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Algebraic methods in nonlinear perturbation theory

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Algebraic methods in nonlinear perturbation theory Cover

 

Synopses & Reviews

Publisher Comments:

Of interest to everybody working on perturbation theory in differential equations, this book requires only a standard mathematical background in engineering and does not require reference to the special literature. Topics covered include: matrix perturbation theory; systems of ordinary differential equations with small parameters; reconstruction and equations in partial derivatives. While boundary problems are not discussed, the book is clearly illustrated by numerous examples.

Book News Annotation:

Develops a formalism generalizing the mathematical notion of a normal form and a standard method for calculating the asymptotics; proposes an approach to reconstruction problems; discusses the possibility of minimization; and shows how to extend the formalism to equations involving partial derivatives. Assumes the mathematical background of an engineer. Includes only a minimal bibliography. No date is given for the original Russian edition.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Table of Contents

Contents: Matrix Perturbation Theory.- Systems of Ordinary Differential Equations with a Small Parameter.- Examples.- Reconstruction.- Equations in Partial Derivatives.- References.- Index.

Product Details

ISBN:
9780387974910
Author:
Bogaevskii, V. N.
Publisher:
Springer
Author:
Povzner, A.
Author:
Bogaevski, V.N.
Location:
New York, NY
Subject:
Mathematical Physics
Subject:
Nonlinear theories
Subject:
Perturbation (mathematics)
Subject:
Differential Equations
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Mathematics-Differential Equations
Subject:
Physics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Applied Mathematical Sciences
Series Volume:
88
Publication Date:
May 1991
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
277
Dimensions:
235 x 155 mm 1270 gr

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Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Physics » Math

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Product details 277 pages Springer-Verlag,c1991. - English 9780387974910 Reviews:
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