Cover image for Applied numerical methods with MATLAB for engineers and scientists
Title:
Applied numerical methods with MATLAB for engineers and scientists
Personal Author:
Edition:
3rd ed.
Publication Information:
New York, NY : McGraw-Hill, 2012
Physical Description:
xvi, 653 p. : ill. ; 25 cm.
ISBN:
9780073401102
Title Subject:

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30000010236098 QA297 C485 2012 Open Access Book Book
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30000010273530 QA297 C485 2012 Open Access Book Book
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30000010257950 QA297 C485 2012 Open Access Book Book
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Summary

Summary

Steven Chapra's Applied Numerical Methods with MATLAB for Engineers and Scientists with MATLAB, third edition, is written for engineering and science students who want to learn and apply numerical methods in order to solve problems in engineering and science. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. This text is designed for a one-semester or one-quarter course in numerical methods typically taken by undergraduates.

The third edition features new chapters on Eigenvalues and Fourier Analysis and is accompanied by an extensive set of m-files and instructor materials.


Table of Contents

Part 1 Modeling, Computers, and Error Analysis
Chapter 1 Mathematical Modeling, Numerical Methods and Problem Solving
Chapter 2 MATLAB Fundamentals
Chapter 3 Programming with Matlab
Chapter 4 Roundoff and Truncation Errors
Part 2 Roots and Optimization
Chapter 5 Roots: Bracketing Methods
Chapter 6 Roots: Open Methods
Chapter 7 Optimization
Part 3 Linear Systems
Chapter 8 Linear Algebraic Equations and Matrices
Chapter 9 Gauss Elimination
Chapter 10 LU Factorization
Chapter 11 Matrix Inverse and Condition
Chapter 12 Iterative Methods
Chapter 13 Eigenvalues
Part 4 Curve Fitting
Chapter 14 Linear Regression
Chapter 15 General Linear Least-Squares and Nonlinear Regression
Chapter 16 Fourier Analysis
Chapter 17 Polynomial Interpolation
Chapter 18 Splines and Piecewise Interpolation
Part 5 Integration and Differentiation
Chapter 19 Numerical Integration Formulas
Chapter 20 Numerical Integration of Functions
Chapter 21 Numerical Differentiation
Part 6 Ordinary Differential Equations
Chapter 22 Initial-Value Problems
Chapter 23 Adaptive Methods and Stiff Systems
Chapter 24 Boundary-Value Problems
Appendix A Matlab Built-in Functions
Appendix B MatlaB M-file Functions
Bibliography
Index