Difference Algebra (Paperback)

Alexander Levin

ISBN 10: 904817774X / ISBN 13: 9789048177745

Edité par Springer, Dordrecht, 2010

Paperback. Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields. The first stage of this development of the theory is associated with its founder, J.F. Ritt (1893-1951), and R. Cohn, whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrown the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations with delay, algebraic structures with operators, group and semigroup rings.The monograph is intended for graduate students and researchers in difference and differential algebra, commutative algebra, ring theory, and algebraic geometry. The book is self-contained; it requires no prerequisites other than the knowledge of basic algebraic concepts and a mathematical maturity of an advanced undergraduate. This book contains a systematic study of partial difference algebraic structures and their applications, as well as coverage of the classical theory of ordinary difference rings and field extensions. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9789048177745

Synopsis :

Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields. The first stage of this development of the theory is associated with its founder, J.F. Ritt (1893-1951), and R. Cohn, whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrown the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations with delay, algebraic structures with operators, group and semigroup rings.

The monograph is intended for graduate students and researchers in difference and differential algebra, commutative algebra, ring theory, and algebraic geometry. The book is self-contained; it requires no prerequisites other than the knowledge of basic algebraic concepts and a mathematical maturity of an advanced undergraduate.

Présentation de l'éditeur:

This book contains a systematic study of partial difference algebraic structures and their applications, as well as coverage of the classical theory of ordinary difference rings and field extensions.

Détails bibliographiques

Titre : Difference Algebra (Paperback)
Éditeur : Springer, Dordrecht
Date d'édition : 2010
Reliure : Paperback
Etat : new
Edition : Edition originale