经典力学的结构与解释
Structure and Interpretation of Classical Mechanics
Gerald Jay Sussman、Jack Wisdom · 初版 2001 年
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为什么值得读
- 用 Scheme 语言实现计算机代数来消除歧义
- 配套开发了 scmutils 库以提高代码清晰度
- 揭示经典力学表面简单而极易推导错误的本质
这本教科书在 classical mechanics 教学中采用了一种创新方法，重点培养通用而实用的思维工具，以支持对 nonlinear Hamiltonian systems 的分析。内容的展开围绕对特定自然系统循序渐进的深入分析而组织，并将实例贯穿于讲解之中。对诸如 transitions to chaos、nonlinear resonances 以及 resonance overlap 等现象的探讨，有助于帮助学生掌握恰当的分析工具来进行理解。Computational algorithms 传达了用于
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计算机代数（Computer Algebra）的未被充分利用简直到了犯罪的地步——它有潜力让重度依赖数学的关键路径代码在设计上更加清晰、可测试、可观测且无 bug。我觉得必须提一下威斯登（Wisdom）和萨斯曼（Sussman）的《经典力学的结构与解释》（SICM），以及配套的“scmutils”库，它最早在 Scheme 中实现了许多相同的特性，尽管这个 Julia 库似乎更加完整。还有一个很棒的……
Computer Algebra is criminally underused - it has the potential to make math-heavy critical-path code a lot more clear, testable, observable and bug-free by design. I feel I need to mention "Structure and Interpretation of Classical Mechanics" by Wisdom and Sussman, and the accompanying "scmutils" library, which first implemented in Scheme many of the same features, although this Julia library seems to be more complete. There's also a great…
精神上很类似（但没有那么偏入门，而且专门针对力学）：萨斯曼和威斯登的《经典力学的结构与解释》（SICM）。整本书可以在这里在线阅读：https://mitpress.mit.edu/sites/default/files/titles/content/... 。（SICM 用的是 Scheme——那是必须的！——而这门课用的是 Haskell。SICM 是……
Similar in spirit (but not so introductory and specific to mechanics): Structure and Interpretation of Classical Mechanics, by Sussman and Wisdom. Whole book available online here: https://mitpress.mit.edu/sites/default/files/titles/content/... . (SICM uses Scheme -- of course! -- where this course uses Haskell. SICM is…
关于这种情况我最喜欢的例子出现在萨斯曼和阿贝尔森的《经典力学的结构与解释》序言中：https://mitpress.mit.edu/sites/default/files/titles/content/... “经典力学看似简单，实则不然。通过错误的推理或在没有真正……的情况下得出正确答案，容易得令人吃惊。”
My favorite example of this sort of thing is in the preface of Sussman and Abelson's "Structure and Interpretation of Classical Mechanics": https://mitpress.mit.edu/sites/default/files/titles/content/... "Classical mechanics is deceptively simple. It is surprisingly easy to get the right answer with fallacious reasoning or without real…
……这些年来我读过的很多物理书（虽然我现在是个 hacker，但我最初是个科学家……骨子里依然还是）。没有哪本特别突出，除了樱井（Sakurai）的《现代量子力学》，以及萨斯曼与威斯登的《经典力学的结构与解释》；《指环王》三部曲；角色扮演游戏手册，尤其是 D&D 第二版（我小时候它正好是最新版）。讲真，光是列出这个清单就让我想起……
…Many of the physics books I've read over the years (though now a hacker I be, I started as a scientist... still am at heart). Not one in particular, except maybe Modern Quantum Mechanics by Sakurai, and Structure and Interpretation of Classical Mechanics by Sussman & Wisdom The Lord of the Rings trilogy Role-playing game manuals, especially D&D 2nd edition (just the current edition at the time, when I was a kid) You know, just making this list reminds…
我最近也一直在自学物理。以下是我定下来的几本能很好入门经典力学的书：约翰·R·泰勒的《经典力学》；萨斯曼与威斯登的《经典力学的结构与解释》https://mitpress.mit.edu/books/structure-and-interpretation-... ；萨斯坎德的《理论最小值》（The Theoretical Minimum）https://theoreticalminimum.com/ ；大卫·J·莫林的《经典力学导论》
I've also been self-studying physics recently. Here are the books that I settled on as providing a good introduction to classical mechanics: Classical Mechanics - John R Taylor Structure and Interpretation of Classical Mechanics - Sussman & Wisdom https://mitpress.mit.edu/books/structure-and-interpretation-... The Theoretical Minimum - Susskind https://theoreticalminimum.com/ Introduction to Classical Mechanics - David J Morin
你可能会喜欢萨斯曼和威斯登写的《经典力学的结构与解释》。它使用了一个 MIT-Scheme 库来搞经典力学。Lean/mathlib 则是函数式编程与经典数学符号的结合。社区非常喜欢 unicode，带有……
You might like Structure and Interpretation of Classical Mechanics by Sussman and Wisdom. It does classical mechanics using an MIT-Scheme library. Lean/mathlib is a mix of functional programming and classical math notation. The community likes unicode quite a lot, with…