Author Description

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 methodsbasic and beyondfor 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.? Perturbation methods work for both weakly and strongly nonlinear problems;? Modern mathematics, e.g., homotopy and calculus of variations, is combined into perturbation methods, leading to a powerful mathematical tool for all students and teachers, scientists and engineers;? Ancient Chinese mathematics, when revisited in the light of new developments, reveals hidden pearls, and can be readily applied to modern problems.