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Synopsis
This is a text that defines "the number of ways there are of doing some well-defined operation." Covers permutations and combinations associated with elementary algebra, generating functions, the principle of inclusion and exclusion, the cycles of permutations, the theory of distributions, partitions, compositions, trees, and linear graphs; and permutations with restricted position. Includes problems. 1958 edition.
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Synopsis
This introduction to combinatorial analysis surveys portions of the theory of permutations and combinations which are pertinent to elementary algebra, then treats generation functions, the principle of inclusion and exclusion, and the enumeration of permutations in cyclic representation. There is an overview of the theory of distributions, followed
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John Riordan is an architect and writer. His passions for food and design have led him to restaurants worldwide. He lives in Washington D.C., where he subjects his friends and family to culinary designs of his own at home.
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- PublisherDover Publications Inc.
- Publication date2003
- ISBN 10 0486425363
- ISBN 13 9780486425368
- BindingPaperback
- LanguageEnglish
- Number of pages256
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Introduction to Combinatorial Analysis (Dover Books on Mathematics)
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Introduction to Combinatorial Analysis (Paperback)
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Paperback. Condition: new. Paperback. This introduction to combinatorial analysis defines the subject as ""the number of ways there are of doing some well-defined operation."" Chapter 1 surveys that part of the theory of permutations and combinations that finds a place in books on elementary algebra, which leads to the extended treatment of generation functions in Chapter 2, where an important result is the introduction of a set of multivariable polynomials.Chapter 3 contains an extended treatment of the principle of inclusion and exclusion which is indispensable to the enumeration of permutations with restricted position given in Chapters 7 and 8. Chapter 4 examines the enumeration of permutations in cyclic representation and Chapter 5 surveys the theory of distributions. Chapter 6 considers partitions, compositions, and the enumeration of trees and linear graphs.Each chapter includes a lengthy problem section, intended to develop the text and to aid the reader. These problems assume a certain amount of mathematical maturity. Equations, theorems, sections, examples, and problems are numbered consecutively in each chapter and are referred to by these numbers in other chapters. Introductory text surveys the theory of permutations and combinations associated with elementary algebra; the principle of inclusion and exclusion; and the theory of distributions and partitions in cyclic representation. Includes problems. 1958 edition. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780486425368
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