Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics

Steinar Johannesen

© 2017 - Chapman and Hall/CRC
Published December 1, 2016
Reference - 641 Pages - 56 B/W Illustrations
ISBN 9781498796712 - CAT# K30400

For Instructors Request Inspection Copy

was $105.00

USD$84.00

SAVE ~$21.00

Add to Wish List
FREE Standard Shipping!

Features

  • Presents the fundamental theory of differentiable manifolds, including the tangent bundle, global flows for vector fields, tensor bundles, differential forms, Frobenius’ theorem for distributions, integration on manifolds and Stokes’ theorem
  • Gives a systematic introduction to metrical structures in vector bundles and pseudo-Riemannian manifolds
  • Contains the theory of Lie groups and group actions
  • Describes fiber bundles and differential geometry which is the foundation for the general theory of relativity.

Summary

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, Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics 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.

Instructors

We provide complimentary e-inspection copies of primary textbooks to instructors considering our books for course adoption.

Request an
e-inspection copy

Share this Title