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Summability Calculus
By:Ibrahim M. Alabdulmohsin
Published on 2018-03-07 by Springer

This book develops the foundations of |summability calculus|, which is a comprehensive theory of fractional finite sums. It fills an important gap in the literature by unifying and extending disparate historical results. It also presents new material that has not been published before. Importantly, it shows how the study of fractional finite sums benefits from and contributes to many areas of mathematics, such as divergent series, numerical integration, approximation theory, asymptotic methods, special functions, series acceleration, Fourier analysis, the calculus of finite differences, and information theory. As such, it appeals to a wide audience of mathematicians whose interests include the study of special functions, summability theory, analytic number theory, series and sequences, approximation theory, asymptotic expansions, or numerical methods. Richly illustrated, it features chapter summaries, and includes numerous examples and exercises. The content is mostly developed from scratch using only undergraduate mathematics, such as calculus and linear algebra.
This Book was ranked at 33 by Google Books for keyword calculus.
Book ID of Summability Calculus's Books is 7d1PDwAAQBAJ, Book which was written byIbrahim M. Alabdulmohsinhave ETAG "RE2prjeVsR0"
Book which was published by Springer since 2018-03-07 have ISBNs, ISBN 13 Code is 9783319746487 and ISBN 10 Code is 3319746480
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Book which have "165 Pages" is Printed at BOOK under CategoryMathematics
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