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Title Differential and difference dimension polynomials / by M.V. Kondratieva ... [and others]
Published Dordrecht ; Boston : Kluwer Academic, [1999]


Location Call no. Vol. Availability
 W'PONDS  512.56 Kon/Dad  AVAILABLE
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 Difference-Differential Algebra -- Ch. VII. Some Application of Dimension Polynomials in Difference-Differential Algebra -- Ch. VIII. Dimension Polynomials of Filtered G-modules and Finitely Generated G-fields 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 405-415) and index
Subject Differential algebra.
Differential dimension polynomials.
Author Kondratieva, M. V.
LC no. 98047489
ISBN 0792354842 (alk. paper)