Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics
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Smooth Manifolds and Fibre Bundles with Applications to Theoretical...
Author: Johannesen, Steinar
Brand: TAYLOR AND FRANCIS BOOKS INDIA PRIVATE LIMITED
Edition: 1
Binding: Paperback
Number of Pages: 652
Release Date: 01-12-2020
EAN: 9781032507156
Languages: English
About the Book:
This comprehensive book provides a systematic and rigorous presentation of the mathematical foundation of modern physics, with particular applications to classical mechanics and the theory of relativity. Written to be self-contained, it offers complete and detailed proofs of all the results presented.
Key themes explored include differentiable manifolds, differential forms, fiber bundles, and differential geometry, with applications especially relevant to the general theory of relativity. The book places a strong emphasis on the logical and systematic construction of the mathematical foundations, making it suitable for students with a solid background in basic analysis, linear algebra, and point-set topology.
This book can be used as a textbook for courses in differential geometry and will also appeal to students of theoretical physics who are interested in the mathematical underpinnings of their field.
