如何写数学
How To Write Mathematics
Norman Earl Steenrod、Paul R. Halmos、Max M. Schiffer、Jean Alexandre Dieudonné · 初版 1973 年
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为什么值得读
- 指导写作者向他人清晰传达复杂的数学推理与构思
- 提供实用规范让数学学术论文读起来不再痛苦
- 展现著名数学家公认的高水平清晰阐述方法
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How To Write Mathematics
Norman Earl Steenrod、Paul R. Halmos、Max M. Schiffer、Jean Alexandre Dieudonné · 初版 1973 年
正在加载完整评论……
这是 Kevin P. Lee 写的一份非常实用的指南，面向的是修读数学课程的本科生。另一份类似的指南面向撰写研究论文的人，是保罗·哈尔莫斯（Paul Halmos）1970 年写的《怎样写数学》（How to Write Mathematics）[1]。他们都是从一个类似的假设出发的：Lee 说：“在数学课上写论文时，你的目标是把数学推理和想法清晰地传达给另一个人……
This is a sensible guide, by Kevin P. Lee, aimed at undergraduates taking math classes. A similar guide, aimed at people writing research papers, is “How to Write Mathematics” by Paul Halmos (1970) [1]. They both start from a similar assumption: Lee: “When you write a paper in a math class, your goal will be to communicate mathematical reasoning and ideas clearly to another…
已故数学家保罗·哈尔莫斯以文笔清晰著称，他的文章《怎样写数学》http://www.math.uga.edu/~azoff/courses/halmos.pdf 提出了一套让数学论文读起来没那么痛苦的写作规范。
The article "How to Write Mathematics" http://www.math.uga.edu/~azoff/courses/halmos.pdf by the late Paul Halmos, a mathematician famous for his clarity of writing, suggests procedures for making mathematical papers less painful to read.
……像保罗·哈尔莫斯这样的作者作为优秀的数学阐述者受尽推崇是理所应当的，比如看他的书《朴素集合论》、《有限维向量空间》、《测度论》等，以及他的阐述性文章《怎样写数学》和《怎样讲数学》：[PDF] http://www.math.uh.edu/~tomforde/Books/Halmos-How-To-Write.p... http://www.math.northwestern.edu/graduate/Forum/HALMOS.html，都收录在他的阐述性作品选集（Selecta）中……
…authors like Paul Halmos are rightly celebrated as great expositors, e.g. see his books like Naive Set Theory, Finite Dimensional Vector Spaces, Measure Theory etc. and his expository writing such as "How to Write Mathematics" and "How to Talk Mathematics": [PDF] http://www.math.uh.edu/~tomforde/Books/Halmos-How-To-Write.p... http://www.math.northwestern.edu/graduate/Forum/HALMOS.html collected in his Selecta of expository…
对想看更多哈尔莫斯作品的人来说，他的书《我要做数学家：一部数学自传》很值得一读。另外塞尔的《如何把数学写得很烂》（How to write mathematics badly）也非常值得一看：https://www.youtube.com/watch?v=ECQyFzzBHlo
For anyone looking for more of Halmos, his book "I want to be a mathematician: an automathography" is worth a look. Also well worth a look is Serre's "How to write mathematics badly": https://www.youtube.com/watch?v=ECQyFzzBHlo
……后者能慢放/倍速，就算只跳过几秒钟，你都不知道自己错过了什么。你会丢掉文本天生具有的那种空间方位感。顺便提一句：这里提一下哈尔莫斯那本《怎样写数学》可能挺合适的。
…the latter can be slowed down/sped up, you don’t know what you miss by skipping even just a few seconds ahead. You loose this spatial orientation that is a given for texts. EDIT: Mentioning Halmos’s How To Write Mathematics book is probably a good fit here.
有两份资料在我写毕业论文时对提高写作水平帮了大忙，一本是保罗·R·哈尔莫斯的《怎样写数学》，另一本是唐纳德·E·高德纳等人的《数学写作》（Mathematical Writing）。我一般都先看哈尔莫斯，借此进入追求清晰、精准沟通的状态。那些“差/较好/合格”的建议……
Two resources which helped me improving my writing, when I was writing my thesis were "How to Write Mathematics" by Paul R. Halmos and "Mathematical Writing" by Donald E. Knuth et al. I would always start with Halmos to get into the spirit of perusing clear and precise communication. The "Bad/Better/OK" suggestions…