Brief Introduction to Classical, Statistical, and Quantum Mechanics

Buhler, Oliver

ISBN 10: 0821842323 / ISBN 13: 9780821842324

Published by American Mathematical Society, 2006

About this Item

2006. Paperback. 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. Series: Courant Lecture Notes. Num Pages: 153 pages, Illustrations. BIC Classification: PBW; PHFC; PHP; PHQ; PHS. Category: (P) Professional & Vocational. Dimension: 253 x 175 x 10. Weight in Grams: 300. . . . . .

Seller Inventory # V9780821842324

Bibliographic Details

• Title: Brief Introduction to Classical, Statistical, and Quantum Mechanics
• Publisher: American Mathematical Society
• Publication Date: 2006
• Language: English
• ISBN 10: 0821842323
• ISBN 13: 9780821842324
• Binding: Soft cover
• Condition: New

About this title

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.