变分法

Calculus of Variations

Israel M. Gel'fand、Sergei Vasil'evic Fomin · 初版 2012 年

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  • 正如博文脚注里提到的,我觉得盖尔范德和福明的《Calculus of Variations》(变分法)把该讲的主题讲得非常清楚。沃尔德的《General Relativity》(广义相对论)读起来比较吃力,但写得极好。量子力学或 QFT 根本就没什么好教材;温伯格的《Quantum Theory of Fields》大概是最不……

    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…

  • 本科时我上过一门研究生课,用的是盖尔范德和福明的《Calculus of Variations》[0],那门课深入探讨了经典力学的数学原理,但默认学生已经掌握了相关的物理知识。我当时没正经上过经典力学课,啃这本……

    In undergrad I took a graduate class out of Calculus of Variations by Gelfand and Fomin [0] that went deep into the math of classical mechanics but assumed students already knew the relevant physics. I hadn't taken a proper classical mechanics class, and working through…

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