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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 II. Equations for Functions of Several Variables 5. Simple Equations 6. Composite 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
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.
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