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Proofs and Confirmations

Name: Proofs and Confirmations
Brand: Cambridge University Press
SKU: 9780521666466
Price: 302.44 RON
Availability: InStock

The Story of the Alternating-Sign Matrix Conjecture

Autor: David M. Bressoud

Limbă:

Legare: Carte broșată

Editura: Cambridge University Press

Disponibilitate: În depozitul extern

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302.44 lei

This is an introduction to recent developments in algebraic combinatorics and an illustration of how...

Informații despre carte

Autor

David M. Bressoud

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

1999

Pagini

292

EAN

9780521666466

ISBN

0521666465

Enbook ID

02039849

Editura

Cambridge University Press

Greutate

390

Dimensiuni

229 x 154 x 23

Descriere completă

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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Proofs and Confirmations

The Story of the Alternating-Sign Matrix Conjecture

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Descriere completă

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