Applied Numerical Methods with MATLAB for Engineers and Scientists

Applied Numerical Methods with MATLAB for Engineers and Scientists, 3/e

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

Bibliography
Index

2012 McGraw-Hill Higher Education

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