000 02368nam a22001937a 4500
005 20220916143305.0
008 200122b ||||| |||| 00| 0 eng d
020 _a9780262028967
040 _cTata Book House
050 _aQC 125.2
100 _aSussman, Gerald Jay; Wisdom, Jack
245 _aStructure and interpretation of classical mechanics
250 _a2nd
260 _aLondon
_bMIT Press
_c2015
300 _a580 p
505 _a1. Lagrangian mechanics; 2. Rigid bodies; 3. Hamiltonian mechanics; 4. Phase space structure; 5. Canonical transformations; 6. Canonical evolution; 7. Canonical perturbation theory; 8. Appendix: scheme; 9. Appendix: our notation;
520 _aThe 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. 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." -- Publisher's description.
942 _2lcc
_cBK
999 _c3020
_d3020