图书标签: 数学 计算机科学 Math Knuth 小说 计算机 Surreal Number
发表于2024-05-01
Surreal Numbers pdf epub mobi txt 电子书 下载 2024
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.
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.
http://en.wikipedia.org/wiki/Surreal_number
评分http://en.wikipedia.org/wiki/Surreal_number
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!
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...
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。
评分当我们想当然地总是assume too much还自以为经验丰富、懂得多的时候,真正的数学家们总会本能地问上一句为什么会有这样的现象,这样的现象是否就是“事实”,是否能找到证明...然后就有了公理、然后就有了简约优美或繁琐复杂的重重证明、然后就有了引理、然后就有了定理... Kn...
Surreal Numbers pdf epub mobi txt 电子书 下载 2024