This book develops the foundations of "summability calculus", which is a comprehensive theory of fractional finite sums. It fills an important gap in the litera

Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. It is intended for graduate students pursuing PhDs in pure mathematics but

Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study o

Addressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answ

Summability Theory and Its Applications explains various aspects of summability and demonstrates its applications in a rigorous and coherent manner. The content