**Courant Lecture Notes**

Volume: 13;
2006;
153 pp;
Softcover

MSC: Primary 70; 74; 81; 82;

Print ISBN: 978-0-8218-4232-4

Product Code: CLN/13

List Price: $32.00

AMS Member Price: $25.60

MAA Member Price: $28.80

**Electronic ISBN: 978-1-4704-3113-6
Product Code: CLN/13.E**

List Price: $32.00

AMS Member Price: $25.60

MAA Member Price: $28.80

#### Supplemental Materials

# A Brief Introduction to Classical, Statistical, and Quantum Mechanics

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*Oliver Bühler*

A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University

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. 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.

Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

#### Readership

Advanced undergraduates, graduate students and research mathematicians interested in mechanics, mathematical physics, and applied probability.