Introduction to Functional Equations - Couverture rigide

Sahoo, Prasanna K.; Kannappan, Palaniappan

 
9781439841112: Introduction to Functional Equations
Couverture rigide
ISBN 10 : 143984111X ISBN 13 : 9781439841112
Editeur : Chapman & Hall/CRC, 2011

Synopsis

Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values.

In order to make the presentation as manageable as possible for students from a variety of disciplines, the book chooses not to focus on functional equations where the unknown functions take on values on algebraic structures such as groups, rings, or fields. However, each chapter includes sections highlighting various developments of the main equations treated in that chapter. For advanced students, the book introduces functional equations in abstract domains like semigroups, groups, and Banach spaces.

Functional equations covered include:

  • Cauchy Functional Equations and Applications
  • The Jensen Functional Equation
  • Pexider's Functional Equation
  • Quadratic Functional Equation
  • D'Alembert Functional Equation
  • Trigonometric Functional Equations
  • Pompeiu Functional Equation
  • Hosszu Functional Equation
  • Davison Functional Equation
  • Abel Functional Equation
  • Mean Value Type Functional Equations
  • Functional Equations for Distance Measures

The innovation of solving functional equations lies in finding the right tricks for a particular equation. Accessible and rooted in current theory, methods, and research, this book sharpens mathematical competency and prepares students of mathematics and engineering for further work in advanced functional equations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Prasanna K. Sahoo, Department of Mathematics, University of Louisville, Kentucky, USA

Palaniappan Kannappan, Department of Pure Mathematics, University of Waterloo, Ontario, Canada

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Chapman & Hall/CRC
Date d'édition
2011
Langue
anglais
ISBN 10 
143984111X
ISBN 13 
9781439841112
Reliure
Relié
Nombre de pages
447
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne

Autres éditions populaires du même titre

9781138114555: Introduction to Functional Equations

Edition présentée

ISBN 10 :  1138114553 ISBN 13 :  9781138114555
Editeur : Chapman and Hall/CRC, 2017
Couverture souple