An Introduction to MATLAB® Programming and Numerical Methods for Engineers

1st Edition - April 5, 2014
Imprint: Academic Press
Authors: Timmy Siauw, Alexandre Bayen
Language: English
Paperback ISBN:
9 7 8 - 0 - 1 2 - 4 2 0 2 2 8 - 3
eBook ISBN:
9 7 8 - 0 - 1 2 - 7 9 9 9 1 4 - 2

Assuming no prior background in linear algebra or real analysis, An Introduction to MATLAB® Programming and Numerical Methods for Engineers enables you to develop good computat… Read more

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Assuming no prior background in linear algebra or real analysis, An Introduction to MATLAB® Programming and Numerical Methods for Engineers enables you to develop good computational problem solving techniques through the use of numerical methods and the MATLAB® programming environment. Part One introduces fundamental programming concepts, using simple examples to put new concepts quickly into practice. Part Two covers the fundamentals of algorithms and numerical analysis at a level allowing you to quickly apply results in practical settings.

Dedication
Preface
- Purpose
- Prerequisites
- Organization
- What’s Missing?
- How to Read this Book
- MATLAB Version
Acknowledgments
List of Figures
Part 1: Introduction to Programming for Engineers
Chapter 1. MATLAB^® Basics
- Abstract
- Motivation
- 1.1 Getting Started with the MATLAB^® Environment
- 1.2 MATLAB^® as a Calculator
- 1.3 Logical Expressions and Operators
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 2. Variables and Basic Data Structures
- Abstract
- Motivation
- 2.1 Variables and Assignment
- 2.2 Double Arrays
- 2.3 Char Arrays
- 2.4 Struct Arrays
- 2.5 Cell Arrays
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 3. Functions
- Abstract
- Motivation
- 3.1 Function Basics
- 3.2 Function Workspace
- 3.3 MATLAB^®’s Path
- 3.4 Subfunctions
- 3.5 Function Handles
- 3.6 Script Files
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 4. Branching Statements
- Abstract
- Motivation
- 4.1 If-Else Statements
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 5. Iteration
- Abstract
- Motivation
- 5.1 For-Loops
- 5.2 Indefinite Loops
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 6. Recursion
- Abstract
- Motivation
- 6.1 Recursive Functions
- 6.2 Divide and Conquer
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 7. Complexity
- Abstract
- Motivation
- 7.1 Complexity and Big-O Notation
- 7.2 Complexity Matters
- 7.3 The Profiler
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 8. Representation of Numbers
- Abstract
- Motivation
- 8.1 Base-N and Binary
- 8.2 Floating Point Numbers
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 9. Errors, Good Programming Practices, and Debugging
- Abstract
- Motivation
- 9.1 Error Types
- 9.2 Avoiding Errors
- 9.3 Try/Catch
- 9.4 Type Checking
- 9.5 Debugging
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 10. Reading and Writing Data
- Abstract
- Motivation
- 10.1 .mat Files
- 10.2 .txt Files
- 10.3 .xls Files
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 11. Visualization and Plotting
- Abstract
- 11.1 2D Plotting
- 11.2 3D Plotting
- 11.3 Animations and Movies
- Summary
- Vocabulary
- Functions and Operators
- Problems
Part 2: Introduction to Numerical Methods
Chapter 12. Linear Algebra and Systems of Linear Equations
- Abstract
- Motivation
- 12.1 Sets
- 12.2 Vectors
- 12.3 Matrices
- 12.4 Linear Transformations
- 12.5 Systems of Linear Equations
- 12.6 Solutions to Systems of Linear Equations
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 13. Least Squares Regression
- Abstract
- Motivation
- 13.1 Least Squares Regression Problem Statement
- 13.2 Least Squares Regression Derivation (Linear Algebra)
- 13.3 Least Squares Regression Derivation (Multivariable Calculus)
- 13.4 Least Squares Regression in MATLAB^®
- 13.5 Log Tricks for Nonlinear Estimation Functions
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 14. Interpolation
- Abstract
- Motivation
- 14.1 Interpolation Problem Statement
- 14.2 Linear Interpolation
- 14.3 Cubic Spline Interpolation
- 14.4 Lagrange Polynomial Interpolation
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 15. Series
- Abstract
- Motivation
- 15.1 Expressing Functions with Taylor Series
- 15.2 Approximations with Taylor Series
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 16. Root Finding
- Abstract
- Motivation
- 16.1 Root Finding Problem Statement
- 16.2 Tolerance
- 16.3 Bisection Method
- 16.4 Newton-Raphson Method
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 17. Numerical Differentiation
- Abstract
- Motivation
- 17.1 Numerical Differentiation Problem Statement
- 17.2 Approximating Derivatives with Taylor Series
- 17.3 Approximations of Higher Order Derivatives
- 17.4 Numerical Differentiation with Noise
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 18. Numerical Integration
- Abstract
- Motivation
- 18.1 Numerical Integration Problem Statement
- 18.2 Riemann’s Integral
- 18.3 Trapezoid Rule
- 18.4 Simpson’s Rule
- 18.5 Computing Integrals in MATLAB^®
- Summary
- Vocabulary
- Functions and Operators
- Problems
Chapter 19. Ordinary Differential Equations (ODEs)
- Abstract
- Motivation
- 19.1 ODE Initial Value Problem Statement
- 19.2 Reduction of Order
- 19.3 The Euler Method for Solving ODEs
- 19.4 Numerical Error and Instability
- 19.5 Predictor-Corrector Methods
- 19.6 MATLAB^® ODE Solvers
- Summary
- Vocabulary
- Functions and Operators
- Problems
Index

