Keith B Oldham, Jerome Spanier

The Fractional Calculus

Theory and Applications of Differentiation and Integration to Arbitrary Order

• Broschiertes Buch

Produktbeschreibung

This text explains the theory underlying the properties of the generalized operator and its many applications. Topics include integer order, functions, semiderivatives and semi-integrals, and applications in calculus and diffusion problems. 1974 edition.

Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 256
• Erscheinungstermin: 28. April 2006
• Englisch
• Abmessung: 215mm x 141mm x 13mm
• Gewicht: 281g
• ISBN-13: 9780486450018
• ISBN-10: 0486450015
• Artikelnr.: 21192938

Autorenporträt

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.

Inhaltsangabe

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