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Perturbation Methods in Science and Engineering

  • Textbook
  • © 2021

Overview

Authors:
  1. Reza N. Jazar

    1. School of Engineering, RMIT University, Melbourne, Australia

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  • Illustrates all key concepts with solved examples
  • Includes numerous exercises for each chapter
  • Covers both time and steady state responses of nonlinear differential equations
  • Covers necessary theory and applied to a variety of topics in optimization and control

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Part I

    1. Front Matter

      Pages 1-2
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    2. P1: Principles of Perturbations

      • Reza N. Jazar
      Pages 3-52

    3. P2: Differential Equations

      • Reza N. Jazar
      Pages 53-177

    4. P3: Approximation of Functions

      • Reza N. Jazar
      Pages 179-258

  3. Part II

    1. Front Matter

      Pages 259-261
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    2. Harmonic Balance Method

      • Reza N. Jazar
      Pages 263-353

    3. Straightforward Method

      • Reza N. Jazar
      Pages 355-385

    4. Lindstedt-Poincaré Method

      • Reza N. Jazar
      Pages 387-431

    5. Mathieu Equation

      • Reza N. Jazar
      Pages 433-482

    6. Averaging Method

      • Reza N. Jazar
      Pages 483-525

    7. Multiple Scale Method

      • Reza N. Jazar
      Pages 527-550

  4. Back Matter

    Pages 551-578
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Keywords

About this book

Perturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and engineering, from an application viewpoint. This book bridges the gap between theory and applications, in new as well as classical problems. The engineers and graduate students who read this book will be able to apply their knowledge to a wide range of applications in different engineering disciplines. The book begins with a clear description on limits of mathematics in providing exact solutions and goes on to show how pioneers attempted to search for approximate solutions of unsolvable problems. Through examination of special applications and highlighting many different aspects of science, this text provides an excellent insight into perturbation methods without restricting itself to a particular method. This book is ideal for graduate students in engineering, mathematics, and physical sciences, as well as researchers in dynamic systems.

Authors and Affiliations

  • School of Engineering, RMIT University, Melbourne, Australia

    Reza N. Jazar

About the author

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.


Bibliographic Information

  • Book Title: Perturbation Methods in Science and Engineering

  • Authors: Reza N. Jazar

  • DOI: https://doi.org/10.1007/978-3-030-73462-6

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-73460-2Published: 13 July 2021

  • eBook ISBN: 978-3-030-73462-6Published: 12 July 2021

  • Edition Number: 1

  • Number of Pages: XVII, 578

  • Number of Illustrations: 2 b/w illustrations, 178 illustrations in colour

  • Topics: Vibration, Dynamical Systems, Control, Systems Theory, Control, Control, Robotics, Mechatronics

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