Generalized Functions Theory and Technique: Theory and Technique - Softcover

Kanwal, Ram P.

Softcover

ISBN 10: 1468400371 ISBN 13: 9781468400373

Verlag: Birkhäuser, 2012

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Críticas:

"A nice introductory text [that] presents the basics of linear integral equations theory in a very comprehensive way... Presents the basics of linear integral equations theory in a very comprehensive way... [The] richness of examples and applications makes the book extremely useful for teachers and also researchers."

―Applications of Mathematics

"An exceptionally clear exposition... The exercises at the end of each chapter are well-chosen."

―The American Mathematical Monthly (on the first edition)

Reseña del editor:

This second edition of Generalized Functions has been strengthened in many ways. The already extensive set of examples has been expanded. Since the publication of the first edition, there has been tremendous growth in the subject and I have attempted to incorporate some of these new concepts. Accordingly, almost all the chapters have been revised. The bibliography has been enlarged considerably. Some of the material has been reorganized. For example, Chapters 12 and 13 of the first edition have been consolidated into Chapter 12 of this edition by a judicious process of elimination and addition of the subject matter. The new Chapter 13 explains the interplay between the theories of moments, asymptotics, and singular perturbations. Similarly, some sections of Chapter 15 have been revised and included in earlier chapters to improve the logical flow of ideas. However, two sections are retained. The section dealing with the application of the probability theory has been revised, and I am thankful to Professor Z.L. Crvenkovic for her help. The new material included in this chapter pertains to the modern topics of periodic distributions and microlocal theory. I have demonstrated through various examples that familiarity with the generalized functions is very helpful for students in physical sciences and technology. For instance, the reader will realize from Chapter 6 how the generalized functions have revolutionized the Fourier analysis which is being used extensively in many fields of scientific activity.

Über diese Auflage

• Verlag: Birkhäuser
• Erscheinungsdatum: 2012
• ISBN 10: 1468400371
• ISBN 13: 9781468400373
• Einband: Tapa blanda
• Anzahl der Seiten: 476