Numerical Methods for Engineers,5E, Special Indian Edition Information Center: Table of Contents


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Numerical Methods for Engineers,5E, Special Indian Edition

Steven C Chapra, Tufts University

Part One: Modeling Computers and Error Analysis

1. Mathematical Modeling and Engineering Problem Solving
2. Approximations and Round Off Errors
3. Truncation Errors and the Taylor Series

Epilogue Part 1

Part Two: Roots of Equations

4. Bracketing Methods
5. Open Methods
6. Roots of Polynomials
7. Case Studies: Roots of Equations

Epilogue: Part Two

Part Three: Linear Algebraic Equations

8. Guass Elimination
9. LU Decomposition and Matrix Inversion
10. Special Matrices and Guass-Seidel
11. Case Studies: Linear Algebraic Equations

Epilogue: Part Three

Part Four: Curve Fitting

12. Least Square Regression
13. Interpolation
14. Fourier Approximation
15. Case Studies: Curve Fitting

Epilogue: Part Four

Part Five: Numerical Differentiation and Integration

16. Newton Cotes Integration Formulas
17. Integration of Equations
18. Numerical Differentiation
19. Case Studies: Numerical Differentiation and Integration

Epilogue: Part Five

Part Six: Ordinary Differential Equations

20. Runge Kutta Methods
21. Stiffness and Multi-step methods
22. Boundary Value and Eigenvalue Problems
Case Studies: Ordinary Differential Equations

Epilogue: Part Six

Part Seven: Partial Differential Equations

23. Finite Differences: Elliptic Equations
24. Finite Differences: Parabolic Equations
Case Studies: Partial Differential Equations

Epilogue: Part Seven

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