Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics

Steinar Johannesen (Oslo and Akershus University, Norway)

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Hardback

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English

Productivity Press
01 December 2016

Mathematics & Sciences; Differential & Riemannian geometry; Mathematical physics

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: Productivity Press
Country of Publication: United States
Dimensions: Height: 234mm, Width: 156mm,
Weight: 1.065kg
ISBN: 9781498796712
ISBN 10: 1498796710
Pages: 651
Publication Date: 01 December 2016
Audience: College/higher education , College/higher education , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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