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A Brief Introduction to Classical, Statistical, and Quantum Mechanics
 
Oliver Bühler New York University, Courant Institute, New York, NY
A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
A Brief Introduction to Classical, Statistical, and Quantum Mechanics
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
A Brief Introduction to Classical, Statistical, and Quantum Mechanics
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A Brief Introduction to Classical, Statistical, and Quantum Mechanics
Oliver Bühler New York University, Courant Institute, New York, NY
A co-publication of the AMS and Courant Institute of Mathematical Sciences at New York University
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
  • Book Details
     
     
    Courant Lecture Notes
    Volume: 132006; 153 pp
    MSC: 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.

    Readership

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

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Classical mechanics of discrete systems
    • Chapter 2. Wave mechanics
    • Chapter 3. Statistical mechanics
    • Chapter 4. Quantum mechanics
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 132006; 153 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.