Proofs and Confirmations by David M. Bressoud
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Proofs and Confirmations
By David M. Bressoud

Proofs and Confirmations

The Story of the Alternating-Sign Matrix Conjecture

By (author) See other recent books by David M. Bressoud
Series edited by William Watkins See other recent books by William Watkins See other recent books by Gerald L. Alexanderson
Format: Paperback

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Proofs and Confirmations by David M. Bressoud

Book Description

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 late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While apparent that the conjecture must be true, the proof was elusive. Researchers became drawn to this problem, making connections to aspects of invariant theory, to symmetric functions, to hypergeometric and basic hypergeometric series, and, finally, to the six-vertex model of statistical mechanics. All these threads are brought together in Zeilberger's 1996 proof of the original conjecture. The book is accessible to anyone with a knowledge of linear algebra. Students will learn what mathematicians actually do in an interesting and new area of mathematics, and even researchers in combinatorics will find something new here.

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Book Details

ISBN: 9780521666466
ISBN-10: 0521666465
Format: Paperback
(228mm x 152mm x 17mm)
Pages: 292
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Aug-1999
Country of Publication: United Kingdom

Other Editions...


Books By Author David M. Bressoud

Radical Approach to Lebesgue's Theory of Integration by David M. Bressoud Radical Approach to Lebesgue's Theory of Integration, Hardback (January 2008)

An introduction to measure theory and Lebesgue integration rooted in the historical questions that led to its development.

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