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Generalized Functions Theory and Technique

  • Ram P. Kanwal

Table of contents

  1. Front Matter
    Pages i-xii
  2. Ram P. Kanwal
    Pages 49-70
  3. Ram P. Kanwal
    Pages 208-218
  4. Ram P. Kanwal
    Pages 297-343
  5. Ram P. Kanwal
    Pages 344-380
  6. Ram P. Kanwal
    Pages 405-418
  7. Ram P. Kanwal
    Pages 419-448
  8. Back Matter
    Pages 449-462

About this book

Introduction

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.

Keywords

Boundary value problem Fourier analysis Generalized Functions Stieltjes integral boundary element method differential equation differential operator evolution ordinary differential equation partial differential equation probability scattering theory statistics technology wave equation

Authors and affiliations

  • Ram P. Kanwal
    • 1
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUniversity ParkUSA

Bibliographic information