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Synopsis
This treatise deals with modern theory of functional equations in several variables and their applications to mathematics.
Booknews
The title continues with applications to mathematics, information theory and to the natural and social sciences, and indeed: it is applications which have largely inspired the development of this wonderful field, in which clever trickery is the rule. Open the book at random, skim for a few paragraphs and you will arrive soon enough at a point where a non-mathematical research problem is posed and developed to the stage where it gives rise to a functional equation, whereupon methods of solution are discussed and their ramifications described. So it goes, for twenty absorbing chapters, most of which will be accessible to determined undergraduates. A final chapter sketches the rich history of the subject. The "selective bibliography" contains more than 1600 entries! Exercises (with hints) and further results appear at the end of each chapter. Attractively produced. An immensely valuable resource. (NW) Annotation c. Book News, Inc., Portland, OR (booknews.com)