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Structure and Interpretation of Classical Mechanics

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ISBN-10: 0262194554

ISBN-13: 9780262194556

Edition: 2001

Authors: Gerald Jay Sussman, Jack Wisdom, Meinhard E. Mayer

List price: $84.00
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Description:

This textbook takes an alternative approcah to the study of classical mechanics, emphasising nonlinear dynamical systems and using computational methods to develop intellectual tools and express concepts precisely.
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Book details

List price: $84.00
Copyright year: 2001
Publisher: MIT Press
Publication date: 3/15/2001
Binding: Hardcover
Pages: 526
Size: 6.25" wide x 9.00" long x 1.25" tall
Weight: 2.244
Language: English

Gerald Jay Sussman is Panasonic Professor of Electrical Engineering at MIT. He is the coauthor (with Hal Abelson and Julie Sussman) of Structure and Interpretation of Computer Programs (MIT Press). Sussman and Wisdom are also coauthors of Functional Differential Geometry (MIT Press).

Contents
Preface
Acknowledgments
Lagrangian Mechanics
The Principle of Stationary Action
Configuration Spaces
Generalized Coordinates
Computing Actions
The Euler-Lagrange Equations
How to Find Lagrangians
Evolution of Dynamical State
Conserved Quantities
Abstraction of Path Functions
Constrained Motion
Rigid Bodies
Rotational Kinetic Energy
Kinematics of Rotation
Moments of Inertia
Inertia Tensor
Principal Moments of Inertia
Representation of the Angular Velocity Vector
Euler Angles
Vector Angular Momentum
Motion of a Free Rigid Body
Axisymmetric Tops
Spin-Orbit Coupling
Euler's Equations
Nonsingular Generalized Coordinates
Hamiltonian Mechanics
Hamilton's Equations
Poisson Brackets
One Degree of Freedom
Phase Space Reduction
Phase Space Evolution
Surfaces of Section
Exponential Divergence
Liouville's Theorem
Standard Map
Phase Space Structure
Emergence of the Divided Phase Space
Linear Stability
Homoclinic Tangle
Integrable Systems
Poincare-Birkhoff Theorem
Invariant Curves
Canonical Transformations
Point Transformations
General Canonical Transformations
Invariants of Canonical Transformations
Extended Phase Space
Reduced Phase Space
Generating Functions
Time Evolution Is Canonical
Hamilton-Jacobi Equation
Lie Transforms
Lie Series
Exponential Identities
Canonical Perturbation Theory
Perturbation Theory with Lie Series
Pendulum as a Perturbed Rotor
Many Degrees of Freedom
Nonlinear Resonance
Appendix: Scheme
Appendix: Our Notation
References
List of Exercises
Index