Timmy Siauw

Affiliations and expertise

University of California, Berkeley, USA

Alexandre Bayen

Alexandre Bayen is the Liao-Cho Professor of Engineering at UC Berkeley. He is a Professor of Electrical Engineering and Computer Science, and Civil and Environmental Engineering. He is currently the Director of the Institute of Transportation Studies (ITS). He is also a Faculty Scientist in Mechanical Engineering, at the Lawrence Berkeley National Laboratory (LBNL). He received the Engineering Degree in applied mathematics from the Ecole Polytechnique, France, in 1998, the M.S. and Ph.D. in aeronautics and astronautics from Stanford University in 1998 and 1999 respectively. He was a Visiting Researcher at NASA Ames Research Center from 2000 to 2003. Between January 2004 and December 2004, he worked as the Research Director of the Autonomous Navigation Laboratory at the Laboratoire de Recherches Balistiques et Aerodynamiques, (Ministere de la Defense, Vernon, France), where he holds the rank of Major. He has been on the faculty at UC Berkeley since 2005. Bayen has authored two books and over 200 articles in peer reviewed journals and conferences. He is the recipient of the Ballhaus Award from Stanford University, 2004, of the CAREER award from the National Science Foundation, 2009 and he is a NASA Top 10 Innovators on Water Sustainability, 2010. His projects Mobile Century and Mobile Millennium received the 2008 Best of ITS Award for ‘Best Innovative Practice’, at the ITS World Congress and a TRANNY Award from the California Transportation Foundation, 2009. Mobile Millennium has been featured more than 200 times in the media, including TV channels and radio stations (CBS, NBC, ABC, CNET, NPR, KGO, the BBC), and in the popular press (Wall Street Journal, Washington Post, LA Times). Bayen is the recipient of the Presidential Early Career Award for Scientists and Engineers (PECASE) award from the White House, 2010. He is also the recipient of the Okawa Research Grant Award, the Ruberti Prize from the IEEE, and the Huber Prize from the ASCE.

Affiliations and expertise

Associate Professor, Department of Electrical Engineering and Computer Sciences and the Department of Civil and Environmental Engineering, University of California, Berkeley, USA

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