Perturbation Methods in Science and Engineering

Reza N. Jazar (Autor)

Buch | Hardcover

XVII, 578 Seiten

2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-73460-2 (ISBN)

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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.

lt;p>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.

Erscheinungsdatum	14.07.2021
Zusatzinfo	XVII, 578 p. 180 illus., 178 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1051 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Technik ► Elektrotechnik / Energietechnik
	Technik ► Maschinenbau
Schlagworte	Approximate Solution in Time Domain • asymptotic methods • Duffing Equation • Dynamics Systems • Frequency Response Approximation • Lindstad-Poincare methods • nonlinear dynamic systems • Perturbation Methods • Time Response Approximation • trigonometric approximation
ISBN-10	3-030-73460-9 / 3030734609
ISBN-13	978-3-030-73460-2 / 9783030734602
Zustand	Neuware