Perturbation Methods
Basic and Beyond
Ji-Huan He(Author)
Elsevier (Publisher)
Published on 5. February 2006
Book
Hardback
500 pages
978-0-444-51985-6 (ISBN)
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 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.
More details
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 240 mm
Width: 165 mm
ISBN-13
978-0-444-51985-6 (9780444519856)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Content
Preface 1. Introduction 2. A Brief Introduction to Perturbatin Methods 3. Homotopy Perturbatin Method 4. Iteration Perturbatin Method 5. Parametrized Perturbatin Method 6. The Method of Energy Balance 7. Variational Iteration Method 8. Ancient Chinese Methods 9. Modified Adomian Decomposition Method