Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics (Hardcover)

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.

General

Imprint:	Productivity Press
Country of origin:	United States
Release date:	December 2016
First published:	2017
Authors:	Steinar Johannesen
Dimensions:	234 x 156 x 42mm (L x W x T)
Format:	Hardcover
Pages:	641
ISBN-13:	978-1-4987-9671-2
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	1-4987-9671-0
Barcode:	9781498796712

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