TY - BOOK AU - Chapra, Steven C. TI - Applied numerical methods with MATLAB for engineers and scientists SN - 9781259027437 U1 - 518 C43, 3 PY - 2012/// CY - Chennai: PB - McGraw Hill Education (India) Pvt. Ltd. KW - Numerical analysis KW - Data processing KW - MATLAB KW - Engineering mathematics KW - Computer programs N1 - About the Book: Applied Numerical Methods with MATLAB: For Engineers and Scientists Steven Chapra's Applied Numerical Methods with MATLAB, third edition, is written for engineering and science students who need to learn numerical problem solving. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. 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 ER -