Perturbation Methods in Science and Engineering

Reza N. Jazar is a Professor of Mechanical Engineering. Reza received his PhD degree from Sharif University of Technology, Tehran, Iran; MSc and BSc from Tehran Polytechnic, Tehran, Iran. His areas of expertise include Nonlinear Dynamic Systems and Applied Mathematics. He obtained original results in non-smooth dynamic systems, applied nonlinear vibrating problems, time optimal control robotics, and mathematical modeling of vehicle dynamics and stability. He authored several monographs in vehicle dynamics, robotics, dynamics, vibrations, mathematics, and published numerous professional articles, as well as book chapters in research volumes. Most of his textbooks have been adopted by many universities for teaching and research and by many research agencies as standard model for research results. Dr. Jazar had the pleasure to work in several Canadian, American, Asian, and Middle Eastern universities, as well as several years in Automotive Industries all around the world. Working in different engineering firms and educational systems provide him a vast experience and knowledge to publish his researches on important topics in engineering and science. His unique style of writing helps readers to learn the topics deeply in an easy way.

• Part1. Preliminaries.- Chapter1. P1: Principles of Perturbations.- Chapter2. P2: Differential Equations.- Chapter3. P3: Approximation of Functions.- Part2. Perturbation Methods.- Chapter4. Harmonic Balance Method.- Chapter5. Straightforward Method.- Chapter6. Lindstedt-Poincaré Method.- Chapter7. Mathieu Equation.- Chapter8. Averaging Method.- Chapter9. Multiple Scales Method.