Perturbation Methods

The perturbation method is one of the oldest subjects in mathematics, yet is very much alive and is still evolving. Besides its mathematical importance and its links to other branches of mathematics, it is widely used in all ramifications of modern sciences. This book serves both as a guide to the perturbation methods basic and beyond for non-mathematics students, and an aid to the non-specialists in mathematics in discovering the physical meaning of an nonlinear equation arising in a real-life problem. The methodologies suggested in this book can be easily comprehended with only a basic knowledge of Advanced Calculus, even the reader has no knowledge of homotopy in topology and calculus of variations in pure mathematics. This book is well designed for a course both at the undergraduate and graduate levels, and a valuable reference for scientists and engineers.