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.
发表于2025-03-16
Surreal Numbers 2025 pdf epub mobi 电子书
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...
评分看过英文版的,这本书从另一个新的便于常人理解的角度研究了数系的产生和发展,摆脱了以往数学的繁琐和逻辑化,而改用平常的语言,通俗的对话体作为阐述方式,让数系、极限等系统的知识贯穿于全书。并且告诉我们一些无法用语言描述的道理,很值得一看。。。
图书标签: 数学 计算机科学 Math Knuth 小说 计算机 Surreal Number
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.
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the ultimate geek tool
评分http://en.wikipedia.org/wiki/Surreal_number
评分数学证明看得好累,没看出他跟计算机科学的关系,研究之美这思想还是不错的
评分第一口气读完了1-3章,第二口气读完了剩余部分;不推公式也很好看。
Surreal Numbers 2025 pdf epub mobi 电子书