普林斯顿应用数学指南
The Princeton Companion to Applied Mathematics
Nicholas J. Higham、Paul Glendinning、Paul A. Martinez · 初版 2015 年
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为什么值得读
- 提供现代数学百科全书式的广阔知识视野
- 适合作为查阅陌生前沿数学领域的实用参考
- 体量庞大且结构灵活，读上一成便大有斩获
这是关于 applied mathematics 最具权威性且通俗易懂的单卷本参考书。本书收录了顶尖专家撰写的大量条目并按主题编排，向读者介绍了 applied mathematics 及其用途；阐释了关键概念；描述了重要问题、定律和函数；关注了令人兴奋的研究领域；涵盖了建模与仿真；探讨了应用领域等内容。本书仿照广受好评的 The Princeton Companion to Mathematics 编写，是本科生、研究生、研究人员以及其他领域从业者不可或缺的参考资料
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……而且不专门局限于布尔巴基学派的作品；* Aleksandrov、Kolmogorov、Lavrentev 著《数学：它的内容，方法和意义》（Mathematics: Its Content, Methods and Meaning） * Timothy Gowers 等人著《普林斯顿数学指南》（The Princeton Companion to Mathematics） * Higham 等人著《普林斯顿应用数学指南》（The Princeton Companion to Applied Mathematics）
…and not specifically Bourbaki authored; * Mathematics: Its Content, Methods and Meaning by Aleksandrov, Kolmogorov, Lavrentev * The Princeton Companion to Mathematics by Timothy Gowers et al. * The Princeton Companion to Applied Mathematics by Higham et al.
……如果你想了解所有那些新鲜出炉的数学，最稳妥的选择是：a)《普林斯顿数学指南》（The Princeton Companion to Mathematics）- https://www.amazon.com/Princeton-Companion-Mathematics-Timot... b)《普林斯顿应用数学指南》（The Princeton Companion to Applied Mathematics）- https://www.amazon.com/Princeton-Companion-Applied-Mathemati... 我有一个很重要的建议，就是一定要适应数学中使用的各种符号、记号（notation）和形式体系（formalism）。大多数……
…if you would like to learn about all the new-fangled mathematics your best bets are; a) The Princeton Companion to Mathematics - https://www.amazon.com/Princeton-Companion-Mathematics-Timot... b) The Princeton Companion to Applied Mathematics - https://www.amazon.com/Princeton-Companion-Applied-Mathemati... One important piece of advice that i have is to become comfortable with the Symbols, Notation and Formalism used in Mathematics. Most…
……不过你可能会觉得下面这些挺有用：* 要想对现代数学中那些你甚至都不知道存在的各个领域做个入门（以及作为参考书），《普林斯顿数学指南》和《普林斯顿应用数学指南》是必读之作。* Thomas Garrity 的《All the Math You Missed: (But Need to Know for Graduate School)》——一份全景综述，非常适合作为教材的补充。* Kolmogorov 等人的《数学：它的内容，方法和意义》……
…but you might find the following useful; * For an introduction (and a reference) to various areas of Modern Mathematics that one didn't even know existed, The Princeton Companion to Mathematics and The Princeton Companion to Applied Mathematics are a must. * All the Math You Missed: (But Need to Know for Graduate School) by Thomas Garrity - A survey and a good adjunct to a textbook. * Mathematics: Its Content, Methods and Meaning by Kolmogorov…
……这能让你纵览数学的全貌。不过，你可能会觉得下面这些（虽然严格来说不算教材）很有用。1) Timothy Gowers 等人的《普林斯顿数学指南》和 Nicholas Higham 等人的《普林斯顿应用数学指南》——这是你所能找到的最接近现代数学百科全书的东西。你能获得无与伦比的广度，之后便可以按需深入去读专门的书籍。绝对物超所值。2)……
…which can give you the overall sweep of Mathematics. However, you might find the following (though not textbooks per se) useful. 1) The Princeton Companion to Mathematics by Timothy Gowers et al. and The Princeton Companion to Applied Mathematics by Nicholas Higham et al. - The closest you have to a Modern Encyclopedia of Mathematics. You get unmatched breadth after which you can move on to dedicated books as needed. Well worth the money. 2)…
……关于努力不去想气候变化，以及人会不会对世界末日感到无聊。干货很多（包括去参加了一场气候否定论者的会议），就是有点啰嗦。《普林斯顿应用数学指南》（The Princeton Companion to Applied Mathematics），哪怕我只读了 10% 也值回票价了，里面有太多值得浅尝深入的内容。《天文学家与女巫》（The Astronomer and the Witch），讲开普勒如何奋力拯救母亲免遭迫害。
…about trying not to think about climate change and whether it's possible to be bored by the end of the world. Lots of good info (including a visit to a climate deniers conference), bit long winded. "The Princeton Companion to Applied Mathematics". If I read only 10% still worth it. Lots of things to dip into. "The Astronomer and the Witch" Kepler fights to save his mother from persecution.
感谢分享链接。作者是《普林斯顿应用数学指南》的编者之一，这本书的编写质量也极高，我会推荐给任何对数学和工程感兴趣的人。我也觉得这篇文章有瑕疵：广告很烦人，语法也……
Thanks for the link. The author is an editor of the Princeton Companion to Applied Mathematics, which also contains very high quality writing and a book I recommend to anyone interested in mathematics and engineering. I agree that this is a flawed article: the ads are irritating, the grammar is…