Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.
Author(s): J. Aczpl (Eds.)
Series: Mathematics in Science and Engineering 19
Publisher: Elsevier, Academic Press
Year: 1966
Language: English
Pages: ii-xiii, 1-510
Content:
Edited by
Page ii
Copyright page
Page vi
Foreword to the German Edition
Pages vii-xi
Foreword to the English Edition
Page xiii
Introduction
Pages 1-12
Chapter 1 Equations Which Can Be Solved by Simple Substitutions
Pages 15-30
Chapter 2 Solution of Equations by Determining the Values of the Unknown Function on a Dense Set
Pages 31-139
Chapter 3 Equations with Several Unknown Functions
Pages 141-182
Chapter 4 Reduction to Differential and Integral Equations, General Methods
Pages 183-209
Chapter 5 Simple Equations
Pages 213-244
Chapter 6 Composite Equations
Pages 245-299
Chapter 7 Equations with Several Unknown Functions of Several Variables. Reduction to Partial Differential Equations
Pages 301-345
Chapter 8 Vector and Matrix Equations
Pages 347-378
Concluding Remarks. Some Unsolved Problems
Pages 379-382
Bibliography
Pages 383-496
Author Index
Pages 497-508
Subject Index
Pages 509-510
