The Fractional Calculus: Theory and Applications of Differentiation and Integrat

Description: The Fractional Calculus by Keith B. Oldham 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Author Biography 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. Table of Contents 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 Long Description Not only does this text 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. Topics include integer order, simple and complex functions, semiderivatives and semiintegrals, and transcendental functions. 1974 edition. Details ISBN0486450015 Author Keith B. Oldham Short Title FRACTIONAL CALCULUS Language English ISBN-10 0486450015 ISBN-13 9780486450018 Media Book Format Paperback DEWEY 515 Year 2006 Imprint Dover Publications Inc. Place of Publication New York Country of Publication United States Birth 1930 Subtitle Theory and Applications of Differentiation and Integration to Arbitrary Order DOI 10.1604/9780486450018 UK Release Date 2006-05-26 AU Release Date 2006-05-26 NZ Release Date 2006-05-26 US Release Date 2006-05-26 Pages 256 Publisher Dover Publications Inc. Publication Date 2006-05-26 Illustrations Illustrations, unspecified Audience General Series Dover Books on Mathema 1.4tics We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:78525609;

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