The Geometry of Physics: An Introduction

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Where geometry unlocks the language of physics

This is the kind of book readers love for making intimidating mathematics feel purposeful and alive. It connects elegant geometric ideas directly to real physics, from relativity to gauge fields, so the abstractions never feel empty. If you enjoy deep, concept-rich learning and want a bridge between advanced math and modern physics, this can be an especially rewarding companion.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.

The Geometry of Physics: An Introduction

Regular price
Unit price
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Compare to estimated retail price: S$85.00  
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ISBN: 9780521387538
Authors: Theodore Frankel
Date of Publication: 1999-04-13
Format: Paperback
Related Collections: Science, Philosophy
Related Topics: Physics, Mathematics, Space, Theory, Education
Goodreads rating: 4.2
(rated by 59 readers)

Description

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.
 

Where geometry unlocks the language of physics

This is the kind of book readers love for making intimidating mathematics feel purposeful and alive. It connects elegant geometric ideas directly to real physics, from relativity to gauge fields, so the abstractions never feel empty. If you enjoy deep, concept-rich learning and want a bridge between advanced math and modern physics, this can be an especially rewarding companion.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.