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Asymptotic Expansions for Ordinary Differential Equations
Asymptotic Expansions for Ordinary Differential Equations
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"A book of great value ... it should have a profound influence upon future research." -- Mathematical Reviews
In this outstanding text, author Wolfgang Wasow concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. Starting with some basic properties of linear differential equations in the complex domain, the treatment advances to considerations of regular and irregular singular points, asymptotic power series, generalizations by means of Jordan's canonical form, and some special asymptotic methods.
Subsequent chapters explore asymptotic expansions with respect to a parameter, turning point problems, nonlinear equations, singular perturbations, and integration of differential equations by factorial series. Numerous problems appear throughout the text, which is ideal for course work or self-study.
Author: Wolfgang Wasow
Publisher: Dover Publications
Published: 03/21/2018
Pages: 384
Binding Type: Paperback
Weight: 1.00lbs
Size: 8.30h x 5.40w x 0.80d
ISBN: 9780486824581
In this outstanding text, author Wolfgang Wasow concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. Starting with some basic properties of linear differential equations in the complex domain, the treatment advances to considerations of regular and irregular singular points, asymptotic power series, generalizations by means of Jordan's canonical form, and some special asymptotic methods.
Subsequent chapters explore asymptotic expansions with respect to a parameter, turning point problems, nonlinear equations, singular perturbations, and integration of differential equations by factorial series. Numerous problems appear throughout the text, which is ideal for course work or self-study.
Author: Wolfgang Wasow
Publisher: Dover Publications
Published: 03/21/2018
Pages: 384
Binding Type: Paperback
Weight: 1.00lbs
Size: 8.30h x 5.40w x 0.80d
ISBN: 9780486824581
About the Author
Wolfgang Wasow (1909-93) was Professor of Mathematics at the University of Wisconsin. His other books include Finite Difference Methods for Partial Differential Equations and Linear Turning Point Theory.
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