Combinatorics and Probability

Combinatorics and Probability
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组合学和概率

DOI:
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发表时间:
2007
期刊:
影响因子:
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通讯作者:
T. Andreescu
T. Andreescu
中科院分区:
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文献类型:
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作者:
R. Gelca;T. Andreescu

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这本书的最后一章分为两个部分:组合学和概率。组合数学部分包含关于集合的组合数学、组合几何、图论的子章节,讨论欧拉公式和拉姆齐理论,以及关于二项式系数和计数方法的子章节,其中包括生成函数的方法和包含-排除原理。本章最后讨论了计算概率的技术,并有一节讨论几何概率。
The last chapter of the book is divided into two parts: combinatorics and probability. The combinatorics part contains subchapters on combinatorics of sets, combinatorial geometry, graph theory, with a discussion of Euler’s formula and Ramsey theory, and a subchapter on binomial coefficients and counting methods, among which the method of generating functions and the inclusion-exclusion principle. The chapter ends with a discussion of techniques for computing probabilities, and a section on geometric probabilities.