Articles liés à Symmetry and Separation of Variables

Symmetry and Separation of Variables - Couverture souple

Livre 145 sur 188: Encyclopedia of Mathematics and its Applications

Miller, Willard

 
9780521177399: Symmetry and Separation of Variables
Couverture souple
ISBN 10 : 0521177391 ISBN 13 : 9780521177399
Editeur : Cambridge University Press, 2012

Synopsis

Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory.

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

Présentation de l'éditeur

Originally published in 1977, this volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner. Some group-theoretic twists in the ancient method of separation of variables that can be used to provide a foundation for much of special function theory are shown. In particular, it is shown explicitly that all special functions that arise via separation of variables in the equations of mathematical physics can be studied using group theory.

Revue de presse

Review of the hardback: ' ... an important step in the group-theoretic approach to special functions. It is clearly written and should be accessible to a broad spectrum of readers'. Mathematical Reviews

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

Éditeur
Cambridge University Press
Date d'édition
2012
Langue
anglais
ISBN 10 
0521177391
ISBN 13 
9780521177399
Reliure
Broché
Nombre de pages
318
Coordonnées du fabricant
non disponible
Personne responsable
non disponible