物理与工程中的数学方法
Mathematical methods for physics and engineering
K. F. Riley、M. P. Hobson、S. J. Bence、Kenneth Franklin Riley · 初版 1997 年
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“这部广受赞誉的本科教材的第三版适合用于讲授任何物理科学专业本科课程的全部数学内容。除了对所有主题清晰透彻的阐述和大量例题外，书中还包含 800 多道习题。新增的独立章节系统阐述了物理科学中的 special functions，涵盖了复变函数更广泛的实际应用，并介绍了量子算符。此外还增添了与统计学和数值积分相关的图表。在这一版
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……入门课程的深度）。如果想要更全面、偏重计算方向的内容，我推荐两本神书：1. K.A. Stroud 的《Engineering Mathematics》 2. Riley、Hobson、Bence 合著的《Mathematical Methods for Physics and Engineering》。这两本书讲起内容来都非常注重动手实践和应用，虽然在理论深度上略有欠缺。但作为补充教材简直太有用了……
…the depth of an introductory course). For a more expansive coverage of the topics with a computational slant, there are two excellent books I'd recommend: 1. Engineering Mathematics by K.A. Stroud 2. Mathematical Methods for Physics and Engineering by Riley, Hobson, Bence Both of those will cover the topics in a very hands on, practice-oriented fashion, albeit with a bit of a departure from some of the theory. They're very helpful as a supplement…
学数学有这一本书就够了：Riley、Hobson、Bence 的《Mathematical Methods for Physics and Engineering: A Comprehensive Guide》。足足有 1300 页厚，但涵盖了你所需的一切。要是这还不够，你再去读 Cahill 的《Physical Mathematics》，它会讲到进阶内容，比如微分……
A single book is enough to learn mathematics: Riley, Hobson, Bence: Mathematical Methods for Physics and Engineering: A Comprehensive Guide It has a whopping 1300 pages, but it has everything you need. And if that is not enough for you get Cahill: Physical Mathematics This will give you advanced topics like differential…
……（面向物理和工程），这和数学家搞的那套完全是两个世界。我不确定你更喜欢哪种，但如果是前者，我建议去看看 Riley、Hobson 和 Bence 写的《Mathematical Methods for Physics and Engineering》的目录（可以在 Amazon 上预览）。它把所有知识点梳理得很好，基本就是你想要学习的先后顺序（少数几处除外）。不过我不觉得适合作为第一本入门书……
…(for physics and engineering), which is kind of another world from what mathematicians do. I'm not sure which you would prefer, but if it's the former I recommend checking out the table of contents from Mathematical Methods for Physics and Engineering by Riley, Hobson and Bence(can be viewed on amazon). It has a nice listing of all the topics, mostly in the order you'd want to study them (with a few exceptions). Doubt I'd recommend it as a first book…
我把我在 https://news.ycombinator.com/item?id=11274264 的评论再发一遍：“学数学有这一本书就够了：Riley、Hobson、Bence 的《Mathematical Methods for Physics and Engineering: A Comprehensive Guide》。足足有 1300 页厚，但涵盖了你所需的一切。要是这还不够，你再去读 Cahill 的《Physical Mathematics》，它会讲到进阶内容，比如微分……”
I repeat my comment from https://news.ycombinator.com/item?id=11274264 „A single book is enough to learn mathematics: Riley, Hobson, Bence: Mathematical Methods for Physics and Engineering: A Comprehensive Guide It has a whopping 1300 pages, but it has everything you need. And if that is not enough for you get Cahill: Physical Mathematics This will give you advanced topics like differential…
……那些。为此，我推荐以下几本：Jordan 和 Smith 的《Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences》——这本书非常通俗易懂；Riley、Hobson、Bence 的《Mathematical Methods for Physics and Engineering: A Comprehensive Guide》——比上一本更进阶；Altland 和 Delft 的《Mathematics for Physicists: Introductory Concepts and Methods》——涉及的内容……
…ones. To that end, i can recommend the following; Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences by Jordan and Smith - This book is really accessible. Mathematical Methods for Physics and Engineering: A Comprehensive Guide by Riley, Hobson, Bence - A more advanced coverage of topics than the one above. Mathematics for Physicists: Introductory Concepts and Methods by Altland and Delft - The coverage…
如果你宁愿花点钱买本现代书：Riley、Hobson、Bence 的《Mathematical Methods for Physics and Engineering: A Comprehensive Guide》。足足有 1300 页厚，但涵盖了你所需的一切。要是这还不够，你再去读 Cahill 的《Physical Mathematics》，它会讲到进阶内容，比如微分……
If you want to spend some money instead on a modern book: Riley, Hobson, Bence: Mathematical Methods for Physics and Engineering: A Comprehensive Guide It has a whopping 1300 pages, but it has everything you need. And if that is not enough for you get Cahill: Physical Mathematics This will give you advanced topics like differential…