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Summability Calculus: A Comprehensive Theory of Fractional Finite Sums Paperback - 2018
by Ibrahim M. Alabdulmohsin
From the rear cover
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.
Details
- Title Summability Calculus: A Comprehensive Theory of Fractional Finite Sums
- Author Ibrahim M. Alabdulmohsin
- Binding Paperback
- Pages 165
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2018-03-15
- Illustrated Yes
- Features Glossary, Illustrated
- ISBN 9783319746470 / 3319746472
- Weight 0.57 lbs (0.26 kg)
- Dimensions 9.21 x 6.14 x 0.38 in (23.39 x 15.60 x 0.97 cm)
- Dewey Decimal Code 511.4
Media reviews
Citations
- Choice, 12/01/2018, Page 0
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Summability Calculus : A Comprehensive Theory of Fractional Finite Sums
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Summability Calculus: A Comprehensive Theory of Fractional Finite Sums
by Alabdulmohsin, Ibrahim M.
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by Alabdulmohsin, Ibrahim M.
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