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Approximation Methods in Science and Engineering

Authors: Jazar, Reza N.

  • Covers practical model-prototype analysis and nondimensionalization of differential equations
  • Coverage includes approximate methods of responses of nonlinear differential equations
  • Discusses how to apply approximation methods to analysis, design, optimization, and control problems
  • Discusses how to implement approximation methods to new aspects of engineering and physics including nonlinear vibration and vehicle dynamics
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eBook $169.00
price for USA
  • ISBN 978-1-0716-0480-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA
About this book

Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results in real world applications. Knowing that most nonlinear equations have no analytic solution, the power series solution is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and provides a systematic method to develop better approximate solutions in continued fractions. It also shows the importance of determining stability chart of the Mathieu equation and reviews and compares several approximate methods for that. The book provides the energy-rate method to study the stability of parametric differential equations that generates much better approximate solutions.

About the authors

Professor Reza Jazar received his PhD in Nonlinear Vibrations and Applied Mathematics from Sharif University of Technology in 1997. Professor Jazar has extensive experience in the automotive industry with major world car manufacturers, along with more than 20 years of experience in academia. He is an active scientist, specializing in vehicle dynamics and stability, robotics, nonlinear vibrations, and nonlinear dynamic systems. He has invented several techniques, methods, theorems, and algorithms that are currently considered as established academic or industry techniques, among them: Razi Acceleration, Energy-Rate Method, RMS Optimization Method, and Floating-Time Method. Professor Jazar has authored and co-authored more than 200 publications, including ten research books and textbooks. His textbook Vehicle Dynamics and Robotics has been adopted as a textbook by universities worldwide. Professor Jazar is also the founder and Editor in Chief of international Journal of Nonlinear Engineering.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Static Dimensional Analysis

    Pages 3-85

    Jazar, Reza

  • Dynamic Dimensional Analysis

    Pages 87-189

    Jazar, Reza

  • Numerical Continued Fractions

    Pages 193-258

    Jazar, Reza

  • Functional Continued Fractions

    Pages 259-391

    Jazar, Reza

  • Mathieu Equation

    Pages 395-472

    Jazar, Reza

Buy this book

eBook $169.00
price for USA
  • ISBN 978-1-0716-0480-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA

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Bibliographic Information

Bibliographic Information
Book Title
Approximation Methods in Science and Engineering
Authors
Copyright
2020
Publisher
Springer US
Copyright Holder
Springer Science+Business Media, LLC, part of Springer Nature
eBook ISBN
978-1-0716-0480-9
DOI
10.1007/978-1-0716-0480-9
Hardcover ISBN
978-1-0716-0478-6
Edition Number
1
Number of Pages
XVI, 537
Number of Illustrations
7 b/w illustrations, 108 illustrations in colour
Topics