Operational Calculus and Generalized Functions - Brossura

Erdelyi, Arthur

Brossura

ISBN 10: 0486497127 ISBN 13: 9780486497129

Casa editrice: Dover Pubns, 2013

Riassunto

This brief monograph by a distinguished professor is based on a mathematics course offered at the California Institute of Technology. The majority of students taking this course were advanced undergraduates and graduate students of engineering. A solid background in advanced calculus is a prerequisite.
Topics include elementary and convergence theories of convolution quotients, differential equations involving operator functions, and exponential functions of operators. Tools developed in the preceding chapters are then applied to problems in partial differential equations. Solutions to selected problems appear at the end of the book.

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Product Description

Based on a math course for advanced undergraduates and graduate students at Cal Tech, this brief monograph requires a background in advanced calculus. Topics include elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators, and problems in partial differential equations. Includes solutions. 1962 edition.

Contenuti

1. Introduction 2. The Algebra of Convolution Quotients 3. Applications to Differential and Integral Equations 4. Convergence of Convolution Quotients. Operator Functions 5. Differential Equations for Operator Functions. Exponential Functions 6. The One-Dimensional Wave Equation 7. The One-Dimensional Diffusion Equation References Answers to Problems Notations Index

Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2013
• ISBN 10: 0486497127
• ISBN 13: 9780486497129
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 103