Structure and Interpretation of Classical Mechanics

Structure and Interpretation of Classical Mechanics

简介:

经典文本的新版本,专注于开发研究经典系统行为的通用方法,并广泛使用计算。我们现在知道,经典力学比以前怀疑的要多得多。运动方程的推导,传统力学表述的重点,仅仅是开始。这本创新的教科书,现在是第二版,专注于开发研究经典系统行为的一般方法,无论它们是否具有符号解决方案。它专注于运动现象,并在探索该主题时广泛使用计算机模拟。它在整个文本中编织了非线性动力学的最新发现,而不是将它们作为事后的想法呈现出来。探索诸如过渡到混沌,非线性共振和共振重叠等现象,以帮助学生开发适当的分析工具进行理解。本书使用计算来约束符号,捕获和形式化方法,以及模拟和符号分析。计算机能够解释任何表达式的要求为学生提供了关于表达式是否正确制定的严格和即时的反馈。第二版已经更新,修订反映了作者每年在麻省理工学院使用文本获得的见解。此外,由于软件的实质性改进,此版本提供了比以前版本更通用的代数证明; 这种改进渗透到新版本中。

英文简介:

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. 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.

书名
Structure and Interpretation of Classical Mechanics
译名
经典力学的结构和解释
语言
英语
年份
2000
页数
527页
大小
10.43 MB
下载
pdf iconStructure and Interpretation of Classical Mechanics.pdf
密码
65536

最后更新:2025-04-12 23:54:39

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