从一到无穷大
One, two, three ... infinity
George Gamow · 初版 1947 年
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为什么值得读
- 著名物理学家乔治·伽莫夫亲笔撰写
- 兼具趣味与启发性的数学入门引路书
- 广泛涵盖数学逻辑与自然科学重大假想
这本精彩的书介绍了数学与物理世界之间的关系。它以青少年或初涉该领域的读者易于理解的方式，解释了量子理论、相对论以及纯数学的基础要素。（对于许多后来注定成为工程师和物理学家的八年级学生来说，这本书令人眼界大开、大受启发！）
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引荐他去刷 Project Euler 吧。书单：（我童年和青少年时期美好的回忆）《The World of Mathematics》（Newman 编）Suzanne Langer 的《Symbolic Logic》波利亚的《How to Solve it》伽莫夫的《One, Two, Three, Infinity》柯朗和罗宾的《What is Mathematics》。
Point him at Project Euler. Books: (remembered fondly from my childhood & adolescence) The World of Mathematics (ed. Newman) Symbolic Logic by Suzanne Langer How to Solve it by Polya One, Two, Three, Infinity by Gamow What is Mathematics by Courant & Robbins.
给他找几本好看好玩的数学书。几个建议：乔治·伽莫夫的《从一到无穷大》。James Newman 编的《数学的世界》【全套四卷】，过几年还可以看看 Courant 和 Robbins 的《什么是数学》，以及 Suzanne Langer 的《符号逻辑》，全都是…
Get him some good interesting math books. A few suggestions: One, Two, Three, Infinity by George Gamow. The World of Mathematics [4 volume set] edited by James Newman and, perhaps in a few years, What Is Mathematics, by Courant and Robbins and Symbolic Logic, by Suzanne Langer all books…
……以及进一步探索数学的兴趣。这是一部极棒的文集，内容涵盖数学趣闻、谜题、数学家回忆录，甚至还有一篇奥尔德斯·赫胥黎写的感人至深的短篇小说。另外，伟大的物理学家乔治·伽莫夫写的《从一到无穷大》也是本极佳的入门书。强烈附议推荐《怎样解题》的那位。
…and an interest in exploring math further. It's a great collection ranging from mathematical curiousities and puzzles to memoirs of mathematicians to a very moving short story by Aldous Huxley. Also, One, Two, Three, Infinity by George Gamow (a great physicist) is a great intro. Second the How To Solve It recommendations.
……布莱森、布赖恩·格林、李·斯莫林和伦纳德·萨斯坎德的书，不过那些书都出得晚得多。但也都是好建议。那在 1980 年代我能读到什么眼前一亮的书呢？我之前提过乔治·伽莫夫的那本小册子：《从一到无穷大：科学的事实与猜想》。那时候卡尔·萨根的好多书已经能买到了。直接搜 Google 吧。艾萨克·阿西莫夫什么都写，不过他在《奇幻与科幻》（杂志）上的每月专栏随笔……
…Bryson, Brian Greene, Lee Smolin and Leonard Susskind books but they came quite a bit later. Good suggestions though. What stands out that I could read in the 1980s? I mentioned George Gamow's little book: One Two Three . . . Infinity: Facts and Speculations of Science. Many Carl Sagan books were available by then. Ask Google. Isaac Asimov wrote about everything, but his monthly essays in the Fantasy & Science Fiction (magazine)…
……David Macaulay 和 Neil Ardley 合著。这本书就像一本百科全书，从简单机械讲起，一路引导读者理解更复杂的技术。插图和图解都绝了。- 乔治·伽莫夫的《从一到无穷大》，这本书讲到了数学和科学里的好多话题！
…by David Macaulay and Neil Ardley This book is like an encyclopedia, starting from simple machines and guiding the reader to more complex technologies. The illustrations and diagrams are amazing. - One, Two, Three...Infinity by George Gamow This book talks about many topics in math and science!
很多年前，我是通过乔治·伽莫夫那本极棒的《从一到无穷大》了解到康托尔以及比较不同无穷大这个概念的。虽然书中大部分关于宇宙学和原子物理的内容可能已经过时（甚至现在看是错的），但关于数学和爱因斯坦相对论的章节读起来依旧妙趣横生。
I learned about Cantor and the concept of comparing infinities through George Gamow's excellent book, "One, Two, Three ... Infinity" many years ago. While most of the book's content on cosmology and atomic physics may be out of date (or now wrong), it's chapters on mathematics and Einstein's relativity are still a fun read.