The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order by Keith B. Oldham and Jerome Spanier
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About this book :-
This text is the product of a collaboration between a mathematician and a chemist, this text book is best for the first and second graduate science students. The text is 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.
The first half part of book deals principally with the general properties of differintegral operators and sececond half part is mainly oriented toward the applications of these properties to mathematical and other problems.
This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals.
Book Detail :-
This book has following details information.
Title:
The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order by Keith B. Oldham and Jerome Spanier by NA
Publisher:
Dover Publications
Series:
FreeCompBooks
Year:
1974
Pages:
234
Type:
PDF
Language:
English
ISBN-10 #:
0486450015
ISBN-13 #:
978-0486450018
Country:
Pakistan
License:
CC PDM 1.0
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
Introduction - Diffrentiation and Integration - Fractional Derivates and Integral Difinitions and Equivalences - Differintegration of Simple Fucntions - General Properties - Differintegration of More Complex Functions - Semiderivaitves and Semiintegrals - Techniques in the Fractional Calculus - Representation of Transcendental Functions - Applications in the Classical Calculus - Applications to Diffusion Problems
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