Proofs and Confirmations 2024 pdf epub mobi 电子书

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发表于2024-12-26

Proofs and Confirmations 2024 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:David M. Bressoud

出品人:

页数:292

译者:

出版时间:1999-08-13

价格:USD 29.95

装帧:Paperback

isbn号码:9780521666466

丛书系列:

图书标签: 组合数学数学 Math 经典

Proofs and Confirmations 2024 pdf epub mobi 电子书图书描述

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 2024 pdf epub mobi 电子书

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q-级数的教材。显然，这不是一本q-级数的教材，原因是教我们的老师也不是专搞这个的，但最后反而因为这样，学到了更有意思的东西，大概是因为ASM确实是贯穿组合数学的一个重要课题，吸引了各个方向的专家，各种技巧都在这里展现。这部书较为完整地叙述了ASM猜想从诞生到解决的历程（最新的没有纳入），并且也着重强调，数学中的证明并不全为了说明事实准确而是为了更好地理解。

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