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题名/责任者:

The geometry of physics : an introduction / Theodore Frankel.

版本说明:

3rd ed.

出版发行项:

[上海 : 世界图书出版公司, 2016.]

ISBN:

9787519214715

载体形态项:

lxii, 686 p. : ill. ; 24 cm.

变异题名:

物理几何学导论

丛编说明:

物理学经典

个人责任者:

Frankel, Theodore, 1929-

论题主题:

Geometry, Differential.

论题主题:

Mathematical physics.

中图法分类号:

O411.1

一般附注:

Chinese title on cover.

书目附注:

Includes bibliographical references (p. 671-673) and index.

摘要附注:

"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 (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 the quark model for mesons. Before a discussion of 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. This book will be useful to graduate and advance undergraduate students of physics, engineering or mathematics. It can be used as a course text or for self-study. This third edition includes a new overview of Cartan's exterior differential forms. It previews many of the geometric concepts developed in the text and illustrates their applications to a single extended problem in engineering, namely the Cauchy stresses created by a small twist of an elastic cylindrical rod about its axis"--

原版附注:

Reprint.Originally published: Cambridge, UK ; New York : Cambridge University Press, 2012. 3rd ed. 9781107602601 (pbk.)

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