Cover art for Asymptotic Expansions for Ordinary Differential Equations
Published
Dover Publications, May 2018
ISBN
9780486824581
Format
Softcover, 384 pages
Dimensions
21.7cm × 14.2cm × 2cm

Asymptotic Expansions for Ordinary Differential Equations by

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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 (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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