The Fractional Calculus: Theory And Applications of Differentiation And Integration to Arbitrary Order - Brossura

Oldham, Keith B.; Spanier, Jerome

Brossura

ISBN 10: 0486450015 ISBN 13: 9780486450018

Casa editrice: Dover Pubns, 2006

Riassunto

The product of a collaboration between a mathematician and a chemist, this text is geared toward advanced undergraduates and graduate students. Not only does it explain the theory underlying the properties of the generalized operator, but it also illustrates the wide variety of fields to which these ideas may be applied. Rather than an exhaustive treatment, it represents an introduction that will appeal to a broad spectrum of students. Accordingly, the mathematics is kept as simple as possible.
The first of the two-part treatment deals principally with the general properties of differintegral operators. The second half is mainly oriented toward the applications of these properties to mathematical and other problems. Topics include integer order, simple and complex functions, semiderivatives and semi-integrals, and transcendental functions. The text concludes with overviews of applications in the classical calculus and diffusion problems.

Su questo libro

L'autore:

Keith B. Oldham is Professor of Chemistry at Trent University in Ontario, and Jerome Spanier is a research mathematician at the University of California at Irvine.

Contenuti:

1. Introduction 2. Differentiation and Integrations to Integer Order 3. Fractional Derivatives and Integrals: Definitions and Equivalences 4. Differintegration of Simple Functions 5. General Properties 6. Differintegration of More Complex Functions 7. Semiderivatives and Semiintegrals 8. Techniques in the Fractional Calculus 9. Representation of Transcendental Functions 10. Applications in the Classical Calculus 11. Applications to Diffusion Problems References Index

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2006
• ISBN 10: 0486450015
• ISBN 13: 9780486450018
• Rilegatura: Copertina flessibile
• Numero di pagine: 234