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.

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