An Introduction to MATLAB® Programming and Numerical Methods for Engineers - 1st Edition - ISBN: 9780124202283, 9780127999142

An Introduction to MATLAB® Programming and Numerical Methods for Engineers

1st Edition

Authors: Timmy Siauw Alexandre Bayen
Paperback ISBN: 9780124202283
eBook ISBN: 9780127999142
Imprint: Academic Press
Published Date: 18th April 2014
Page Count: 340
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Description

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

Readership

Engineering students and practicing engineers learning MATLAB® programming and numerical methods for the first time.

Table of Contents

  • 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

Details

No. of pages:
340
Language:
English
Copyright:
© Academic Press 2015
Published:
Imprint:
Academic Press
eBook ISBN:
9780127999142
Paperback ISBN:
9780124202283

About the Author

Timmy Siauw

Affiliations and Expertise

University of California, Berkeley, USA

Alexandre Bayen

Associate Professor, Systems Engineering

Department of Electrical Engineering and Computer Sciences

Department of Civil and Environmental Engineering

University of California Berkeley

Ph.D. Aeronautics and Astronautics, Stanford University, 2003

Research interests: Mobile internet applications (location based services), participatory sensing, inverse modeling and data assimilation, control, estimation and optimization of distributed parameter systems.

Awards

Presidential Early Career Award for Scientists and Engineers (PECASE), The White House, 2010

NASA Top 10 Innovators on Water Sustainability (Launch 2010), 2010

CAREER Award, National Science Foundation, 2009

TRANNY Award, California Transportation Foundation, 2009

Best of ITS Award, citation for "Best Innovating Practice", ITS World Congress, New York, 2008

Clean Technology Innovation Prize, Berkeley Center for Entrepreneurship & Technology, 2008

William F. Ballhaus Prize for Outstanding Doctoral Dissertation in Aeronautics, Stanford University, 2004

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

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."--Computing Reviews, An Introduction to MATLAB® Programming and Numerical Methods for Engineers

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