Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics

Steinar Johannesen (Autor)

Buch | Softcover

652 Seiten

2020
Chapman & Hall/CRC (Verlag)
978-0-367-65825-0 (ISBN)

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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.

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

Introduction. 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.

Erscheinungsdatum	01.10.2020
Sprache	englisch
Maße	156 x 234 mm
Gewicht	1210 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Biologie
	Naturwissenschaften ► Physik / Astronomie
ISBN-10	0-367-65825-9 / 0367658259
ISBN-13	978-0-367-65825-0 / 9780367658250
Zustand	Neuware