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Proofs and confirmations : the story of the alternating sign matrix conjecture

Author: David M Bressoud
Publisher: Cambridge ; New York : Cambridge University Press, 1999.
Series: MAA spectrum.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This is an Introduction to Recent Developments in algebraic combinatorics and an illustration of how research in mathematics actually progresses. The author recounts the story of the search for and discovery of a proof of a formula conjectured in the early 1980s: the number of m x n alternating sign matrices, objects that generalize permutation matrices. Although it was soon apparent that the conjecture must be  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David M Bressoud
ISBN: 0521661706 9780521661706 0521666465 9780521666466
OCLC Number: 40964741
Description: xv, 274 pages : illustrations ; 23 cm.
Contents: The conjecture --
Fundamental structures --
Lattice paths and plane partitions --
Symmetric functions --
Hypergeometric series --
Explorations --
Square ice.
Series Title: MAA spectrum.
Responsibility: David M. Bressoud.
More information:

Abstract:

An introduction to recent developments in algebraic combinatorics and an illustration of how research in mathematics actually progresses.  Read more...

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'Proofs and Confirmations is one of the most brilliant examples of mathematical exposition that I have encountered, in many years of reading the same. This is not for the faint-hearted, nor is Proofs Read more...

 
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