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1 Mathematical Modeling, Numerical Methods, and Problem Solving
2 MATLAB Fundamentals
3 Programming with MATLAB
4 Roundoff and Truncation Errors
5 Roots: Bracketing Methods
6 Roots: Open Methods
7 Optimization
8 Linear Algebraic Equations and Matrices
9 Gauss Elimination
10 LU Factorization
11 Matrix Inverse and Condition
12 Iterative Methods
13 Eigenvalues
14 Linear Regression
15 General Linear Least-Squares and Nonlinear Regression
16 Fourier Analysis
17 Polynomial Interpolation
18 Splines and Piecewise Interpolation
19 Numerical Integration Formulas
20 Numerical Integration of Functions
21 Numerical Differentiation
22 Initial-Value Problems
23 Adaptive Methods and Stiff Systems
24 Boundary-Value Problems
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Applied Numerical Methods with MATLAB is designed to support a one-semester course in numerical methods. It has been 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 students come away with insight into the techniques and their shortcomings.
This title will be available in Connect, featuring SmartBook, the MHeBook, and homework problems. Instructor Resources available for this title include: Image Library, Instructor Solutions Manual, Lecture PowerPoints, and MatLab Files.
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Steven C. Chapra (Medford, MA) is Professor of Civil and Environmental Engineering, Tufts University.
Steven Chapra was an environmental engineer in the Department of Civil and Environmental Engineering at Tufts School of Engineering. He received his Ph.D. from the University of Michigan and his B.S. and M.E. from Manhattan College. He has worked for the U.S. EPA, NOAA, Texas A&M University, and the University of Colorado. His teaching philosophy is based on respect for students, organization and professionalism, knowledge an
d enthusiasm for the subject, fairness in evaluation, and rapport and listening. He is a Fellow of the American Society of Civil Engineers and was a member of the inaugural group of Fellows for the Association of Environmental Engineering and Science Professors (AEESP).
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