✦ LIBER ✦

The geometry of physics: an introduction

✍ Scribed by Theodore Frankel

Book ID: 127418633
Publisher: Cambridge University Press
Year: 2001
Tongue: English
Weight: 8 MB
Edition: First Edition
Category: Library
ISBN: 052138334X

No coin nor oath required. For personal study only.

✦ Synopsis

This book is intended to provide 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 essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism, thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space; consequently, the book should also be of interest to mathematics students. This book will be useful to graduate and advanced undergraduate students of physics, engineering and mathematics. It can be used as a course text or for self study.

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