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Applied Mathematics for Engineers, Fifth Edition, by Ramin S. Esfandiari
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The principal goal of this book is to provide the reader with a comprehensive knowledge of fundamental concepts and methods of applied mathematics used in different engineering disciplines. Each topic is covered in great detail, followed by several meticulously worked-out examples, as well as a problem set containing a large number of additional related exercises. Engineering applications are stressed and integrated throughout the book, and consistent with that notion, derivations of the mathematical models of many physical systems are included to familiarize the reader with the basic laws and proper engineering terminology. The fourth edition of the book (2007) has been entirely revamped to produce this latest edition through the addition of several topics and removal of a few others. The book is essentially divided into three main parts. The first part covers complex analysis (Chapter 1), ordinary and partial differential equations (Chapters 2 4 and 7), Laplace transformation (Chapter 5), and Fourier analysis (Chapter 6). In the second part, a detailed coverage of matrix analysis (Chapter 8) and matrix eigenvalue problem (Chapter 9) is presented. Several applications in engineering vibrations are included for a better understanding of the effectiveness of matrix computations in determining systems natural frequencies and mode shapes. The third part of the book is completely devoted to numerical methods with applications in different engineering disciplines. The powerful software MATLAB® is introduced in Chapter 10 and is used to perform symbolic, graphical, and numerical tasks. Chapter 11 introduces techniques for solving equations and systems. Chapter 12 discusses curve fitting and interpolation techniques, while Chapter 13 covers numerical differentiation and integration methods. Chapter 14 presents numerical methods for solving initial- and boundary-value problems. Chapter 15 introduces methods to approximate eigenvalues of a matrix. Numerical solution of partial differential equations is covered in Chapter 16.
- Sales Rank: #1353670 in Books
- Published on: 2013-06-10
- Binding: Hardcover
- 662 pages
About the Author
Dr. Ramin Esfandiari is a professor of Mechanical and Aerospace Engineering at California State University, Long Beach, where he has served as a faculty member since 1989. He received his B.S. in Mechanical Engineering, and M.A. and Ph.D. in Applied Mathematics (Optimal Control), all from the University of California, Santa Barbara. He has authored several refereed research papers in high quality engineering and scientific journals, including Journal of Optimization Theory and Applications, Journal of Sound and Vibration, Optimal Control Applications and Methods, and ASME Journal of Applied Mechanics. Dr. Esfandiari is the author of Numerical Methods for Engineers and Scientists Using MATLAB®, CRC Press, 2013; Modeling and Analysis of Dynamic Systems (with Dr. Bei Lu), 2nd edition, CRC Press, 2013; Matrix Analysis and Numerical Methods for Engineers, Atlantis, 2007; MATLAB® Manual for Advanced Engineering Mathematics, Atlantis, 2007; Springer Handbook of Mechanical Engineering, Chapter 1, Springer-Verlag, 2009; Dynamic Systems: Modeling and Analysis (with Dr. Hung Vu), McGraw-Hill, 1997. Professor Esfandiari is the recipient of several teaching and research awards, including two Meritorious Performance and Professional Promise Awards, TRW Excellence in Teaching and Scholarship Award, the Distinguished Faculty Teaching Award, and various Scholarly and Creative Activities Awards.
Most helpful customer reviews
2 of 2 people found the following review helpful.
Accessible Version of Engineering Mathematics
By Steven J. Marrano
This text is written for the junior or senior undergraduate or for the graduate student who must take a math course. The book includes:
1) Ordinary Differential Equations
2) Partial Differential Equations and Fourier Analysis
3) Linear Algebra
4) Complex Analysis
5) Probability and Statistics
There are several attractive qualities to this book:
First, the author seems to understand that engineers use math as a tool and he integrates physical phenomena into the problems where this is appropriate.
Second, there are no mathematical proofs in the book. Engineers do not worry about why something works mathematically. Mathematics is a tool used to solve a physical problem. In the words of the electrical engineer Oliver Heaviside when he found out that mathematicians did not approve of his use of new notation to solve differential equations he said "I do not have to know how my digestive system works in order to enjoy a good meal". His answer is entirely appropriate today.
This is not to suggest that the book lacks rigor; rather it is written by an engineering professor who understands what his students need from a math text book. If you are math purist, this book is not for you. If you like worked problems, this book will help you.
Third, you do not need to have a copy of MATHCAD, MATLAB, MAPLE or the like to read this book and get something from it. Many of the other major engineering math texts actively integrated these popular programs into their texts. While this may seem like a good idea, I do not agree with it. In an exam situation, you will not have MATLAB, MAPLE, or MATHCAD to help you solve the problems. You will have to use your brain and all of the timeless engineering skills (such as your ability to know what is most important and what you can ignore). These skills are better learned with paper and pencil because this forces you to learn what you are doing and to stop yourself from making elementary mistakes.
Too many engineering math textbooks use computer programs as a crutch. I often ask younger engineers what happens when the power goes out to their laptop or the batteries in their calculator (capable of performing symbolic algebraic computation) goes out. I often get blank stares.
While I have nothing against MATHCAD, MATLAB, MAPLE, or any other fine computational product, they are only tools that are supposed to help you.
Forth, the book does not have any "fluff" in it (such as biographical notes or little introductions to "motivate" the subject matter) that pad the page count but offer the student (who has to perform on exams) any real insight. If I want to read about math giants like Euler, Newton, Laplace, etc. I can go to the library and read about them. These things do not help me pass exams or learn the material. The author rightly puts his time into working examples.
The only improvement I would recommend is the inclusion of material on the Z transform in the book to make it useful for the electrical engineer. While there are some electrical models discussed in the book, many of the examples come from mechanical engineering. I suspect that this stems from the author's background as a mechanical and aerospace instructor. However, I would argue that even mechanical engineers need some background with the Z transform as it is used in a variety of mechanical platforms (real time data acquisition from machinery is but one area and modern control systems that are completely digital is another area).
0 of 1 people found the following review helpful.
Nice book Delivered on time
By saurabh rai
Nice book
Delivered on time
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