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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Discrete Fractional Calculus
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Discrete Fractional Calculus
Christopher Goodrich, Allan C. Peterson (Gebundene Ausgabe, Englisch)
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Beschreibung
This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting point. Several exercises are offered at the end of each… chapter and select answers have been provided at the end of the book. The presentation of the content is designed to give ample flexibility for potential use in a myriad of courses and for independent study. The novel approach taken by the authors includes a simultaneous treatment of the fractional- and integer-order difference calculus (on a variety of time scales, including both the usual forward and backwards difference operators). The reader will acquire a solid foundation in the classical topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the subject. Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory course for difference equations which also includes discrete fractional calculus. Chapters 1—2 provide a basic introduction to the delta calculus including fractional calculus on the set of integers. For courses where students already have background in elementary real analysis, Chapters 1—2 may be covered quickly and readers may then skip to Chapters 6—7 which present some basic results in fractional boundary value problems (FBVPs). Chapters 6—7 in conjunction with some of the current literature listed in the Bibliography can provide a basis for a seminar in the current theory of FBVPs. For a two-semester course, Chapters 1—5 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integer-order calculus. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
17.02.2016
Sprache
Englisch
EAN
9783319255606
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Christopher Goodrich, Allan C. Peterson
Seitenanzahl
556
Auflage
1
Einbandart
Gebundene Ausgabe
Autorenporträt
Allan C. Peterson is professor of mathematics at the University of Nebraska, Lincoln. Peterson, with Walter Kelley, is author of "The Theory of Differential Equations", (c) 2010, Universitext. Current research interests include dynamic equations on time scales, fractional calculus, difference equations, and differential equations.
Schlagwörter
Nabla fractional calculus, discrete fractional calculus, fractional boundary value problems, integer-order time scale calculus, quantam calculus, discrete fractional calculus textbook adoption, difference calculus, Laplace transforms, Delta Laplace transform, fractional power rules, nabla exponential function, discrete nabla integral, Mittag-Leffler function, quantum calculus, Floquet theory, Green's function, ordinary differential equations
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBKB - Reelle Analysis, Real-Variablen
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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