Structure And Interpretation Of Classical Mechanics

Hardcover | February 6, 2015

byGerald Jay Sussman

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We now know that there is much more to classical mechanics than previously suspected. Derivations of the equations of motion, the focus of traditional presentations of mechanics, are just the beginning. This innovative textbook, now in its second edition, concentrates on developing general methods for studying the behavior of classical systems, whether or not they have a symbolic solution. It focuses on the phenomenon of motion and makes extensive use of computer simulation in its explorations of the topic. It weaves recent discoveries in nonlinear dynamics throughout the text, rather than presenting them as an afterthought. Explorations of phenomena such as the transition to chaos, nonlinear resonances, and resonance overlap to help the student develop appropriate analytic tools for understanding. The book uses computation to constrain notation, to capture and formalize methods, and for simulation and symbolic analysis. The requirement that the computer be able to interpret any expression provides the student with strict and immediate feedback about whether an expression is correctly formulated.

This second edition has been updated throughout, with revisions that reflect insights gained by the authors from using the text every year at MIT. In addition, because of substantial software improvements, this edition provides algebraic proofs of more generality than those in the previous edition; this improvement permeates the new edition.

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We now know that there is much more to classical mechanics than previously suspected. Derivations of the equations of motion, the focus of traditional presentations of mechanics, are just the beginning. This innovative textbook, now in its second edition, concentrates on developing general methods for studying the behavior of classical...

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). Jack Wisdom is Professor of Planetary Science at MIT. Sussman and Wisdom are also coauthors of Functional Differential Geometry (MIT Pres...

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Format:HardcoverDimensions:584 pages, 9 × 6 × 1 inPublished:February 6, 2015Publisher:The MIT PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0262028964

ISBN - 13:9780262028967

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How can one write a new book on classical mechanics? Hasn't everything already been said? No! Things have changed. Now that there are computers, you can actually solve the equations of motion for interesting problems. Mathematical niceties are not the obsession of the authors, but rather to find out what happens, by a natural combination of mathematical argument and computer use. This new and effective approach should attract students to a subject which, since Newton, has constantly managed to rejuvenate itself. This second edition has kept the principles that made the value of the first, with a number of improvements concerning in particular computer-implemented methods.