The Birth and Early Developments of Orthogonal Polynomials: A Chronological History - Couverture rigide

Brezinski, Claude; Redivo-Zaglia, Michela

 
9781611978506: The Birth and Early Developments of Orthogonal Polynomials: A Chronological History
Couverture rigide
ISBN 10 : 1611978505 ISBN 13 : 9781611978506
Editeur : Society for Industrial & Applied Mathematics,U.S., 2025

Synopsis

The shape of the Earth was a significant scientific question in the eighteenth century. When it was discovered that the Earth was flattened at the poles, scientists sought to understand the cause, leading to the study of the gravitational attraction of celestial spheroids. The solution drew upon Newton’s law of universal gravitation, which used the distance between two bodies based on the law of cosines. Expanding the inverse of this distance into a power series naturally leads to a class of orthogonal polynomials. These were introduced by Legendre and, a little bit later, by Laplace. Legendre was the first to prove their orthogonality. Thirty years later, Gauss, approaching the problem from the perspective of numerical quadrature, independently arrived at the same polynomials. Over time, as concern for the gravitational problem of spheroids waned, the intrinsic mathematical interest in orthogonal polynomials took precedence. The Birth and Early Developments of Orthogonal Polynomials: A Chronological History is the first book to describe the history of orthogonal polynomials, covering their birth and early developments from the end of the 18th century to the middle of the 20th century. It includes biographies of principal and lesser-known figures, anecdotes, and accounts of the countries and institutions involved. The book will appeal to researchers and students in applied mathematics, mathematical analysis, special functions, and orthogonal polynomials as well as to those interested in the history of mathematics and the sciences.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos des auteurs

Claude Brezinski is Professor Emeritus at the University of Lille, France.

Michela Redivo-Zaglia is Studiosa senior dello Studium Patavinum at the University of Padua, Italy.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Society for Industrial & Applied Mathematics,U.S.
Date d'édition
2025
Langue
anglais
ISBN 10 
1611978505
ISBN 13 
9781611978506
Reliure
Relié
Nombre de pages
593
Coordonnées du fabricant
non disponible
Personne responsable
non disponible