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Combinatorics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Joseph P. S. Kung 作者

Cambridge University Press

译者

2009-2-9 出版日期

408 页数

USD 59.99 价格

Paperback

丛书系列

9780521737944 图书编码

Combinatorics 在线电子书图书标签: Math 组合数学 MathCombinatorics

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Combinatorics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Gian-Carlo Rota was one of the most original and colourful mathematicians of the 20th century. His work on the foundations of combinatorics focused on the algebraic structures that lie behind diverse combinatorial areas, and created a new area of algebraic combinatorics. Written by two of his former students, this book is based on notes from his influential graduate courses and on face-to-face discussions. Topics include sets and valuations, partially ordered sets, distributive lattices, partitions and entropy, matching theory, free matrices, doubly stochastic matrices, Moebius functions, chains and antichains, Sperner theory, commuting equivalence relations and linear lattices, modular and geometric lattices, valuation rings, generating functions, umbral calculus, symmetric functions, Baxter algebras, unimodality of sequences, and location of zeros of polynomials. Many exercises and research problems are included, and unexplored areas of possible research are discussed. A must-have for all students and researchers in combinatorics and related areas.

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