Structure and Interpretation of Classical Mechanics by Gerald Jay SussmanThis 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 overlaps 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.
Piet Hut: Book Review of Structure and Interpretation of Classical Mechanics
The new edition of a classic text that concentrates on developing general methods for studying the behavior of classical systems, with extensive use of computation. 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.
To better serve you, please log in to your instructor account. We now know that there is much more to classical mechanics than previously suspected.
This is the first book I have come across that explains classical mechanics using the variational principle in such a way that there are no ambiguities in either the presentation or the notation. The resultant leap toward clarity and precision is likely to influence a new generation of physics students, opening their eyes to the beauty of classical mechanics. Quite likely, some of these students will be inspired to find newer and deeper interpretations of classical mechanics. In turn, such deeper insight may well lead to a deeper understanding of quantum mechanics. After all, classical mechanics is only a limiting case of quantum mechanics, and the variational principle is the main bridge between the two.
GitHub is home to over 40 million developers working together to host and review code, manage projects, and build software together. If nothing happens, download GitHub Desktop and try again. If nothing happens, download Xcode and try again. If nothing happens, download the GitHub extension for Visual Studio and try again. Structure and Interpretation of Classical Mechanics is a book by Gerald Jay Sussman and Jack Wisdom that aims to explain classical mechanics using the variational principle with no ambiguity. It does this by ensuring that every mathematical expression in the book is in one-to-one correspondence with an equivalent expression written in computer code. And computer code is nothing if not precise and unambiguous.
The first edition was published by MIT Press in , and a second edition was released in The book is used at the Massachusetts Institute of Technology to teach a class in advanced classical mechanics, starting with Lagrange's equations and proceeding through canonical perturbation theory. SICM explains some physical phenomena by showing computer programs for simulating them. Classical mechanics is deceptively simple. It is surprisingly easy to get the right answer with fallacious reasoning or without the real understanding.