Numerical Methods for Engineers – Steven Chapra – 3rd Edition

Description

Steven ’s Applied with , third edition, is written for and science who need to learn numerical problem solving. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The is designed for a one-semester or one-quarter course in numerical 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 Content

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