Click Here to Download: https://ouo.io/L5OoZ6 Summability Calculus A Comprehensive Theory of Fractional Finite Sums By: Ibrahim M. Alabdulmohsin Publisher: Springer Print ISBN: 9783319746470, 3319746472 eText ISBN: 9783319746487, 3319746480 Copyright year: 2018 Format: EPUB Available from $ 89.99 USD SKU 9783319746487 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.
