Proofs and Confirmations pdf epub mobi txt 电子书 下载 2024


Proofs and Confirmations

简体网页||繁体网页
David M. Bressoud
Cambridge University Press
1999-8-13
290
USD 103.99
Hardcover
Spectrum Series
9780521661706

图书标签: 数学  其余代数7   


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发表于2024-12-25

Proofs and Confirmations epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Proofs and Confirmations epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Proofs and Confirmations pdf epub mobi txt 电子书 下载 2024



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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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