Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture (Spectrum) - Image 1

£34.63

Cambridge University Press Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture (Spectrum)

Name: Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture (Spectrum)
Brand: Cambridge University Press
Price: 32.44 GBP
Availability: InStock

Algebra

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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.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521666465
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 28 October 1999
Listed Since: 12 December 2006

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Cambridge University Press Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture (Spectrum)

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