Difference Algebra (Paperback)

Alexander Levin

ISBN 10: 904817774X / ISBN 13: 9789048177745

Edité par Springer, Dordrecht, 2010

A propos de cet article

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 multiple locations in the US or from the UK, depending on stock availability.

N° de réf. du vendeur 9789048177745

Détails bibliographiques

• Titre: Difference Algebra (Paperback)
• Éditeur: Springer, Dordrecht
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 904817774X
• ISBN à 13 chiffres: 9789048177745
• Reliure: Paperback
• Édition: Edition originale
• État de l'article: new

A propos de ce titre

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.