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Item Details
Title: A BRIEF INTRODUCTION TO CLASSICAL, STATISTICAL, AND QUANTUM MECHANICS
By: Oliver Buhler
Format: Paperback

List price: £29.95


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ISBN 10: 0821842323
ISBN 13: 9780821842324
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 October, 2006
Edition: UK ed.
Series: Courant Lecture Notes No. 13
Pages: 153
Description: Presents an overview of the basic methods and concepts in mechanics of applied mathematics or related fields. This book introduces Newton's law, action principles, Hamilton-Jacobi theory, geometric wave theory, analytical and numerical statistical mechanics, discrete and continuous quantum mechanics, and quantum path-integral methods.
Synopsis: This book provides a rapid overview of the basic methods and concepts in mechanics for beginning Ph.D. students and advanced undergraduates in applied mathematics or related fields. It is based on a graduate course given in 2006-07 at the Courant Institute of Mathematical Sciences. Among other topics, the book introduces Newton's law, action principles, Hamilton-Jacobi theory, geometric wave theory, analytical and numerical statistical mechanics, discrete and continuous quantum mechanics, and quantum path-integral methods. The focus is on fundamental mathematical methods that provide connections between seemingly unrelated subjects.There is an example is Hamilton-Jacobi theory, which appears in the calculus of variations, in Fermat's principle of classical mechanics, and in the geometric theory of dispersive wavetrains. The material is developed in a sequence of simple examples and the book can be used in a one-semester class on classical, statistical, and quantum mechanics. Some familiarity with differential equations is required but otherwise the book is self-contained. In particular, no previous knowledge of physics is assumed.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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