Numerical Methods for Engineers – Steven Chapra – 5th Edition

Description

The fifth edition of Numerical for with and Programming Applications continues its tradition of excellence.
The revision retains the successful pedagogy of the prior editions. and Canale’s unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation, preparing the for what is to come in a motivating and engaging manner. Each part closes with an Epilogue containing sections called Trade-Offs, Important Relationships and Formulas, and Advanced Methods and Additional References. Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods.

Users will find use of software packages, specifically MATLAB and Excel with VBA. This includes material on developing MATLAB m-files and VBA macros. Also, many, many more challenging are included. The expanded breadth of disciplines covered is especially evident in the , which now cover such areas as and biomedical engineering.

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