The Umbral Calculus (Dover Books on Mathematics)

Book Details

• Author: Steven Roman

• Brand: Dover

• Edition: Reprint

• Binding: Paperback

• Number of Pages: 208

• Release Date: 31-05-2019

• Languages: English

• ISBN: 9780486834139

About the Book

Geared toward upper-level undergraduates and graduate students, this book provides an elementary introduction to classical umbral calculus. Requiring only a basic understanding of algebra and some applied mathematics, particularly differential equations, it offers readers a clear pathway to understanding this important mathematical theory.

Classical umbral calculus, which originated in the 1850s, continues to be an area of interest for modern mathematicians. The text covers essential topics such as Sheffer sequences and operators, along with their adjoints, providing numerous examples of associated sequences and other related concepts. The book delves into the connection constants problem, duplication formulas, Lagrange inversion formula, operational formulas, inverse relations, and binomial convolution. The final chapter introduces the more recent and less well-established forms of umbral calculus, providing a comprehensive exploration for students and scholars eager to understand this fascinating branch of mathematics.