A Short Course on Functional Equations : Based Upon Recent Applications to the Social and Behavioral Sciences / J. Aczél

• Autore: Aczél, János
• Pubblicazione: Dordrecht, : D. Reidel, 1987
• Descrizione fisica: 180 p. : ill. ; 24 cm
• Soggetto topico: 39-XX - Difference and functional equations [MSC 2020]; 39Bxx - Functional equations and inequalities [MSC 2020]; 90B30 - Production models [MSC 2020]; 91Dxx - Mathematical sociology (including anthropology) [MSC 2020]
• Soggetto non controllato: Functional equations; Inequality; Logarithms; Measures; Taxation
• Nota di contenuto: 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.
• Titolo autorizzato: Short Course on Functional Equations
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN00266346
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: https://doi.org/10.1007/978-94-009-3749-9
• Serie: Theory and decision library. B : Mathematical and statistical methods Dordrecht [etc.] . -Reidel ; [poi] Boston . -Dordrecht [etc.] . -Kluwer academic ; 3