Structure and Interpretation of Classical Mechanics

Name: Structure and Interpretation of Classical Mechanics
Price: 36.44 USD
Availability: InStock
ISBN: 9780262194556

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.

Book details

List price: $84.00
Copyright year: 2001
Publisher: MIT Press
Publication date: 3/15/2001
Binding: Hardcover
Pages: 256
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