Name: Proofs and Confirmations Paperback: The Story of the Alternating-Sign Matrix Conjecture (Spectrum)
Price: 65.01 EUR
Availability: InStock
Author: Bressoud, David M.
ISBN: 9780521666466

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

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

Type

Physical Book

Author

David M. Bressoud

Publisher

Cambridge University Press

Year

1999

Language

English

Pages

292

Format

Paperback

Dimensions

22.9 x 15.2 x 1.7 cm

Weight

0.43 kg.

ISBN

0521666465

ISBN13

9780521666466

Edition No.

Synopsis "Proofs and Confirmations Paperback: The Story of the Alternating-Sign Matrix Conjecture (Spectrum) "

This introduction to recent developments in algebraic combinatorics illustrates how research in mathematics actually progresses. The author recounts the dramatic search for and discovery of a proof of a counting formula conjectured in the late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While it was apparent that the conjecture must be true, the proof was elusive. As a result, researchers became drawn to this problem and made connections to aspects of the invariant theory of Jacobi, Sylvester, Cayley, MacMahon, Schur, and Young; to partitions and plane partitions; to symmetric functions; to hypergeometric and basic hypergeometric series; and, finally, to the six-vertex model of statistical mechanics. This volume is accessible to anyone with a knowledge of linear algebra, and it includes extensive exercises and Mathematica programs to help facilitate personal exploration. Students will learn what mathematicians actually do in an interesting and new area of mathematics, and even researchers in combinatorics will find something unique within Proofs and Confirmations.

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Proofs and Confirmations Paperback: The Story of the Alternating-Sign Matrix Conjecture (Spectrum) - Bressoud, David M.

Synopsis "Proofs and Confirmations Paperback: The Story of the Alternating-Sign Matrix Conjecture (Spectrum) "

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