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.
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.
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2016/09/14) 高德纳之作,《计算机程序设计艺术》的作者,IEEE先驱奖,ACM图灵奖得主。 从一系列基本事实或定义出发,通过若干明确的规则,推导出有价值的结论。 本书从2条基本的事实,推导出所有的数,以及计算法则。 本书作者笔力很深,并且译者笔力亦是,翻译的东西信达之...
评分草读了一遍, 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 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...
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!
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!
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!
评分虽然是大神写的。。。可是读了一半就读不下去了。不是很喜欢这种风格。。。
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