1st Edition
Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics
By Steinar Johannesen
Copyright 2017
652 Pages
by
Chapman & Hall
651 Pages
56 B/W Illustrations
by
Chapman & Hall
651 Pages
56 B/W Illustrations
by
Chapman & Hall
Also available as eBook on:
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... Read more
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.
Biography
Before his retirement in 2014, Steinar Johannesen was an associate professor of mathematics at Oslo and Akershus University College of Applied Sciences, Norway
