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Applied Numerical Methods with MATLAB for Engineers and Scientists 4th Edition by Steven Chapra ISBN 0073397962 9780073397962

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ISBN 10:   0073397962
ISBN 13: 978-0073397962
Author:   Steven C. Chapra

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’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.

Applied Numerical Methods with MATLAB for Engineers and Scientists 4th Table of contents:

Part One – Modeling, Computers, and Error Analysis

1) Mathematical Modeling, Numerical Methods, and Problem Solving

2) MATLAB Fundamentals

3) Programming with MATLAB

4) Roundoff and Truncation Errors

Part Two – Roots and Optimization

5) Roots: Bracketing Methods

6) Roots: Open Methods

7) Optimization

Part Three – Linear Systems

8) Linear Algebraic Equations and Matrices

9) Gauss Elimination

10) LU Factorization

11) Matrix Inverse and Condition

12) Iterative Methods

13) Eigenvalues

Part Four – Curve Fitting

14) Linear Regression

15) General Linear Least-Squares and Nonlinear Regression

16) Fourier Analysis

17) Polynomial Interpolation

18) Splines and Piecewise Interpolation

Part Five – Integration and Differentiation

19) Numerical Integration Formulas

20) Numerical Integration of Functions

21) Numerical Differentiation

Part Six – Ordinary Differential Equations

22) Initial-Value Problems

23) Adaptive Methods and Stiff Systems

24) Boundary-Value Problems

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