This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to
Introduction to Perturbation Methods
โ Scribed by Mark H. Holmes (auth.)
- Publisher
- Springer New York
- Year
- 1995
- Tongue
- English
- Leaves
- 344
- Series
- Texts in Applied Mathematics 20
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front Matter....Pages i-xiii
Introduction to Asymptotic Approximations....Pages 1-45
Matched Asymptotic Expansions....Pages 47-104
Multiple Scales....Pages 105-159
The WKB and Related Methods....Pages 161-222
The Method of Homogenization....Pages 223-248
Introduction to Bifurcation and Stability....Pages 249-295
Back Matter....Pages 297-337
โฆ Subjects
Analysis
๐ SIMILAR VOLUMES
This introductory graduate text is based on a graduate course the author has taught repeatedly over the last twenty or so years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and
This book is an introductory graduate text dealing with many of the perturbation methods currently used by applied mathematicians, scientists, and engineers. The author has based his book on a graduate course he has taught several times over the last ten years to students in applied mathematics, eng
Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity.<BR><BR>This
Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity.This book int
<p><p>These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level.<br><br>Singularly perturbed systems appear natura