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Analytical Mechanics

Analytical Mechanics

Analytical Mechanics

Louis N. Hand, Cornell University, New York
Janet D. Finch, Cornell University, New York
November 1998
Available
Paperback
9780521575720

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    Analytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many 'e-mail questions', which are intended to facilitate dialogue between the student and instructor. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.

    • Written at a level that bridges a gap between undergraduate and graduate physics classical mechanics courses
    • Introduces chaos theory with simple physical examples
    • Includes many worked examples and 250 homework exercises

    Reviews & endorsements

    "...meets its goal to present the material of analytical mechanics as required in the education of physicists and is recommended for this purpose. The material is presented in a clear way, and it stimulates interest in the subject among others by interjected historical material." Applied Mechanics Review

    "Very modern treatment/selection of topics. Unifying approach (ties to quantum mechanics)." Professor Gary Bowman, Northern Arizona University

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    Product details

    November 1998
    Hardback
    9780521573276
    592 pages
    261 × 184 × 28 mm
    1.09kg
    219 b/w illus. 26 tables 250 exercises
    Available

    Table of Contents

    • 1. Lagrangian mechanics
    • 2. Variational calculus and its application to mechanics
    • 3. Linear oscillators
    • 4. One dimensional systems: central forces and the Kepler problem
    • 5. Noether's theorem and Hamiltonian dynamics
    • 6. Theoretical mechanics: from canonical transformations to action-angle variables
    • 7. Rotating coordinate systems
    • 8. The dynamics of rigid bodies
    • 9. The theory of small vibrations
    • 10. Approximate solutions to non-analytic problems
    • 11. Chaotic dynamics
    • 12. Special relativity.
      Authors
    • Louis N. Hand , Cornell University, New York
    • Janet D. Finch , Cornell University, New York