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:
頁數:119
译者:
出版時間:1974-1-1
價格:GBP 18.99
裝幀:Paperback
isbn號碼:9780201038125
叢書系列:
圖書標籤:
  • 數學 
  • 計算機科學 
  • Math 
  • Knuth 
  • 小說 
  • 計算機 
  • 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.

具體描述

讀後感

評分

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。  

評分

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。  

評分

我看这里的留言,包括书评和笔记没一个人说明白这本书到底讲了个什么,到底什么思路,整体脉络到底是什么的问题,总在扯些没用的,所以我决定留言在这里。 这本书是这样,英文名应该叫 超现实的数,其实就是说一种数论吧,原文是这样写的 他们两个发现石碑后,觉得这应该是一...  

評分

确实是好东西,很值得一看,个人认为出彩的部分是译者对作者意思的精准把握,确实是传神之作。 第 25 页“如果成立的话,那我就会将 (Y, phi) (此处 phi 表示空集)称为“正”数”,之后又发现此中 Y 必须满足其中至少一个元素大于或相似于 0,只要满足了这个条件,它就成被称...  

評分

哲学是人类文明初期最早而且是唯一的学科。在古希腊,哲学"Φιλοσοφία" (philo-sophia)一词是由“Philo”和“Sophia”组成,前者意为感情和爱,后者意为理性和智慧。在古希腊智者的心中,哲学是研究感性和理性平衡的学问。数学是哲学中最重要的一部分,是最早从哲学...  

用戶評價

评分

對話體形式來討論自然數這個基礎,在此基礎上定義瞭加法和乘法,非常的嚴謹,不過也很抽象比較難以理解,對人的挑戰很大!

评分

對話體形式來討論自然數這個基礎,在此基礎上定義瞭加法和乘法,非常的嚴謹,不過也很抽象比較難以理解,對人的挑戰很大!

评分

讀起來不輕鬆。。。不過能和一個人擦齣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

第一口氣讀完瞭1-3章,第二口氣讀完瞭剩餘部分;不推公式也很好看。

评分

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