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Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics
SPAR
kr 424
Smooth Manifolds and Fibre Bundles with Applications to Theoretical 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.

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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.

Produktdetaljer
Sprog: Engelsk
Sider: 641
ISBN-13: 9781498796712
Indbinding: Hardback
Udgave:
ISBN-10: 1498796710
Udg. Dato: 1 dec 2016
Længde: 42mm
Bredde: 242mm
Højde: 166mm
Oplagsdato: 1 dec 2016
Forfatter(e) Steinar Johannesen, Steinar (Oslo and Akershus University Johannesen


Kategori Differential- og Riemannsk geometri


Sprog Engelsk


Indbinding Hardback


Sider 641


Udgave


Længde 42mm


Bredde 242mm


Højde 166mm

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