Surreal Numbers

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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.

出版者:Addison Wesley
作者:[美] Donald Knuth
出品人:
页数:119
译者:
出版时间:1974-1-1
价格:GBP 18.99
装帧:Paperback
isbn号码:9780201038125
丛书系列:
图书标签:
  • 数学 
  • 计算机科学 
  • Math 
  • Knuth 
  • 小说 
  • 计算机 
  • Surreal 
  • Number 
  •  
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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.

具体描述

读后感

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~  

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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...  

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比较有趣的科学小品文,生动地演绎了一个数学公理体系构造数系的小故事,适合作为集合论的科普入门读物,故事挺有趣,数学方面的内容比较浅显。我其实更喜欢那个故事本身,写成小说发到起点上,他不香吗?手动狗头 “一对暧昧的异性友人,逃离尘世到海边生活,想要寻找人生的意...  

评分

比较有趣的科学小品文,生动地演绎了一个数学公理体系构造数系的小故事,适合作为集合论的科普入门读物,故事挺有趣,数学方面的内容比较浅显。我其实更喜欢那个故事本身,写成小说发到起点上,他不香吗?手动狗头 “一对暧昧的异性友人,逃离尘世到海边生活,想要寻找人生的意...  

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~  

用户评价

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!

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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。

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!

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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..."

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