Applied Numerical Methods with MATLAB for Engineers and Scientists 2nd Edition

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Category : Engineering

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Product Description:

Still brief – but with the chapters that you wanted – Steven Chapra’s new second edition is written for engineering and science students who need to learn numerical problem solving. This text focuses on problem-solving applications rather than theory, using MATLAB throughout. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The new second edition feature new chapters on Numerical Differentiation, Optimization, and Boundary-Value Problems (ODEs).

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 Trunication 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

Part Four: Curve Fitting
13. Linear Regression
14. General Linear Least-Squares and Nonlinear Regression
15. Polynomial Interpolation
16. Splines and Piecewise Interpolation

Part Five: Integration and Differentiation
17. Numerical Integration Formulas
18. Numerical Integration of Functions
19. Numerical Differentiation

Part Six: Ordinary Differential Equations
20. Initial-Value Problems
21. Adaptive Methods and Stiff Systems
22. Boundary-Value Problems

Product Details:

Language: English ISBN-10: 007313290X ISBN-13: 978-0073132907 ISBN-13: 9780073132907

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