The Geometry of Physics: An Introduction

by Theodore Frankel

Theodore Frankel explains those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms essential to a better understanding of classical and modern physics and engineering. Key highlights of his new edition are the inclusion of three new appendices that cover symmetries, quarks, and meson masses; representations and hyperelastic bodies; and orbits and Morse-Bott Theory in compact Lie groups. Geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. First Edition Hb (1997): 0-521-38334-X First Edition Pb (1999): 0-521-38753-1

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

694 pages, Paperback

First published January 28, 1997

Reviews

[Robert]

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]

The overview chapter to the third edition is invaluable.

[Charles Keller]

A lot of math textbooks I have read so far fail to humanize math in such a way. This textbook has been invaluable in my studies, and it appears to be a book I will keep coming back too later.

[Toby Bartels]

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]

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