Free Delivery Over $100
|
|
|||
|
||||
OverviewThis book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity. Written to be self-contained, this book provides complete and rigorous proofs of all the results presented within. Among the themes illustrated in the book are differentiable manifolds, differential forms, fiber bundles and differential geometry with non-trivial applications especially within the general theory of relativity. The emphasis is upon a systematic and logical construction of the mathematical foundations. It can be used as a textbook for a pure mathematics course in differential geometry, assuming the reader has a good understanding of basic analysis, linear algebra and point set topology. The book will also appeal to students of theoretical physics interested in the mathematical foundation of the theories. Full Product DetailsAuthor: Steinar Johannesen (Oslo and Akershus University, Norway)Publisher: Taylor & Francis Inc Imprint: Chapman & Hall/CRC Weight: 1.065kg ISBN: 9781498796712ISBN 10: 1498796710 Pages: 641 Publication Date: 01 December 2016 Audience: College/higher education , College/higher education , Undergraduate , Postgraduate, Research & Scholarly 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 ContentsIntroduction. Smooth manifolds and vector bundles. Vector fields and differential equations. Tensors. Differential forms. Integration on manifolds. Metric and symplectic structures. Lie groups. Group actions. Fibre bundles. Isometric immersions and the second fundamental form. Jet bundles. Appendix.ReviewsAuthor InformationBefore his retirement in 2014, Steinar Johannesen was an associate professor of mathematics at Oslo and Akershus University College of Applied Sciences, Norway Tab Content 6Author Website:Countries AvailableAll regions |
||||
