现代数学物理教程
A Course in Modern Mathematical Physics
Peter Szekeres · 初版 2000 年
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本书介绍了当今物理学中使用的主要数学结构。它涵盖了群论、李代数、拓扑学、希尔伯特空间和微分几何等课题所需的概念和技巧。诸如经典力学和量子力学、热力学、狭义相对论和广义相对论等重要物理理论也得到了详尽的阐述，并以恰当的数学语言呈现。本书适合数学物理、理论物理以及应用数学专业的高年级本科生和低年级研究生阅读。它
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如果你愿意拓展到那些属于“对找工作毫无帮助，但能丰富个人体验”的领域，那么我的第一推荐永远是彼得·塞克雷斯（Peter Szekeres）的《现代数学物理教程》（A Course in Modern Mathematical Physics）。这本书在约 1000 页里压缩了极多内容，而且你读起来完全不会觉得中途漏掉了什么。如果你想找类似但更简短的内容，大卫·唐（David Tong）的讲义也能让你收获颇丰，不过……
If you're willing to branch out into stuff that falls into the "not going to get you hired, but enriching personal experiences" bucket, then my number one recommendation will always be 'A Course in Modern Mathematical Physics' by Peter Szekeres. The book compresses so much into ~1000 pages without feeling like you're missing anything as you go. You can get a lot from the David Tong lectures if you want something similar but…
……时间。祝好运。[0] 斯特劳德/布斯（Stroud/Booth）的《工程数学》（Engineering Mathematics）https://www.amazon.com/Engineering-Mathematics-K-Stroud/dp/0... https://www.amazon.com/Advanced-Engineering-Mathematics-Kenn... [1] 彼得·塞克雷斯（Peter Szekeres）的《现代数学物理教程：群论、希尔伯特空间与微分几何》（A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry）https://www.amazon.com/Course-Modern-Mathematical-Physics-Di... [2] 理查德·哈马克（Richard Hammack）的《证明之书》（Book of Proof）https://www.people.vcu.edu/~rhammack/BookOfProof/…
…time. Good Luck. [0] Engineering Mathematics by Stroud/Booth https://www.amazon.com/Engineering-Mathematics-K-Stroud/dp/0... https://www.amazon.com/Advanced-Engineering-Mathematics-Kenn... [1] A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry by Peter Szekers https://www.amazon.com/Course-Modern-Mathematical-Physics-Di... [2] Book of Proof by Richard Hammack https://www.people.vcu.edu/~rhammack/BookOfProof/…
如果你想从数学背景切入物理学，我强烈推荐彼得·塞克雷斯的书《现代数学物理教程》（A Course in Modern Mathematical Physics）http://www.amazon.co.uk/gp/aw/d/0521829607/ref=redir_mdp_mob...
If you want to approach physics from a mathematical background I strongly recommend Peter Szekeres' book 'A Course in Modern Mathematical Physics' http://www.amazon.co.uk/gp/aw/d/0521829607/ref=redir_mdp_mob...
彼得·塞克雷斯的《现代数学物理教程：群论、希尔伯特空间与微分几何》。我的抽象数学入门书……涵盖面极广，写得非常清晰，结构也极好。集合、群、向量空间、张量……
A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry by Peter Szekeres My intro to abstract math... Wide range of topics, very clearly written and very well structured. Sets, groups, vector spaces, tensors,…
彼得·塞克雷斯的《现代数学物理教程：群论、希尔伯特空间与微分几何》前面有几章专门讲线性代数，从集合和群讲起，还包含了张量（张量绝对是你必需掌握的，为了……
"A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry" by Peter Szekeres has several chapters on linear algebra early on, starting with sets and groups and including tensors (which you absolutely need for…