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An Introduction to MATLAB® Programming and Numerical Methods for Engineers,

Edition 1

Editors: By Timmy Siauw and Alexandre Bayen

Publication Date: 18 Apr 2014

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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.

Key Features

Tips, warnings, and "try this" features within each chapter help the reader develop good programming practices
Chapter summaries, key terms, and functions and operators lists at the end of each chapter allow for quick access to important information
At least three different types of end of chapter exercises — thinking, writing, and coding — let you assess your understanding and practice what you've learned

About the author

By Timmy Siauw, University of California, Berkeley, USA and Alexandre Bayen, Associate Professor, Department of Electrical Engineering and Computer Sciences and the Department of Civil and Environmental Engineering, University of California, Berkeley, USA

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

Title Reviews

"The book is well written and provides a very good introduction to the field of MATLAB programming and the basic numerical methods necessary for solving engineering problems.

...a clear and easy-to-read book that introduces two fundamental subjects for future scientists and engineers: computer programming and numerical computing."—Computing Reviews

ISBN: 9780124202283

Page Count: 340

Retail Price (USD) :

Attaway. MATLAB®: A Practical Introduction To Programming And Problem Solving, Third Edition. 978-0-12-405876-7.
Hahn & Valentine. Essential MATLAB® for Engineers and Scientists, Fifth Edition. 978-0-12-394398-9.

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