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Titlebook: Combinatorial techniques; Sharad S. Sane Book 2013 Hindustan Book Agency (India) 2013

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樓主
發(fā)表于 2025-3-21 16:17:36 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Combinatorial techniques
編輯Sharad S. Sane
視頻videohttp://file.papertrans.cn/231/230020/230020.mp4
叢書名稱Texts and Readings in Mathematics
圖書封面Titlebook: Combinatorial techniques;  Sharad S. Sane Book 2013 Hindustan Book Agency (India) 2013
描述This is a basic text on combinatorics that deals with all the three aspects of the discipline: tricks, techniques and theory, and attempts to blend them. The book has several distinctive features. Probability and random variables with their interconnections to permutations are discussed. The theme of parity has been specially included and it covers applications ranging from solving the Nim game to the quadratic reciprocity law. Chapters related to geometry include triangulations and Sperner‘s theorem, classification of regular polytopes, tilings and an introduction to the Eulcidean Ramsey theory. Material on group actions covers Sylow theory, automorphism groups and a classification of finite subgroups of orthogonal groups. All chapters have a large number of exercises with varying degrees of difficulty, ranging from material suitable for Mathematical Olympiads to research.
出版日期Book 2013
版次1
doihttps://doi.org/10.1007/978-93-86279-55-2
isbn_ebook978-93-86279-55-2
copyrightHindustan Book Agency (India) 2013
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沙發(fā)
發(fā)表于 2025-3-21 20:58:18 | 只看該作者
Some geometry,ive. However, we believe that the present chapter very much fits in the theme of this book. In particular we go on to describe regular polytopes in 3-dimensions, tessellations or tilings of the plane, partitioning a rectangle into squares and some other interesting topics.
板凳
發(fā)表于 2025-3-22 03:48:11 | 只看該作者
地板
發(fā)表于 2025-3-22 07:38:16 | 只看該作者
Polya theory of enumeration,sary algebraic tools through earlier chapters mainly in Chapter 12 and in Chapter 14. Unlike the earlier chapters, configurations, and therefore related geometric transformations form the main objects of the study and the chapter concerns itself as much with the qualitative aspects of counting as with the quantitative aspects.
5#
發(fā)表于 2025-3-22 12:13:40 | 只看該作者
Hindustan Book Agency (India) 2013
6#
發(fā)表于 2025-3-22 13:32:45 | 只看該作者
Marc-André Jung,Tim Fingscheidtty can very much make the counting obscure. The material covered in this chapter forms a basis for all the other chapters in this book because it sets the basic counting parameters required throughout the book. We begin by introducing the following elementary principles.
7#
發(fā)表于 2025-3-22 17:18:44 | 只看該作者
Ludwig Michael Haas,Ralf Helbigive. However, we believe that the present chapter very much fits in the theme of this book. In particular we go on to describe regular polytopes in 3-dimensions, tessellations or tilings of the plane, partitioning a rectangle into squares and some other interesting topics.
8#
發(fā)表于 2025-3-23 00:21:17 | 只看該作者
Ludwig Michael Haas,Ralf Helbigypes of permutations as well as counting the number of permutations with specified properties. In the present chapter, we are mainly interested in two other important enumeration parameters called the Stirling and Catalan numbers. This section deals with Stirling numbers and in Section 10.2, we deal with Catalan numbers.
9#
發(fā)表于 2025-3-23 03:37:32 | 只看該作者
10#
發(fā)表于 2025-3-23 06:22:31 | 只看該作者
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