The Riordan Group and Applications

This book is a comprehensive monograph on the Riordan group, authored by founders and experts in the field. It has played a unifying role in enumerative combinatorics and has influenced other areas such as Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences, and series. It has also made links to quantum field theory and become a useful tool for computer science and computational chemistry.

Format: Paperback / softback
Length: 362 pages
Publication date: 29 April 2023
Publisher: Springer Nature Switzerland AG

The Riordan group, a vibrant and rapidly evolving field of study, is explored in depth in this comprehensive monograph, written by esteemed founders and world-renowned experts. Over the past three decades, the concept of a Riordan array has emerged as a central thread in enumerative combinatorics, unifying various branches of mathematics. The Riordan arrays and Riordan group represent a novel and promising area of mathematics, drawing influence from Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences, and series, as well as the Beal conjecture, Riemann hypothesis, and other groundbreaking ideas. In recent years, the Riordan group has forged connections with quantum field theory, offering valuable insights into computer science and computational chemistry. With its rich potential for discovery, this field is poised to expand into unexpected realms of research. Serving as a foundational resource and a catalyst for further advancements, this book is an invaluable text for anyone interested in discrete mathematics, encompassing combinatorics, number theory, matrix theory, graph theory, and algebra.

The Riordan group, a dynamic and rapidly evolving field of study, is intricately examined in this comprehensive monograph, penned by esteemed founders and renowned experts. Over the past three decades, the concept of a Riordan array has emerged as a central thread in enumerative combinatorics, unifying diverse branches of mathematics. The Riordan arrays and Riordan group represent a novel and promising area of mathematics, drawing influence from Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences, and series, as well as the Beal conjecture, Riemann hypothesis, and other groundbreaking ideas. In recent years, the Riordan group has forged connections with quantum field theory, offering valuable insights into computer science and computational chemistry. With its rich potential for discovery, this field is poised to expand into unexpected realms of research. Serving as a foundational resource and a catalyst for further advancements, this book is an invaluable text for anyone interested in discrete mathematics, encompassing combinatorics, number theory, matrix theory, graph theory, and algebra.

Weight: 587g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030941536
Edition number: 1st ed. 2022