Summability Calculus: A Comprehensive Theory of Fractional Finite Sums By Ibrahim M. Alabdulmohsin
English | EPUB | 2018 | 168 Pages | ISBN : 3319746472 | 2.15 MB
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.