
普林斯顿数学指南
The Princeton Companion to Mathematics
Timothy Gowers · 初版 2008 年
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为什么值得读
- 深度与广度被读者认为能比肩费曼
- 适合随手翻开一章便能享受阅读乐趣
- 包含关于数学语言与语法的优质入门内容
这是一本为所有对数学抱有浓厚兴趣的人打造的独一无二的参考书。由Fields Medal得主Timothy Gowers主编,汇集了由多位世界顶尖数学家特约撰写的近两百个词条,内容涵盖介绍基础数学工具与词汇;勾勒现代数学的发展脉络;解释核心术语与概念;剖析主流数学领域的核心思想;记述数十位著名数学家的卓越成就;探讨数学对生物学、金融学等其他学科的影响,以及
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另一本神书是从基础讲起、然后探索广泛数学主题的《普林斯顿数学指南》(The Princeton Companion to Mathematics):http://press.princeton.edu/titles/8350.html 随便翻开一页读起来都特别有意思。
Another great book, starting with the basics and then exploring a wide range of mathematical subjects, is The Princeton Companion to Mathematics: http://press.princeton.edu/titles/8350.html It's fun to just flip it open and start reading.
《普林斯顿数学指南》。
The Princeton Companion to Mathematics.
就深度和广度而言,普林斯顿指南系列已经很接近费曼讲义的水准了。[1][2] 更形式化的内容可以看各类手册。[3][4] [1] Gowers 等著,《普林斯顿数学指南》。https://press.princeton.edu/books/hardcover/9780691118802/th... [2] Higham 与 Dennis 著,《普林斯顿应用数学指南》。https://press.princeton.edu/books/hardcover/9780691150390/th...…
In terms of depth and breadth, the Princeton companions get close to Feynman.[1][2] A more formal approach appears in handbooks.[3][4] [1] Gowers et al., The Princeton Companion to Mathematics. https://press.princeton.edu/books/hardcover/9780691118802/th... [2] Higham and Dennis, The Princeton Companion to Applied Mathematics. https://press.princeton.edu/books/hardcover/9780691150390/th...…
我也觉得这几篇很有帮助:James Gowers 写的《数学的语言与语法》,出自《普林斯顿数学指南》:http://press.princeton.edu/chapters/gowers/gowers_I_2.pdf John Hamal Hubbard 写的《阅读数学》:http://www.math.cornell.edu/~hubbard/readingmath.pdf
I've also found these to be helpful: The Language and Grammar of Mathematics, from The Princeton Companion to Mathematics, by James Gowers: http://press.princeton.edu/chapters/gowers/gowers_I_2.pdf Reading Mathematics, by John Hamal Hubbard: http://www.math.cornell.edu/~hubbard/readingmath.pdf
…去自学。看网上的公开课。在 HN 上连珠炮似地向其他读者提问,问 Haskell、Lisp 宏或者任何东西。订阅一份《自然》杂志。或者硬啃高德纳(Knuth)的巨著、《普林斯顿数学指南》或是《细胞的分子生物学》。[1] 如果你有一份好工作、有朋友、有爱情,还有一个开源项目,不妨试着想想你可能已经既幸福又成功了。--- [1]…
…teach yourself. Watch lectures on the web. Pepper your fellow HN readers with questions about Haskell or Lisp macros or whatever. Buy a subscription to Nature. Or work your own way through Knuth or the Princeton Companion to Mathematics or The Molecular Biology of the Cell. [1] If you've got a good job and friends and romance and an open-source project, try to consider the possibility that you might be happy and successful. --- [1]…
这是本好书,不过我和其他人看法一致,想真正靠它学会东西会很难。如果你喜欢这本,另一本你可能会很爱读的书是《普林斯顿数学指南》。
This is a good book, although I agree with others that truly learning from it would be difficult. If you like this, another book you might really enjoy is the Princeton Companion to Mathematics.