{"product_id":"introduction-to-combinatorial-analysis-9780486425368","title":"Introduction to Combinatorial Analysis","description":"\u003cp\u003eThis 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.\u003cbr\u003eChapter 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.\u003cbr\u003eEach 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.\u003c\/p\u003e\u003cbr\u003e","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":50491774730514,"sku":"9780486425368","price":12.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_2862f4cb-4cc9-4fd7-9b82-b03381e655ee.jpg?v=1730554917","url":"https:\/\/surprise-castle.myshopify.com\/products\/introduction-to-combinatorial-analysis-9780486425368","provider":"Surprise Castle","version":"1.0","type":"link"}