Proofs and Confirmations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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David M. Bressoud 作者

Cambridge University Press

譯者

1999-8-13 出版日期

290 頁數

USD 103.99 價格

Hardcover

Spectrum Series 叢書系列

9780521661706 圖書編碼

Proofs and Confirmations 在線電子書圖書標籤: 數學其餘代數7

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發表於2024-09-29

Proofs and Confirmations 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Proofs and Confirmations 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Proofs and Confirmations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Proofs and Confirmations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Proofs and Confirmations 在線電子書圖書描述

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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