图书标签: 数学 计算机科学 Math Knuth 小说 计算机 Surreal Number
发表于2024-07-06
Surreal Numbers pdf epub mobi txt 电子书 下载 2024
From the Back Cover
Nearly 30 years ago, John Horton Conway introduced a new way to construct numbers. Donald E. Knuth, in appreciation of this revolutionary system, took a week off from work on The Art of Computer Programming to write an introduction to Conway's method. Never content with the ordinary, Knuth wrote this introduction as a work of fiction--a novelette. If not a steamy romance, the book nonetheless shows how a young couple turned on to pure mathematics and found total happiness.
The book's primary aim, Knuth explains in a postscript, is not so much to teach Conway's theory as "to teach how one might go about developing such a theory." He continues: "Therefore, as the two characters in this book gradually explore and build up Conway's number system, I have recorded their false starts and frustrations as well as their good ideas. I wanted to give a reasonably faithful portrayal of the important principles, techniques, joys, passions, and philosophy of mathematics, so I wrote the story as I was actually doing the research myself."... It is an astonishing feat of legerdemain. An empty hat rests on a table made of a few axioms of standard set theory. Conway waves two simple rules in the air, then reaches into almost nothing and pulls out an infinitely rich tapestry of numbers that form a real and closed field. Every real number is surrounded by a host of new numbers that lie closer to it than any other "real" value does. The system is truly "surreal." quoted from Martin Gardner, Mathematical Magic Show, pp. 16--19
Surreal Numbers, now in its 13th printing, will appeal to anyone who might enjoy an engaging dialogue on abstract mathematical ideas, and who might wish to experience how new mathematics is created.
Donald E. Knuth is known throughout the world for his pioneering work on algorithms and programming techniques, for his invention of the Tex and Metafont systems for computer typesetting, and for his prolific and influential writing. Professor Emeritus of The Art of Computer Programming at Stanford University, he currently devotes full time to the completion of these fascicles and the seven volumes to which they belong.
虽然是大神写的。。。可是读了一半就读不下去了。不是很喜欢这种风格。。。
评分读起来不轻松。。。不过能和一个人擦出思想的火花一定是很美妙的一件事:) "There are infinitely many things yet to do...and only a finite amount of time..."
评分读起来不轻松。。。不过能和一个人擦出思想的火花一定是很美妙的一件事:) "There are infinitely many things yet to do...and only a finite amount of time..."
评分http://en.wikipedia.org/wiki/Surreal_number
评分对话体形式来讨论自然数这个基础,在此基础上定义了加法和乘法,非常的严谨,不过也很抽象比较难以理解,对人的挑战很大!
草读了一遍, 如果在读的时候, 能在纸上演绎, 推理,效果就更好了。 最好根据已知条件自己推敲一切。 这是一本关于, 逻辑演绎,归类,类比,推理,猜想,反证的书。
评分很有意思的一本书~推荐学数学和对数学有兴趣的童鞋们读读~书中关于数系、极限的论述通俗易懂又充满学术性,充分体现了逻辑的美感。 而对于对数学不感兴趣的童鞋也可以从这本书领略到数系的神奇,会对数学改观也说不定呢~
评分Winning Ways的汉译本早在2003年就由上海教育出版社出版了,名为《稳操胜券》。在后记中译者翻译成了“取胜之道”,可见译者似乎并不知道这本书有汉译。 给个链接: http://book.douban.com/subject/1082795/ (上册) http://book.douban.com/subject/1082797/ (下册) 本书...
评分推荐一份论文,对理解本书可能会有些帮助 An Introduction to Surreal Number http://www.whitman.edu/mathematics/SeniorProjectArchive/2012/Grimm.pdf 这份论文将 Surreal Number 书中 Alice 和 Bill 的结论用形式化的语言来描述和证明。形式化的证明虽然看起来不像小说一...
评分1. 译名初一看略标题党了,但看完书后觉得也算是贴切 2. 内容简介中有一句话:“本书可以看做是读懂<TAOCP>和<CMath>的钥匙" ——扯! 3. 这本书实在不能算成是一本小说,而且也不是十分有趣,所幸很短,正当我约莫有点不耐烦时,第16章就结束了,很好。 4. 翻译得挺好,几乎没...
Surreal Numbers pdf epub mobi txt 电子书 下载 2024