PART ONE MODELING, AND ERROR ANALYSIS CHAPTER 1 Mathematical Modeling and Engineering Problem-Solving CHAPTER 2 Computers and Software CHAPTER 3 Approximations and Round-Off Errors CHAPTER 4 Truncation Errors and the Taylor Series EPILOGUE:PART ONE pART TWO ROOTS OF EQUATIONS CHAPTER 5 Bracketing Methods CHAPTER 6 Open Methods CHAPTER 7 Roots of Polynomials CHAPTER 8 Engineering Applications: Roots of Equations EPILOGUE:PART TWO PART THREE LINEAR ALGEBRAIC EQUATIONS CHAPTER 9 Gauss Elimination CHAPTER 10 LU Decomposition and Matrix Inversion CHAPTER 11 Special Matrices Gauss-Seidel CHAPTER 12 Engineering Applications: Linear Algebraic Equations EPILOGUE:PART THREE PART FOUR OPTIMIZATION CHAPTER 13 One-dimensional Unconstrained Optimization CHAPTER 14 Multidimensional Unconstrained Optimization CHAPTER 15 Constrained Optimization CHAPTER 16 Engineering Applications: Optimization EPILOGUE:PART FOUR PART FIVE CURVE FITTING CHAPTER 17 Least-Squares Regression CHAPTER 18 Interpolation CHAPTER 19 Fourier Approximation CHAPTER 20 Engineering Applications: Curve Fitting EPILOGUE:PART FIVE PART SIX NUMERICAL DIFFERENTIATION AND INTEGRATION CHAPTER 21 Newton-Cotes Integration of Equations CHAPTER 22 Integration of Equations CHAPTER 23 Numerical Differentiation CHAPTER 24 Engineering Applications: Numerical Integration and Differentiation EPILOGUE:PART SIX PART SEVEN ORDINARY DIFFERENTIAL EQUATIONS CHAPTER 25 Runge-Kutta Methods CHAPTER 26 Stiffness and Multistep Methods CHAPTER 27 Boundary-Value and Eigenvalue Problems CHAPTER 28 Engineering Applications: Ordinary Differential Equations EPILOGUE: PART SEVEN PART EIGHT PARTIAL DIFFERENTIAL EQUATIONS CHAPTER 29 Finite Difference: Elliptic Equations CHAPTER 30 Finite Difference:Parabolic Equations CHAPTER 31 Finite Element Method CHAPTER 32 Engineering Applications: Partial Differential Equations EPILOGUE:PART EIGHT APPENDIX A: THE FOURIER SERIES APPENDIX B: GETTING STARTED WITH MATHCAD APPENDIX C: GETTING STARTED WITH MATLAB BIBLIOGRAPHY INDEX
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