Generalized Functions: Theory and Applications - Softcover

Kanwal, Ram P.

Softcover

ISBN 10: 0817643435 ISBN 13: 9780817643430

Publisher: Birkhäuser, 2004

Synopsis

Provides a more cohesive and sharply focused treatment of fundamental concepts and theoretical background material, with particular attention given to better delineating connections to varying applications Exposition driven by additional examples and exercises

About this title

From the Back Cover

This third edition of "Generalized Functions" expands the treatment of fundamental concepts and theoretical background material and delineates connections to a variety of applications in mathematical physics, elasticity, wave propagation, magnetohydrodynamics, linear systems, probability and statistics, optimal control problems in economics, and more. In applying the powerful tools of generalized functions to better serve the needs of physicists, engineers, and applied mathematicians, this work is quite distinct from other books on the subject.

Key new topics and important features:

* Examination of the Poisson Summation Formula and the concepts of differential forms and the delta distribution on wave fronts

* Enhanced presentation of the Schroedinger, Klein–Gordon, Helmholtz, heat and wave equations

* Exposition driven by additional examples and exercises

* Comprehensive bibliography and index

* Prerequisites: advanced calculus, ordinary and partial differential equations

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From the Reviewers:

"Kanwal’s book is a worthy member of this company [Gelfand and Shilov, Semanian, Friedman, Jones, and Barros-Neto]. Its strength lies in the application to classical physics….[it presents] a wealth of applications that cannot be found in any other single source…Kanwal has written a valuable book accessible to first-year graduate students in physics and engineering."

--Ivar Stakgold, Mathematics, University of Delaware

"The advantage of this text is in carefully gathered examples explaining how to use corresponding properties…. Even the standard material connecting with partial and ordinary differential equations is rewritten in modern terminology."

--Zentralblatt

Edition details

• Publisher: Birkhäuser
• Publication date: 2004
• Language: English
• ISBN 10: 0817643435
• ISBN 13: 9780817643430
• Binding: Paperback
• Edition number: 3
• Number of pages: 496