Surreal Numbers

 Taschenbuch
Besorgungstitel | Lieferzeit:3-5 Tage I
ISBN-13:
9780201038125
Einband:
Taschenbuch
Erscheinungsdatum:
01.01.1974
Seiten:
128
Autor:
Donald E. Knuth
Gewicht:
177 g
Format:
208x134x10 mm
Sprache:
Englisch
Beschreibung:

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

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