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.
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.
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。
评分草读了一遍, 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。
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。。。
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...
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。。。
评分不得不佩服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
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
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
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