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1 online resource (ix, 228 pages) : illustrations
This is the Second Edition of the highly successful introduction to the use of generating functions and series in combinatorial mathematics. This new edition includes several new areas of application, including the cycle index of the symmetric group, permutations and square roots, counting polyominoes, and exact covering sequences. An appendix on using the computer algebra programs MAPLE(r) and Mathematica(r) to generate functions is also included. The book provides a clear, unified introduction to the basic enumerative applications of generating functions, and includes exercises and solutions, many new, at the end of each chapter.
Machine derived contents note: Table of contents for Generatingfunctionology / Herbert S. Wilf. -- Bibliographic record and links to related information available from the Library of Congress catalog -- Information from electronic data provided by the publisher. May be incomplete or contain other coding. -- Introductory Ideas and Examples. Series. Cards, Decks, and Hands: The Exponential Formula. Applications of Generating Functions. Analytic and Asymptotic Methods. Appendix: Using MAPLE(r) and Mathematica. (r) Solutions. References. Index. -- Library of Congress subject headings for this publication: Generating functions.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
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Includes bibliographical references (pages 224-226) and index.