# Applied Numerical Methods with MATLAB for Engineers and Scientists, 4th Edition

## Book Description

Applied Numerical Methods with MATLAB is written for students who want to learn and apply numerical methods in order to solve problems in engineering and science. As such, the methods are motivated by problems rather than by mathematics. That said, sufficient theory is provided so that students come away with insight into the techniques and their shortcomings.

McGraw-Hill Education's Connect, is also available as an optional, add on item. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, how they need it, so that class time is more effective. Connect allows the professor to assign homework, quizzes, and tests easily and automatically grades and records the scores of the student's work. Problems are randomized to prevent sharing of answers an may also have a "multi-step solution" which helps move the students' learning along if they experience difficulty.

### 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

Appendix C: Introduction To Simulink

## Book Details

- Title: Applied Numerical Methods with MATLAB for Engineers and Scientists, 4th Edition
- Author: Steven Chapra
- Length: 720 pages
- Edition: 4
- Language: English
- Publisher: McGraw-Hill Education
- Publication Date: 2017-02-06
- ISBN-10: 0073397962
- ISBN-13: 9780073397962

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