Description 
xiii, 422 pages ; 25 cm 
Series 
Mathematics and its applications ; v. 461 

Mathematics and its applications (Kluwer Academic Publishers) ; v. 461

Contents 
Ch. I. Preliminaries  Ch. II. Numerical Polynomials  Ch. III. Basic Notion of Differential and Difference Algebra  Ch. IV. Grobner Bases  Ch. V. Differential Dimension Polynomials  Ch. VI. Dimension Polynomials in Difference and DifferenceDifferential Algebra  Ch. VII. Some Application of Dimension Polynomials in DifferenceDifferential Algebra  Ch. VIII. Dimension Polynomials of Filtered Gmodules and Finitely Generated Gfields Extensions  Ch. IX. Computation of Dimension Polynomials 
Summary 
This book is the first monograph wholly devoted to the investigation of differential and difference dimension theory. The differential dimension polynomial describes in exact terms the freedom degree of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations. This book will be of interest to researchers and graduate students whose work involves differential and difference equations, algebra and number theory, partial differential equations, combinatorics and mathematical physics 
Bibliography 
Includes bibliographical references (pages 405415) and index 
Subject 
Differential algebra.


Differential dimension polynomials.

Author 
Kondratieva, M. V.

LC no. 
98047489 
ISBN 
0792354842 (alk. paper) 
