Structure and Interpretation of Classical Mechanics, 2/e (dhl)
暫譯: 古典力學的結構與詮釋,第二版
Gerald Jay Sussman, Jack Wisdom
- 出版商: MIT
- 出版日期: 2015-02-13
- 售價: $3,800
- 貴賓價: 9.5 折 $3,610
- 語言: 英文
- 頁數: 578
- 裝訂: Hardcover
- ISBN: 0262028964
- ISBN-13: 9780262028967
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相關分類:
工程數學 Engineering-mathematics
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商品描述
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.
商品描述(中文翻譯)
我們現在知道,經典力學的內容遠比之前所懷疑的要豐富得多。運動方程的推導,這是傳統力學介紹的重點,只是開始而已。這本創新的教科書,現在已經進入第二版,專注於發展研究經典系統行為的一般方法,無論它們是否有符號解。它著重於運動現象,並在探索主題時廣泛使用計算機模擬。它將非線性動力學的最新發現貫穿於文本中,而不是將其作為附帶內容來呈現。對於混沌過渡、非線性共振和共振重疊等現象的探索,幫助學生發展適當的分析工具以便理解。這本書使用計算來約束符號,捕捉和形式化方法,以及進行模擬和符號分析。要求計算機能夠解釋任何表達式,為學生提供了嚴格且即時的反饋,以判斷表達式是否正確構造。
這第二版在整體上進行了更新,修訂反映了作者每年在麻省理工學院使用該文本所獲得的見解。此外,由於軟體的重大改進,本版提供了比前一版更具一般性的代數證明;這一改進貫穿於新版本中。
