Structure and Interpretation of Classical Mechanics

Sussman, Gerald Jay (Author)

ISBN 10: 0262194554 / ISBN 13: 9780262194556

Editore: The MIT Press, 2001

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Book has light wear to the edges and corners with light rubbing to covers, leaving it in great condition. Well-bound with bright pages that are crisp and unmarked. Codice articolo 981985

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Titolo: Structure and Interpretation of Classical ...

Casa editrice: The MIT Press

Data di pubblicazione: 2001

Legatura: Hardcover

Condizione: Very Good

Descrizione articolo

Riassunto:

This textbook takes an innovative approach to the teaching of classical mechanics, emphasizing the development of general but practical intellectual tools to support the analysis of nonlinear Hamiltonian systems. The development is organized around a progressively more sophisticated analysis of particular natural systems and weaves examples throughout the presentation. Explorations of phenomena such as transitions to chaos, nonlinear resonances, and resonance overlap to help the student to develop appropriate analytic tools for understanding. Computational algorithms communicate methods used in the analysis of dynamical phenomena. Expressing the methods of mechanics in a computer language forces them to be unambiguous and computationally effective. Once formalized as a procedure, a mathematical idea also becomes a tool that can be used directly to compute results.The student actively explores the motion of systems through computer simulation and experiment. This active exploration is extended to the mathematics. The requirement that the computer be able to interpret any expression provides strict and immediate feedback as to whether an expression is correctly formulated. The interaction with the computer uncovers and corrects many deficiencies in understanding.

L'autore:

Jack Wisdom is Breene M. Kerr Professor of Planetary Science in the Department of Earth, Atmospheric, and Planetary Sciences, Massachusetts Institute of Technology.