This book presents methods for the summation of infinite and finite
series and the related identities and inversion relations. The
summation includes the column sums and row sums of lower triangular
matrices. The convergence of the summation of infinite series is
considered. The author's focus is on symbolic methods and the
Riordan array approach. In addition, this book contains hundreds
summation formulas and identities, which can be used as a handbook
for people working in computer science, applied mathematics, and
computational mathematics, particularly, combinatorics,
computational discrete mathematics, and computational number
theory. The exercises at the end of each chapter help deepen
understanding. Much of the materials in this book has never
appeared before in textbook form. This book can be used as a
suitable textbook for advanced courses for high lever undergraduate
and lower lever graduate students. It is also an introductory
self-study book for re- searchers interested in this field, while
some materials of the book can be used as a portal for further
research.
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