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The geometry of physics : = an intro...

Frankel, Theodore, (1929-.)

The geometry of physics : = an introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The geometry of physics :/ Theodore Frankel.
其他題名:	an introduction /
作者:	Frankel, Theodore,
出版者:	Cambridge ;Cambridge University Press, : 2012.,
面頁冊數:	lxii, 686 p. :ill. ; : 25 cm.;
標題:	Geometry, Differential. -
ISBN:	9781107602601 (pbk.) :

The geometry of physics : = an introduction /
Frankel, Theodore,1929-.

The geometry of physics :an introduction /Theodore Frankel. - 3rd ed. - Cambridge ;Cambridge University Press,2012. - lxii, 686 p. :ill. ;25 cm.

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

"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"--

ISBN: 9781107602601 (pbk.) :NT1934

LCCN: 2011027890Subjects--Topical Terms:

527830
Geometry, Differential.

LC Class. No.: QC20.7.D52 / F73 2012

Dewey Class. No.: 530.15/636

The geometry of physics : = an introduction /
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020 $a 9781107602601 (pbk.) : $c NT1934
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050 0 0 $a QC20.7.D52 $b F73 2012
082 0 0 $a 530.15/636 $2 23
100 1 $a Frankel, Theodore, $d 1929-. $3 925688
245 1 4 $a The geometry of physics : $b an introduction / $c Theodore Frankel.
250 $a 3rd ed.
260 # $a Cambridge ; $a New York : $c 2012. $b Cambridge University Press,
300 $a lxii, 686 p. : $b ill. ; $c 25 cm.
504 $a Includes bibliographical references (p. 671-673) and index.
520 # $a "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"-- $c Provided by publisher.
650 # 0 $a Geometry, Differential. $3 527830
650 # 0 $a Mathematical physics. $3 527831