Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics

Steinar Johannesen (Oslo and Akershus University, Norway)

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English

CRC Press
30 September 2020

Mathematics & Sciences; Geometry; Applied mathematics; Mathematical physics; Life sciences: general issues

This 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.

By: Steinar Johannesen (Oslo and Akershus University Norway)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 898g
ISBN: 9780367658250
ISBN 10: 0367658259
Pages: 641
Publication Date: 30 September 2020
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

Before his retirement in 2014, Steinar Johannesen was an associate professor of mathematics at Oslo and Akershus University College of Applied Sciences, Norway