Historical Developments in Singular Perturbations

• Main Author: O'Malley, Robert E. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Subjects: Mathematics.; Differential equations.; History.; Ordinary Differential Equations.; History of Mathematical Sciences.

This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks....

Table of Contents:

• Preface
• Ludwig Prandtl's Boundary Layer Theory
• Asymptotic Approximations
• The Method of Matches Asymptotic Expansions and Its Generalizations
• Wendepunkts and Canards (Turning Points and Delayed Bifurcations)
• Two-timing, Geometric, and Multi-scale Methods
• A Simple Multi-scale Procedure for Both Oscillatory and Boundary Layer Problems
• References
• Index.