物理学家用的数学方法

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• atondwal · 2013 年

  ……科学家与工程师高级数学方法》（Techniques: for Scientists and Engineers](http://www.amazon.com/Advanced-Mathematical-Techniques-Scien...)，而要想看更深入、但教学性稍弱（更偏向参考工具书）的，可以看 [Arfken 的《物理学家用数学方法 第七版：综合指南》（Mathematical Methods for Physicists, Seventh Edition: A Comprehensive Guide）](http://www.amazon.com/Mathematical-Methods-Physicists-Sevent...)。另外彭罗斯（Penrose）的任何作品往往面向外行受众，但很快就会建立起形式化体系……

  …Techniques: for Scientists and Engineers](http://www.amazon.com/Advanced-Mathematical-Techniques-Scien...) and for a much more indepth, but less pedagogically useful (more of a reference) [Arfken --- Mathematical Methods for Physicists, Seventh Edition: A Comprehensive Guide](http://www.amazon.com/Mathematical-Methods-Physicists-Sevent...) In addition anything by Penrose tends to target a lay audience, but quickly build up formalism…

• andrepd · 2015 年

  我也觉得讲得不太清楚。如果你想深入了解这方面，我推荐 Arfken 的《Mathematical Methods for Physicists》（物理数学方法），把它当作实用数学的圣经，或者一般的微积分可以看 Stewart 的《Calculus》。

  I don't think it was very clear either. If you want to learn more about this I like Arfken, Mathematical Methods for Physicists as a bible of practical mathematics, or Stewart, Calculus for calculus in general.

• elcritch · 2019 年

  你可以试试 Arfken 和 Weber 的《Mathematical Methods for Physicists》。这是物理学家常用的参考书。虽然它不侧重工程（或信号）应用，但既相当严谨，又足够精炼以供实际使用。网上好像有 pdf。

  You could try Arfken and Weber's "Mathematical Methods for Physicists". It's a common reference for Physicists. While it doesn't focus on engineering (or signal) applications, it's both fairly rigorous and succinct enough for practical use. Looks like there are pdf's online.

• griffzhowl · 2024 年

  ……不到 200 页就讲完了单变量微积分的基础，不像很多微积分入门书要大概 500 页。同样，他的《Calculus of Several Variables》（多变量微积分）大概 300 页，而不是 500 到 700 页。或者，一本类似 Riley、Hobson 和 Bence 合著的那种物理数学方法（mathematical methods for physicists）书可能也适合你。那本书厚得惊人（约 1300 页），但你可以挑你想学的章节来看，它是从基础逐步构建到一些相当高深……

  …basics of single variable calculus in less than 200 pages, instead of ~500 pages like many intro to calc books. Similarly his Calculus of Several Variables is ~300 pages instead of 500-700. Alternatively a mathematical methods for physicists book like the one by Riley, Hobson, and Bence might suit you. It's huge (~1300 pages), but you can pick out the chapters you want to learn from and it builds up from the basics to some quite sophisticated…

• andi999 · 2022 年

  理论物理学家用的数学大概比其他学科都多。通常学习使用数学的文献被称为“物理数学方法”（mathematical methods for physicists）。Arfken 写的书被很多人视为标准教材。你说的是类似这样的东西吗？

  Theoretical physicists use probably more math than other subjects. Generally the litarature to use math is called 'mathematical methods for physicists'. The book by Arfken is considered standard by many. Did you mean something like that?

• physcab · 2009 年

  ……在我们的教材（Bishop 那本）里。内容相当硬核且耗时。不过我是学物理出身的，所以数学只是体系不同，实际上甚至可能更容易。话说回来，我经常翻看我的《Mathematical Methods for Physicists》（Boas 版），复习一些线性代数技巧。最后，虽然论坛里大家都说烂了，但如果你只是对实现这些玩意儿感兴趣，一定要看看……

  …in our textbook (Bishop). It's pretty dense and time consuming. However, I come from a Physics background, so the math is just different, and may in fact be easier. However, I've been referencing my Mathematical Methods for Physicists book (Boas) pretty often to brush up on some linear algebra techniques. Lastly, its been said quite a bit in these forums, but if you are just interested in implementing this stuff, definitely check…

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