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Form Symmetries and Reduction of Order in Difference Equations

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Synopses & Reviews

Publisher Comments:

As the field of difference equations expands, the discovery of general new methods of study and analysis can aid considerably in the evolution of the subject. This book presents a new systematic approach to reduction of order by changing variables. The author builds a step-by-step framework by defining the context for a formalization based on semiconjugacy and then presenting results for large classes of difference equations to which the new methods apply. The text shows that the characteristic polynomial and both the complimentary and particular solutions can be calculated directly from additively separable form symmetries of a larger class of difference equations.

Book News Annotation:

Sedaghat (Virginia Commonwealth U.) presents a new approach to formulating and studying difference equations in which the underlying space is typically an algebraic group. He does not shun topology, however, and says that most of the examples he discusses involve equations in garden-variety finite-dimensional Euclidean spaces. The study might interest upper-level and graduate students of mathematics, or scientists who use difference equations for modeling. Among the topics are homogeneous equations of degree one, time-dependent form symmetries, and non-recursive difference equations. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN:
9781439807606
Author:
Sedaghat, Hassan
Publisher:
CRC Press
Subject:
Mathematics-Applied
Publication Date:
20110531
Binding:
HARDCOVER
Language:
English

Related Subjects


» Science and Mathematics » Biology » General
» Science and Mathematics » Mathematics » Applied
» Science and Mathematics » Mathematics » Differential Equations
» Science and Mathematics » Mathematics » General
» Science and Mathematics » Physics » General
» Science and Mathematics » Physics » Math

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