Summability Calculus - A Comprehensive Theory of Fractional Finite Sums (Paperback, 1st ed. 2018)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Release date:	March 2018
First published:	2018
Authors:	Ibrahim M. Alabdulmohsin
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	165
Edition:	1st ed. 2018
ISBN-13:	978-3-319-74647-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	3-319-74647-2
Barcode:	9783319746470

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