Perturbation methods in science and engineering / Reza N. Jazar.
Jazar, Reza N., author.
2021
QA871 .J39 2021
Available Online

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Title Perturbation methods in science and engineering / Reza N. Jazar.
Author Jazar, Reza N., author.
ISBN 9783030734626 (electronic bk.)
3030734625 (electronic bk.)
9783030734602
3030734609
DOI https://doi.org/10.1007/978-3-030-73462-6
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations (chiefly color)
Item Number 10.1007/978-3-030-73462-6 doi
Call Number QA871 .J39 2021
Dewey Decimal Classification 515/.392
Summary 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. 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file
PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed July 29, 2021).
Available in Other Form Perturbation methods in science and engineering.
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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-Poincare Method
Chapter7. Mathieu Equation
Chapter8. Averaging Method
Chapter9. Multiple Scales Method.

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