The Geometry of Physics: An Introduction

by Theodore Frankel

This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles, and Chern forms that are helpful for a deeper understanding of both classical and modern physics and engineering. It is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study.

A main addition introduced in this Third Edition is the inclusion of an Overview, which can be read before starting the text. This appears at the beginning of the text, before Chapter 1. Many of the geometric concepts developed in the text are previewed here and these are illustrated by their applications to a single extended problem in engineering, namely the study of the Cauchy stresses created by a small twist of an elastic cylindrical rod about its axis.

Genres: Physics, Mathematics, Science, Geometry, Textbooks, Nonfiction, Reference

748 pages, Paperback

First published January 28, 1997

Reviews

[Robert · Rating 5 out of 5]

This is my favorite book on mathematical physics. We used the pre-published edition in graduate school. I bought the first edition as soon as it came out. Super book for anyone who wants to learn about the mathematics used in Physics, from the point of view of a mathematician.

[Ryan · Rating 5 out of 5]

The overview chapter to the third edition is invaluable.

[Toby Bartels · Rating 5 out of 5]

If you wish to apply geometry to physics, then you must read this book. There is no alternative. This is the material that matters —any other approach is deficient. There is no better exposition than in this text. Yes, it is hard going; there is a lot to learn, and there is even more to unlearn. But you must read it.

[Dave]

I really like the exposition in this book.

[Joe Cole · Rating 5 out of 5]

Frankel did a great job with this book. A mathematician can enjoy this book even though it is mathematical physics. The mathematics is presented in very nice form.

[Zudar Zulfiqar]

goood as hell , thank you