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

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1. 译名初一看略标题党了,但看完书后觉得也算是贴切 2. 内容简介中有一句话:“本书可以看做是读懂<TAOCP>和<CMath>的钥匙" ——扯! 3. 这本书实在不能算成是一本小说,而且也不是十分有趣,所幸很短,正当我约莫有点不耐烦时,第16章就结束了,很好。 4. 翻译得挺好,几乎没...  

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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...  

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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。  

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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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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。  

用户评价

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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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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

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http://en.wikipedia.org/wiki/Surreal_number

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不得不佩服Knuth的yy能力。。。这书还不错,感觉蛮严谨的。后续部分理解有点困难

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http://en.wikipedia.org/wiki/Surreal_number

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