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

非常不错的一本书,如果你想学习怎么让爱情保鲜,如果你想学习如何在平淡的生活中保持激情,或者你只是对学术感兴趣,对创新思维感兴趣,对数学感兴趣,或者你只是想更多地了解高德纳,这本书都值得一看 力荐 ----- 大多数人可能更多从学术方面来看。其实我觉得这本书带给读...  

評分

《研究之美》这本书,讲述了一对情侣一次偶然地遇到了一些记有各种不认识的符号的石头,并通过研究这些符号之间的关系,从而发现了一种新理论的故事。这种理论,从书的前言可以知道,称为 Conway 的超实数理论。 此书是斯坦福大学的非常有名的高德纳教授所写。在大二时候,我...  

評分

《研究之美》这本书,讲述了一对情侣一次偶然地遇到了一些记有各种不认识的符号的石头,并通过研究这些符号之间的关系,从而发现了一种新理论的故事。这种理论,从书的前言可以知道,称为 Conway 的超实数理论。 此书是斯坦福大学的非常有名的高德纳教授所写。在大二时候,我...  

評分

《研究之美》这本书,讲述了一对情侣一次偶然地遇到了一些记有各种不认识的符号的石头,并通过研究这些符号之间的关系,从而发现了一种新理论的故事。这种理论,从书的前言可以知道,称为 Conway 的超实数理论。 此书是斯坦福大学的非常有名的高德纳教授所写。在大二时候,我...  

評分

用戶評價

评分

數學證明看得好纍,沒看齣他跟計算機科學的關係,研究之美這思想還是不錯的

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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。

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不得不佩服Knuth的yy能力。。。這書還不錯,感覺蠻嚴謹的。後續部分理解有點睏難

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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..."

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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!

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