Introduction to Combinatorial Analysis (Dover Books on Mathematics) - Softcover

Riordan, John

Softcover

ISBN 10: 0486425363 ISBN 13: 9780486425368

Verlag: Dover Publications Inc., 2002

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 2002
• Sprache: Englisch
• ISBN 10: 0486425363
• ISBN 13: 9780486425368
• Einband: Taschenbuch
• Anzahl der Seiten: 256
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar