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Proofs and Confirmations

Name: Proofs and Confirmations
Brand: Cambridge University Press
SKU: 9780521666466
Price: 1277 CZK
Availability: InStock

The Story of the Alternating-Sign Matrix Conjecture

Autor: David M. Bressoud

Jazyk:

Vazba: Brožovaná

Vydavatel: Cambridge University Press

Dostupnost: Skladem u dodavatele

Odesíláme za 14-21 dnů

1 277 Kč

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

Informace o knize

Autor

David M. Bressoud

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

1999

Stránek

292

EAN

9780521666466

ISBN

0521666465

Enbook ID

02039849

Vydavatel

Cambridge University Press

Hmotnost

390

Rozměry

229 x 154 x 23

Kompletní popis

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

Informace o knize

Kompletní popis

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