Lectures on Functional Equations And Their Applications - Brossura

Aczel, J.; Oser, Hansjorg

Brossura

ISBN 10: 0486445232 ISBN 13: 9780486445236

Casa editrice: Dover Pubns, 2006

Riassunto

This systematic treatment of one of the oldest topics of mathematical analysis — the solution of functional equations — features numerous detailed proofs. Thorough and elementary in its approach, it will benefit upper-level undergraduates as well as graduate students.
The text 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.

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Contenuti

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

Product Description

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.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 0486445232
• ISBN 13: 9780486445236
• Rilegatura: Copertina flessibile
• Numero di pagine: 510
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia