Structure and Interpretation of Classical Mechanics, 2/e (dhl)

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.

我們現在知道，古典力學比以前所懷疑的要複雜得多。傳統力學教材所著重的運動方程推導只是開始。這本創新的教科書，現在已經出版第二版，專注於發展研究古典系統行為的一般方法，無論它們是否有符號解。它專注於運動現象，並在探索這個主題時廣泛使用電腦模擬。它將非線性動力學的最新發現融入整個文本，而不是將它們作為事後附加。通過探索混沌過渡、非線性共振和共振重疊等現象，幫助學生發展適當的分析工具以進行理解。該書使用計算來限制符號表示法，捕捉和形式化方法，並進行模擬和符號分析。要求計算機能夠解釋任何表達式，這為學生提供了關於表達式是否正確的嚴格和即時的反饋。

這第二版在整個書中進行了更新，反映了作者們在麻省理工學院每年使用該教材所獲得的見解。此外，由於軟件的大幅改進，這版提供了比上一版更一般的代數證明；這一改進貫穿於新版中。