The Geometry of Physics: An Introduction

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Cambridge University Press, 2004 - Всего страниц: 694
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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 essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), 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, quarks, and quark model for mesons. 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 be of interest also to mathematics students. Ideal for graduate and advanced undergraduate students of physics, engineering and mathematics as a course text or for self study.

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Review: The Geometry of Physics: An Introduction

Пользовательский отзыв  - Dave - Goodreads

I really like the exposition in this book. Читать весь отзыв

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Об авторе (2004)

Frankel received his Ph.D. from the University of California, Berkeley. He is currently emeritus professor of mathematics at the University of California, San Diego.

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