Proofs and Confirmations pdf epub mobi txt 電子書下載 2024

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David M. Bressoud

Cambridge University Press

1999-08-13

292

USD 29.95

Paperback

9780521666466

圖書標籤: 組閤數學數學 Math 經典

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发表于2024-11-23

Proofs and Confirmations epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Proofs and Confirmations pdf epub mobi txt 電子書下載 2024

圖書描述

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.

Proofs and Confirmations 下載 mobi epub pdf txt 電子書

著者簡介

圖書目錄

Proofs and Confirmations pdf epub mobi txt 電子書下載

想要找書就要到小哈圖書下載中心

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用戶評價

評分☆☆☆☆☆

平麵分拆和交錯矩陣理論位於組閤數學，代數學，統計力學的交匯處，是一個非常美妙的理論。這本書是這一理論的最好入門讀物，隻要學過綫性代數的基本知識即可。作者像講故事一樣娓娓敘來，給我們展開瞭一副美妙而又波瀾壯闊的畫捲。（我認為這本書是可以和 <<Proofs from the book>>並列的經典）

評分☆☆☆☆☆

q-級數的教材。顯然，這不是一本q-級數的教材，原因是教我們的老師也不是專搞這個的，但最後反而因為這樣，學到瞭更有意思的東西，大概是因為ASM確實是貫穿組閤數學的一個重要課題，吸引瞭各個方嚮的專傢，各種技巧都在這裏展現。這部書較為完整地敘述瞭ASM猜想從誕生到解決的曆程（最新的沒有納入），並且也著重強調，數學中的證明並不全為瞭說明事實準確而是為瞭更好地理解。