Generalized functions : theory and technique, Volume 171 (Mathematics in Science and Engineering)

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9780123965608: Generalized functions : theory and technique, Volume 171 (Mathematics in Science and Engineering)

The basic concepts of generalized functions, theory of distributions and their applications are presented in this text.

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From the Back Cover:

The theory of generalized functions is a fundamental part of the toolkit of mathematicians, physicists, and theoretically inclined engineers. It has become increasingly clear that methods based on this theory, also known as the theory of distributions, not only help us to solve previously unsolved problems but also enalble us to recover known solutions in a very simple manner.
This book contains both the theory and applications of generalized functions with a significant feature being the quantity and variety of applications. Definitions and theorems are stated precisely, but rigor is minimized in favor of comprehension of techniques. Most of the material is easily accessible to senior undergraduate and graduate students in mathematical, physical and engineering sciences. The background required is limited to the standard courses in advanced calculus, ordinary and partial differential equations, and boundary value problems. The chapters that are suitable as a one semester course are furnished with sets of exercises.
This edition has been strengthened in many ways. Various new concepts have been added. Some of the new material has been reorganized to improve the logical flow of ideas. And the set of examples has been expanded considerably to make more of the ideas concrete in the reader's eye.

Review:

"A nice introductory text [that] presents the basics of linear integral equations theory in a very comprehensive way... Presents the basics of linear integral equations theory in a very comprehensive way... [The] richness of examples and applications makes the book extremely useful for teachers and also researchers."

—Applications of Mathematics

"An exceptionally clear exposition... The exercises at the end of each chapter are well-chosen."

—The American Mathematical Monthly (on the first edition)

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