Applied Numerical Methods W/MATLAB for Engineers & Scientists

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 1/27/2011
  • Publisher: McGraw-Hill Science Engineering
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Steven Chapra's Applied Numerical Methods with MATLAB, third edition, is written for engineering and science students who need to learn numerical problem solving. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The book is designed for a one-semester or one-quarter course in numerical methods typically taken by undergraduates. The third edition feature new chapters on Numerical Differentiation, Optimization, and Boundary-Value Problems (ODEs) and is accompanied by an extensive set of m-files and instrutor materials.

Table of Contents

Part One: 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 Two: Roots and Optimization

Chapter 5: Roots: Bracketing Methods

Chapter 6: Roots: Open Methods

Chapter 7: Optimization

Part Three: 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 Four: 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 Five: Integration and Differentiation

Chapter 19: Numerical Integration Formulas

Chapter 20: Numerical Integration of Functions

Chapter 21: Numerical Differentiation

Part Six: 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



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