Summa summarum

Summa summarum

by Larsen, Mogens Esrom

Type Book
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"The ability to evaluate efficiently finite sums and combinatorial identities is a powerful tool for any mathematician or user of mathematics. As both a reference and an introduction to the art of manipulating sums for graduate and upper-level undergraduate students, researchers, and non-specialists, this book provides an array of systematic techniques that will help the reader to evaluate almost any finite algebraic sum."--Jacket.

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Title Statements

  • Full title :Summa summarum / Morgens [i.e. Mogens] Esrom Larsen.

Summary

"The ability to evaluate efficiently finite sums and combinatorial identities is a powerful tool for any mathematician or user of mathematics. As both a reference and an introduction to the art of manipulating sums for graduate and upper-level undergraduate students, researchers, and non-specialists, this book provides an array of systematic techniques that will help the reader to evaluate almost any finite algebraic sum."--Jacket.

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Edition Statements

  • Publication Date:©2007.

Publication Statements

The Physical Object

  • Description:xii, 232 pages ; : 24 cm.

Edition Identifiers

  • ISBN:9781568813233, 1568813236
  • oclc:ocm86115642
  • LC Classification:QA246.7
  • Dewey Decimal:511/.6

Table of Contents

Notation -- Elementary properties -- Polynomials -- Linear difference equations -- Classification of sums -- Gosper's algorithm -- Sums of type II(2,2,z) -- Sums of type II(3,3,z) -- Sums of type II(4,4,+1) -- Sums of type II(5,5,1) -- Other type II sums -- Zeilberger's algorithm -- Sums of types III-IV -- Sums of type V. harmonic sums -- Indefinite sums -- Basic identities.

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