Singular Perturbation in the Physical Sciences is popular PDF and ePub book, written by John C. Neu in 2015-12-02, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Singular Perturbation in the Physical Sciences can be Read Online from any device for your convenience.
Singular Perturbation in the Physical Sciences Book PDF Summary
This book is the testimony of a physical scientist whose language is singular perturbation analysis. Classical mathematical notions, such as matched asymptotic expansions, projections of large dynamical systems onto small center manifolds, and modulation theory of oscillations based either on multiple scales or on averaging/transformation theory, are included. The narratives of these topics are carried by physical examples: Let's say that the moment when we "see" how a mathematical pattern fits a physical problem is like "hitting the ball." Yes, we want to hit the ball. But a powerful stroke includes the follow-through. One intention of this book is to discern in the structure and/or solutions of the equations their geometric and physical content. Through analysis, we come to sense directly the shape and feel of phenomena. The book is structured into a main text of fundamental ideas and a subtext of problems with detailed solutions. Roughly speaking, the former is the initial contact between mathematics and phenomena, and the latter emphasizes geometric and physical insight. It will be useful for mathematicians and physicists learning singular perturbation analysis of ODE and PDE boundary value problems as well as the full range of related examples and problems. Prerequisites are basic skills in analysis and a good junior/senior level undergraduate course of mathematical physics.
Detail Book of Singular Perturbation in the Physical Sciences PDF
- Author : John C. Neu
- Release : 02 December 2015
- Publisher : American Mathematical Soc.
- ISBN : 9781470425555
- Genre : Mathematics
- Total Page : 346 pages
- Language : English
- PDF File Size : 12,7 Mb
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