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000826741 019__ $$a1028626053$$a1028649152$$a1028840643
000826741 020__ $$a9783319746487$$q(electronic book)
000826741 020__ $$a3319746480$$q(electronic book)
000826741 020__ $$z9783319746470
000826741 020__ $$z3319746472
000826741 0247_ $$a10.1007/978-3-319-74648-7$$2doi
000826741 035__ $$aSP(OCoLC)on1028552214
000826741 035__ $$aSP(OCoLC)1028552214$$z(OCoLC)1028626053$$z(OCoLC)1028649152$$z(OCoLC)1028840643
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000826741 049__ $$aISEA
000826741 050_4 $$aQA303.2
000826741 08204 $$a515$$223
000826741 1001_ $$aAlabdulmohsin, Ibrahim M.,$$eauthor.
000826741 24510 $$aSummability calculus :$$ba comprehensive theory of fractional finite sums /$$cIbrahim M. Alabdulmohsin.
000826741 264_1 $$aCham, Switzerland :$$bSpringer,$$c2018.
000826741 300__ $$a1 online resource.
000826741 336__ $$atext$$btxt$$2rdacontent
000826741 337__ $$acomputer$$bc$$2rdamedia
000826741 338__ $$aonline resource$$bcr$$2rdacarrier
000826741 347__ $$atext file$$bPDF$$2rda
000826741 504__ $$aIncludes bibliographical references and index.
000826741 5050_ $$a1 Introduction -- 2 Simple Finite Sums -- 3 Composite Finite Sums -- 4 Analytic Summability Theory -- 5 Oscillating Finite Sums -- 6 Computing Finite Sums -- 7 The Language of Finite Differences -- The Sum of the Approximation Errors of Harmonic Numbers -- Glossary -- Index.
000826741 506__ $$aAccess limited to authorized users.
000826741 520__ $$aThis book develops the foundations of "summability calculus", which is a comprehensive theory of fractional finite sums. It fills an important gap in the literature by unifying and extending disparate historical results. It also presents new material that has not been published before. Importantly, it shows how the study of fractional finite sums benefits from and contributes to many areas of mathematics, such as divergent series, numerical integration, approximation theory, asymptotic methods, special functions, series acceleration, Fourier analysis, the calculus of finite differences, and information theory. As such, it appeals to a wide audience of mathematicians whose interests include the study of special functions, summability theory, analytic number theory, series and sequences, approximation theory, asymptotic expansions, or numerical methods. Richly illustrated, it features chapter summaries, and includes numerous examples and exercises. The content is mostly developed from scratch using only undergraduate mathematics, such as calculus and linear algebra.   .
000826741 588__ $$aOnline resource; title from PDF title page (viewed March 14, 2018).
000826741 650_0 $$aMathematical analysis.
000826741 650_0 $$aFractional calculus.
000826741 650_0 $$aFinite differences.
000826741 77608 $$iPrint version: $$z3319746472$$z9783319746470$$w(OCoLC)1016970171
000826741 852__ $$bebk
000826741 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-74648-7$$zOnline Access$$91397441.1
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000826741 980__ $$aEBOOK
000826741 980__ $$aBIB
000826741 982__ $$aEbook
000826741 983__ $$aOnline
000826741 994__ $$a92$$bISE