall, in which special relativity is valid over short times and distances. In more practical terms, the book is a sequel to the author's Special Relativity in the same series, with some overlap in the treatment of tensors. The basic theory is presented using techniques, such as phaseplane analysis, that will already be familiar to mathematics undergraduates, and numerous problems, of varying levels of difficulty, are provided to test understanding. The latter chapters include the theoretical background to contemporary observational tests  in particular the detection of gravitational waves and the verification of the LensThirring precession  and some introductory cosmology, to tempt the reader to further study. While primarily designed as an introduction for finalyear undergraduates and firstyear postgraduates in mathematics, the book is also accessible to physicistswho would like to see a more mathematical approach to the ideas.
About the AuthorNick Woodhouse is an experienced researcher in GR with an international reputation.
Table of ContentsNewtonian Gravity. Inertial Coordinates and Tensors. EnergyMomentum Tensors. Curved SpaceTime. Tensor Calculus. Einstein's Equation. Spherical Symmetry. Orbits in the Schwarzschild SpaceTime. Black Holes. Rotating Bodies. Gravitational Waves. Redshift and Horizons. Notes on the Exercises. Further Problems. Bibliography. Index.
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