Methods for the Summation of Series

This book provides methods for summation of infinite and finite series, including lower triangular matrix sums, with a focus on symbolic methods and the Riordan array approach. It contains hundreds of summation formulas and identities and is suitable for advanced courses, self-study, and as a portal for further research in computer science, applied mathematics, and computational mathematics.

Format: Hardback
Length: 436 pages
Publication date: 26 January 2022
Publisher: Taylor & Francis Ltd

This comprehensive text offers a wealth of methods for summation of infinite and finite series, along with related identities and inversion relations. It delves into the computation of column and row sums for lower triangular matrices, addressing the convergence of infinite series summation. The authors primarily employ symbolic techniques and the Riordan array approach, making it an invaluable resource for computer science, applied mathematics, and computational mathematics practitioners, particularly in areas such as combinatorics, computational discrete mathematics, and computational number theory.

Packed with hundreds of summation formulas and identities, this book serves as a handy handbook for professionals working in these fields. The inclusion of exercises at the end of each chapter enhances the understanding of the topics covered. Notably, much of the material in this book has never been presented in textbook form before, making it a valuable resource for advanced courses, both at the undergraduate and graduate levels. Additionally, it serves as an excellent introductory self-study book for researchers interested in this field, while certain sections can serve as a gateway for further research endeavors.

Dimension: 234 x 156 (mm)
ISBN-13: 9780367507978