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 hownew mathematics is created.
This item is Non-Returnable.
- ISBN-13: 9780201038125
- ISBN-10: 0201038129
- Publisher: Addison-Wesley Professional
- Publish Date: October 1974
- Page Count: 128
- Dimensions: 8.18 x 5.36 x 0.35 inches
- Shipping Weight: 0.39 pounds