Shortcuts
Please wait while page loads.
SISSA Library . Default .
PageMenu- Main Menu-
Page content

Catalogue Display

Summability Calculus: A Comprehensive Theory of Fractional Finite Sums

Summability Calculus: A Comprehensive Theory of Fractional Finite Sums
Catalogue Information
Field name Details
Dewey Class 512.7
Title Summability Calculus ([EBook]) : A Comprehensive Theory of Fractional Finite Sums / / by Ibrahim M. Alabdulmohsin.
Author Alabdulmohsin, Ibrahim M.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2018.
Physical Details XIII, 165 p. : online resource.
ISBN 9783319746487
Summary Note 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.   .:
Contents note 1 Introduction -- 2 Simple Finite Sums -- 3 Composite Finite Sums -- 4 Analytic Summability Theory -- 5 Oscillating Finite Sums -- 6 Computing Finite Sums -- 7 The Language of Finite Differences -- The Sum of the Approximation Errors of Harmonic Numbers -- Glossary -- Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-74648-7
Links to Related Works
Subject References:
Authors:
Corporate Authors:
Classification:
Catalogue Information 37995 Beginning of record . Catalogue Information 37995 Top of page .

Reviews


This item has not been rated.    Add a Review and/or Rating37995
Quick Search