Proofs and Confirmations

The Story of the Alternating-Sign Matrix Conjecture

By:

David M. Bressoud

Format:

Paperback / softback

Series:

Spectrum

Show Hide Adult Content

$138.00

Available from supplier

Usually ships in 3-4 weeks

0 in Trolley

Price Match

Wrap this item as a gift ($5.90) - add a free gift card on the next page

Free Delivery with Primate

Join Now

Free 14 day free trial, cancel anytime.

Buy Now, Pay Later with:

4 payments of $34.50 with Afterpay Learn more

6 weekly interest-free payments of $23.00 with Laybuy Learn more

Availability

Delivering to:

Estimated arrival:

Around 25 Jun - 5 Jul using International Courier

Description

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.

Release date NZ

August 13th, 1999

Author

David M. Bressoud

Audiences

Professional & Vocational
Tertiary Education (US: College)

Illustrations

Worked examples or Exercises; 12 Halftones, unspecified; 37 Line drawings, unspecified

Pages

292

Series

Spectrum

Dimensions

152x229x17

ISBN-13

9780521666466

Product ID

2011953

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here