Softcover ISBN: | 978-0-8218-4232-4 |
Product Code: | CLN/13 |
List Price: | $34.00 |
MAA Member Price: | $30.60 |
AMS Member Price: | $27.20 |
eBook ISBN: | 978-1-4704-3113-6 |
Product Code: | CLN/13.E |
List Price: | $32.00 |
MAA Member Price: | $28.80 |
AMS Member Price: | $25.60 |
Softcover ISBN: | 978-0-8218-4232-4 |
eBook: ISBN: | 978-1-4704-3113-6 |
Product Code: | CLN/13.B |
List Price: | $66.00 $50.00 |
MAA Member Price: | $59.40 $45.00 |
AMS Member Price: | $52.80 $40.00 |
Softcover ISBN: | 978-0-8218-4232-4 |
Product Code: | CLN/13 |
List Price: | $34.00 |
MAA Member Price: | $30.60 |
AMS Member Price: | $27.20 |
eBook ISBN: | 978-1-4704-3113-6 |
Product Code: | CLN/13.E |
List Price: | $32.00 |
MAA Member Price: | $28.80 |
AMS Member Price: | $25.60 |
Softcover ISBN: | 978-0-8218-4232-4 |
eBook ISBN: | 978-1-4704-3113-6 |
Product Code: | CLN/13.B |
List Price: | $66.00 $50.00 |
MAA Member Price: | $59.40 $45.00 |
AMS Member Price: | $52.80 $40.00 |
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Book DetailsCourant Lecture NotesVolume: 13; 2006; 153 ppMSC: Primary 70; 74; 81; 82
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.
ReadershipAdvanced undergraduates, graduate students and research mathematicians interested in mechanics, mathematical physics, and applied probability.
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Table of Contents
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Chapters
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Chapter 1. Classical mechanics of discrete systems
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Chapter 2. Wave mechanics
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Chapter 3. Statistical mechanics
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Chapter 4. Quantum mechanics
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
Advanced undergraduates, graduate students and research mathematicians interested in mechanics, mathematical physics, and applied probability.
-
Chapters
-
Chapter 1. Classical mechanics of discrete systems
-
Chapter 2. Wave mechanics
-
Chapter 3. Statistical mechanics
-
Chapter 4. Quantum mechanics