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    Surreal Numbers: How Two Ex-Students Turned on to Pure Mathematics and Found Total Happiness : A Mathematical Novelette (Hardback) By (author) Donald E. Knuth

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    DescriptionNearly 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. 0201038129B04062001


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    Title
    Surreal Numbers
    Subtitle
    How Two Ex-Students Turned on to Pure Mathematics and Found Total Happiness : A Mathematical Novelette
    Authors and contributors
    By (author) Donald E. Knuth
    Physical properties
    Format: Hardback
    Number of pages: 128
    Width: 135 mm
    Height: 206 mm
    Thickness: 13 mm
    Weight: 181 g
    Language
    English
    ISBN
    ISBN 13: 9780201038125
    ISBN 10: 0201038129
    Classifications

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    B&T Merchandise Category: TXT
    B&T General Subject: 710
    Ingram Theme: APPR/RDRCAT
    BISAC V2.8: TEC044000
    Ingram Subject Code: MA
    Libri: I-MA
    BIC subject category V2: PBF
    BISAC V2.8: COM014000
    Warengruppen-Systematik des deutschen Buchhandels: 26240
    LC subject heading: ,
    DC21: 512.7
    DC22: 512.7, 512/.7
    BISAC V2.8: MAT022000
    LC classification: QA241 .K668 1974
    LC subject heading: ,
    LC classification: QA241.K688
    Publisher
    Pearson Education (US)
    Imprint name
    Addison-Wesley Educational Publishers Inc
    Publication date
    01 October 1974
    Publication City/Country
    New Jersey
    Author Information
    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.
    Back cover copy
    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. 0201038129B04062001