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A Short Course on Functional Equations

Based Upon Recent Applications to the Social and Behavioral Sciences

  • J. Aczél

Part of the Theory and Decision Library book series (TDLB, volume 3)

Table of contents

  1. Front Matter
    Pages i-vi
  2. J. Aczél
    Pages 1-1
  3. Back Matter
    Pages 155-169

About this book

Introduction

Recently I taught short courses on functional equations at several universities (Barcelona, Bern, Graz, Hamburg, Milan, Waterloo). My aim was to introduce the most important equations and methods of solution through actual (not artifi­ cial) applications which were recent and with which I had something to do. Most of them happened to be related to the social or behavioral sciences. All were originally answers to questions posed by specialists in the respective applied fields. Here I give a somewhat extended version of these lectures, with more recent results and applications included. As previous knowledge just the basic facts of calculus and algebra are supposed. Parts where somewhat more (measure theory) is needed and sketches of lengthier calcula­ tions are set in fine print. I am grateful to Drs. J. Baker (Waterloo, Ont.), W. Forg-Rob (Innsbruck, Austria) and C. Wagner (Knoxville, Tenn.) for critical remarks and to Mrs. Brenda Law for care­ ful computer-typing of the manuscript (in several versions). A note on numbering of statements and references: The numbering of Lemmata, Propositions, Theorems, Corollaries and (separately) formulae starts anew in each section. If quoted in another section, the section number is added, e.g. (2.10) or Theorem 1.2. References are quoted by the last names of the authors and the last two digits of the year, e.g. Daroczy-Losonczi [671. 1 1. An aggregation theorem for allocation problems. Cauchy equation for single-and multiplace functions. Two extension theorems.

Keywords

functional equation inequality logarithm measure taxation

Authors and affiliations

  • J. Aczél
    • 1
  1. 1.Centre for Information TheoryUniversity of WaterlooCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-3749-9
  • Copyright Information Springer Science+Business Media B.V. 1987
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-277-2377-2
  • Online ISBN 978-94-009-3749-9
  • Buy this book on publisher's site
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