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OverviewDifferential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity. The book contains two intertwined but distinct halves. Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of ""index gymnastics"" as much as possible. The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity. Full Product DetailsAuthor: Tevian DrayPublisher: Taylor & Francis Inc Imprint: A K Peters Dimensions: Width: 15.20cm , Height: 1.80cm , Length: 22.90cm Weight: 0.770kg ISBN: 9781466510005ISBN 10: 1466510005 Pages: 321 Publication Date: 20 October 2014 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Tertiary & Higher Education Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsIt took Einstein eight years to create General Relativity by carefully balancing his physical intuition and the rather tedious mathematical formalism at his disposal. Tevian Dray's presentation of the geometry of General Relativity in the elegant language of differential forms offers even beginners a novel and direct route to a deep understanding of the theory's core concepts and applications, from the geometry of black holes to cosmological models. -Jurgen Renn, Director, Max Planck Institute for the History of Science, Berlin This is a brilliant book. Dray has an extraordinary knack of conveying the key mathematics and concepts with an elegant economy that rivals the expositions of the legendary Paul Dirac. It is pure pleasure to see far-reaching results emerge effortlessly from easy-to-follow arguments, and for simple examples to morph into generalizations. It is so refreshing to find a book that does not obscure the basics with unnecessary technicalities, yet can develop sophisticated formalism from very modest mathematical investments. -Paul Davies, Regents' Professor and Director, Beyond Center for Fundamental Concepts in Science; Co-Director, Cosmology Initiative; and Principal Investigator, Center for the Convergence of Physical Science and Cancer Biology, Arizona State University It took Einstein eight years to create General Relativity by carefully balancing his physical intuition and the rather tedious mathematical formalism at his disposal. Tevian Dray's presentation of the geometry of General Relativity in the elegant language of differential forms offers even beginners a novel and direct route to a deep understanding of the theory's core concepts and applications, from the geometry of black holes to cosmological models. -Jurgen Renn, Director, Max Planck Institute for the History of Science, Berlin This is a brilliant book. Dray has an extraordinary knack of conveying the key mathematics and concepts with an elegant economy that rivals the expositions of the legendary Paul Dirac. It is pure pleasure to see far-reaching results emerge effortlessly from easy-to-follow arguments, and for simple examples to morph into generalizations. It is so refreshing to find a book that does not obscure the basics with unnecessary technicalities, yet can develop sophisticated formalism from very modest mathematical investments. -Paul Davies, Regents' Professor and Director, Beyond Center for Fundamental Concepts in Science; Co-Director, Cosmology Initiative; and Principal Investigator, Center for the Convergence of Physical Science and Cancer Biology, Arizona State University It took Einstein eight years to create general relativity by carefully balancing his physical intuition and the rather tedious mathematical formalism at his disposal. Tevian Dray's presentation of the geometry of general relativity in the elegant language of differential forms offers even beginners a novel and direct route to a deep understanding of the theory's core concepts and applications, from the geometry of black holes to cosmological models. -Jurgen Renn, Director, Max Planck Institute for the History of Science, Berlin Author InformationTevian Dray Tab Content 6Author Website:Countries AvailableAll regions |
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