Lectures on Functional Equations and Their Applications (Softcover)
Lectures on Functional Equations and Their Applications (Softcover)
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From the back cover: "The test is divided into two parts: equations for functions of a single variable and equations for functions of several variables. Starting with equations that can be solved by simple substitutions, the first part examines the solution of equations by determining the values of the unknown function on a dense set. It also surveys equations with several unknown functions and methods of reduction to differential and integral equations. The second part begins with simple equations and advances to composite equations, equations with several unknown functions of several variables, and reduction to partial differential equations. The text concludes with explorations of vector and matrix equations."BRIEF CONTENTS
- Foreword to the German Edition
- Foreword to the English Edition
- Errata and Corrigenda
- Introduction
- PART I - Equations for Functions of a Single Variable
- 1. Equations Which Can Be Solved by Simple Substitutions
- 2. Solution of Equations by Determining the Values of the Unknown Function on a Dense Set
- 3. Equations with Several Unknown Functions
- 4. Reduction to Differential and Integral Equations, General Methods
- Part II - Equations for Functions of Several Variables
- 5. Simple Equations
- 6. Composition Equations
- 7. Equations with Several Unknown Functions of Several Variables. Reduction to Partial Differential Equations
- 8. Vector and Matrix Equations
- Concluding Remarks, Some Unsolved Problems
- Bibliography
- Author Index
- Subject Index
From the publisher: "This Dover edition is an unabridged republication of the work originally published by academic Press, New York, in 1966. An Errata and Corrigenda list has been added, as well as a note to the bibliography appearing on page 496."
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PUBLISHER: Dover Publications
ISBN-13: 9780486445236
ISBN-10: 0486445232