Proofs and Confirmations : The Story of the Alternating-Sign Matrix Conjecture

Language: English

Published by Cambridge University Press, 1999

0521666465 / 9780521666466

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.…

Title
Proofs and Confirmations : The Story of the Alternating-Sign Matrix Conjecture
Author
David M. Bressoud
Publisher
Cambridge University Press
Publication year
1999
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0521666465
ISBN 13
9780521666466
Item weight
478 grams
Dimensions
229x152x18 mm

AHA-BUCH GmbH

Einbeck, Germany

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