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Summability Calculus

A Comprehensive Theory of Fractional Finite Sums

Authors: Alabdulmohsin, Ibrahim M.

  • The first book in the literature, which is devoted to fractional finite sums as an object of study on its own right
  • Unifies many disparate historical results in the works of prominent mathematicians, such as Gregory, Euler, Boole, and Ramanujan, and shows how such results relate to each other in significant ways
  • Contains new materials and identities that have not been published before
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eBook 65,44 €
price for Spain (gross)
  • ISBN 978-3-319-74648-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 80,07 €
price for Spain (gross)
  • ISBN 978-3-319-74647-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.


About the authors

Ibrahim M. Alabdulmohsin is a postdoctoral fellow at the Department of Computer Science at the King Abdullah University of Science and Technology in Saudi Arabia.

Table of contents (7 chapters)

Buy this book

eBook 65,44 €
price for Spain (gross)
  • ISBN 978-3-319-74648-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 80,07 €
price for Spain (gross)
  • ISBN 978-3-319-74647-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Summability Calculus
Book Subtitle
A Comprehensive Theory of Fractional Finite Sums
Authors
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-74648-7
DOI
10.1007/978-3-319-74648-7
Softcover ISBN
978-3-319-74647-0
Edition Number
1
Number of Pages
XIII, 165
Topics