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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