…<https://en.wikipedia.org/wiki/Heat_capacity#Negative_heat_ca...>. Detailed treatments of the non-relativistic case you can find in an undergrad astronomy textbook; the relativsitic singleton case ehhhhh I don't think you're ready for it but Wald's General Relativity §12.5 & §§14.3-14.4 would be a good choice (and he shows you the math, which has been known for several decades), and for relativistic orbits I think you need to go beyond textbooks (although you probably…
就像博文脚注里提到的那样，我认为 Gelfand 和 Fomin 的《Calculus of Variations》在这方面讲得非常清晰。Wald 的《General Relativity》啃起来很慢，但极其出色。量子力学或 QFT 领域不存在什么好教材；Weinberg 的《Quantum Theory of Fields》在这类书里大概算最不烂的了。Nielsen 和 Chuang 的《Quantum Computation…
As mentioned in a footnote in the blog post, I think Gelfand and Fomin’s “Calculus of Variations” is very clear on its topic. Wald's "General Relativity" is slow-going, but excellent. No good textbooks on quantum mechanics or QFT exist; Weinberg's "Quantum Theory of Fields" is probably the least terrible on that. Nielsen and Chuang's "Quantum Computation…
The post was also a poor explanation for someone doing modern physics. [edit: not true actually I should have read the rest of the post - it’s a good post] Wald's approach in General Relativity is much better - he treats Tensors as a multilinear map from vectors and dual vectors to scalars. He then derives the underlying coordinate transformaton rules, for the vector spaces used in differential…
The classic text is "Grativation" by Misner, Thorne, and Wheeler. It's very dense, but very thorough. The other classic is "General Relativity" by Wald. They don't really include the math background though, for that you need texts on multivariable calculus.
…or more modern references for Differential Geometry but I enjoyed Barrett O'Neills' book. https://www.elsevier.com/books/semi-riemannian-geometry-with... Also Misner-Thorne-Wheeler and Wald's book on General Relativity.
……<https://en.wikipedia.org/wiki/Heat_capacity#Negative_heat_ca...>。关于非相对论情形的详细讨论，你可以在本科天文学教材里找到；至于相对论性的单体系情形，呃……我觉得你还没准备好碰它，不过 Wald 的《General Relativity》第 12.5 节和第 14.3-14.4 节会是不错的选择（而且他给出了数学推导，这套数学工具其实已经存在好几十年了），而对于相对论轨道，我觉得你就得跳出教材的范畴了（虽然你可能……
…<https://en.wikipedia.org/wiki/Heat_capacity#Negative_heat_ca...>. Detailed treatments of the non-relativistic case you can find in an undergrad astronomy textbook; the relativsitic singleton case ehhhhh I don't think you're ready for it but Wald's General Relativity §12.5 & §§14.3-14.4 would be a good choice (and he shows you the math, which has been known for several decades), and for relativistic orbits I think you need to go beyond textbooks (although you probably…
就像博文脚注里提到的那样，我认为 Gelfand 和 Fomin 的《Calculus of Variations》在这方面讲得非常清晰。Wald 的《General Relativity》啃起来很慢，但极其出色。量子力学或 QFT 领域不存在什么好教材；Weinberg 的《Quantum Theory of Fields》在这类书里大概算最不烂的了。Nielsen 和 Chuang 的《Quantum Computation…
As mentioned in a footnote in the blog post, I think Gelfand and Fomin’s “Calculus of Variations” is very clear on its topic. Wald's "General Relativity" is slow-going, but excellent. No good textbooks on quantum mechanics or QFT exist; Weinberg's "Quantum Theory of Fields" is probably the least terrible on that. Nielsen and Chuang's "Quantum Computation…
Reddit 的 r/AskScience 推荐了 MTW 的《Gravitation》[1]、Wald 的《General Relativity》[2]，入门的话推荐 Sean Carroll 的广义相对论讲义 [3]。厚颜无耻地放上带返利的推广链接：[1] http://www.amazon.com/gp/product/0716703440/ref=as_li_qf_sp_... [2] http://rcm.amazon.com/e/cm?t=sdbo07-20&o=1&p=8&l...…
Reddit's r/AskScience recommended MTW's Gravitation[1], Wald's General Relativity[2], and, to begin, Sean Carroll's GR lecture notes[3]. Shameless affiliate links: [1] http://www.amazon.com/gp/product/0716703440/ref=as_li_qf_sp_... [2] http://rcm.amazon.com/e/cm?t=sdbo07-20&o=1&p=8&l...…
对于搞现代物理的人来说，这篇帖子的解释也不太行。[更新：其实说得不对，我应该把帖子剩下的部分读完的——其实写得很好] Wald 在《General Relativity》里的方法要好得多——他把张量视为从向量和对偶向量到标量的多重线性映射。然后他推导出了微分……中使用的向量空间的底层坐标变换规则。
The post was also a poor explanation for someone doing modern physics. [edit: not true actually I should have read the rest of the post - it’s a good post] Wald's approach in General Relativity is much better - he treats Tensors as a multilinear map from vectors and dual vectors to scalars. He then derives the underlying coordinate transformaton rules, for the vector spaces used in differential…
经典教材是 Misner、Thorne 和 Wheeler 写的《Gravitation》。内容非常硬核，但极其详尽。另一本经典是 Wald 的《General Relativity》。不过这两本书都没怎么交代数学背景，要补那个你得去看多元微积分的教材。
The classic text is "Grativation" by Misner, Thorne, and Wheeler. It's very dense, but very thorough. The other classic is "General Relativity" by Wald. They don't really include the math background though, for that you need texts on multivariable calculus.
……或者微分几何方面更现代的参考书，不过我挺喜欢 Barrett O'Neill 的书。https://www.elsevier.com/books/semi-riemannian-geometry-with... 还有 Misner-Thorne-Wheeler 以及 Wald 关于广义相对论的书。
…or more modern references for Differential Geometry but I enjoyed Barrett O'Neills' book. https://www.elsevier.com/books/semi-riemannian-geometry-with... Also Misner-Thorne-Wheeler and Wald's book on General Relativity.