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dc.contributor.authorAlabdulmohsin, Ibrahim
dc.date.accessioned2019-08-07T06:17:57Z
dc.date.available2019-08-07T06:17:57Z
dc.date.issued2018-03-07
dc.identifier.citationAlabdulmohsin, I. M. (2018). Summability Calculus. doi:10.1007/978-3-319-74648-7
dc.identifier.isbn9783319746470
dc.identifier.isbn9783319746487
dc.identifier.doi10.1007/978-3-319-74648-7
dc.identifier.urihttp://hdl.handle.net/10754/656390
dc.description.abstractThis 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.
dc.publisherSpringer Nature
dc.relation.haspartDOI:10.1007/978-3-319-74648-7_1
dc.relation.haspartDOI:10.1007/978-3-319-74648-7_2
dc.relation.haspartDOI:10.1007/978-3-319-74648-7_3
dc.relation.haspartDOI:10.1007/978-3-319-74648-7_4
dc.relation.haspartDOI:10.1007/978-3-319-74648-7_5
dc.relation.haspartDOI:10.1007/978-3-319-74648-7_6
dc.relation.haspartDOI:10.1007/978-3-319-74648-7_7
dc.relation.urlhttp://link.springer.com/10.1007/978-3-319-74648-7
dc.titleSummability Calculus
dc.typeBook
dc.contributor.departmentComputer Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
kaust.personAlabdulmohsin, Ibrahim


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