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Titlebook: An Introduction to Enumeration; Alan Camina,Barry Lewis Textbook 2011 Springer-Verlag London Limited 2011 Counting.Enumeration.Generating

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發(fā)表于 2025-3-21 18:56:11 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱An Introduction to Enumeration
影響因子2023Alan Camina,Barry Lewis
視頻videohttp://file.papertrans.cn/156/155242/155242.mp4
發(fā)行地址Includes over 350 worked examples and over 200 exercises with solutions.Focuses on the application of major mathematical topics including linear algebra, group theory and complex analysis.Strong empha
學(xué)科分類Springer Undergraduate Mathematics Series
圖書封面Titlebook: An Introduction to Enumeration;  Alan Camina,Barry Lewis Textbook 2011 Springer-Verlag London Limited 2011 Counting.Enumeration.Generating
影響因子.Written for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration. Enumeration is a branch of combinatorics where the fundamental subject matter is numerous methods of pattern formation and counting. Introduction to Enumeration provides a comprehensive and practical introduction to this subject giving a clear account of fundamental results and a thorough grounding in the use of powerful techniques and tools..Two major themes run in parallel through the book,? generating functions and group theory. The former theme takes enumerative sequences and then uses analytic tools to discover how they are made up. Group theory provides a concise introduction to groups and illustrates how the theory can be used? to count the number of symmetries a particular object has. These enrich and extend basic group ideas and techniques..The authors present their material through examples that are carefully chosen to establish key results in a natural setting. The aim is to progressively build fundamental theorems and techniques. This development is interspersed with exercises that consolidate ideas and
Pindex Textbook 2011
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發(fā)表于 2025-3-21 22:30:59 | 只看該作者
Working with Generating Functions, some initial terms, we can progressively calculate more. We have also developed a way to convert some recurrence relations into a generating function. If we can manipulate the generating function and then expand it as a power series that enables us to give explicit expressions for the count by read
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Permutation Groups,umber of arrangements of a set of objects, we might wish to count two arrangements which are symmetrical as being the same. A simple example is that of a bracelet made up of different coloured beads. It then makes sense to count two arrangements of the beads as the same if one can be rotated into th
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Group Actions and Counting,e introduced the idea of a group action and the orbits of this action. This is going to be crucial to the development. Roughly we have an object which we are going to “colour” and we find the number of ways we can do this if we allow for the symmetries of the object.
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978-0-85729-599-6Springer-Verlag London Limited 2011
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發(fā)表于 2025-3-23 00:31:56 | 只看該作者
Group Actions and Counting,e introduced the idea of a group action and the orbits of this action. This is going to be crucial to the development. Roughly we have an object which we are going to “colour” and we find the number of ways we can do this if we allow for the symmetries of the object.
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發(fā)表于 2025-3-23 02:04:44 | 只看該作者
Graphs,the word graph represents a collection of vertices and of edges. They are usually shown as very simple pictures, where the vertices are represented by dots and edges by lines..We begin by drawing some simple graphs – see Figure?8.1. Then we will give a more formal definition of what we mean. We go on to count various classes of graphs.
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