Table of Contents
PART A: ORDINARY DIFFERENTIAL EQUATIONS
(ODE'S).
- Chapter 1. First-Order ODE's.
- Chapter 2. Second Order Linear ODE's.
- Chapter 3. Higher Order Linear ODE's.
- Chapter 4. Systems of ODE's Phase Plane, Qualitative Methods.
- Chapter 5. Series Solutions of ODE's Special Functions.
- Chapter 6. Laplace Transforms.
PART B: LINEAR ALGEBRA, VECTOR CALCULUS.
- Chapter 7. Linear Algebra: Matrices, Vectors, Determinants: Linear Systems.
- Chapter 8. Linear Algebra: Matrix Eigenvalue Problems.
- Chapter 9. Vector Differential Calculus: Grad, Div, Curl.
- Chapter 10. Vector Integral Calculus: Integral Theorems.
PART C: FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS.
- Chapter 11. Fourier Series, Integrals, and Transforms.
- Chapter 12. Partial Differential Equations (PDE's).
- Chapter 13. Complex Numbers and Functions.
- Chapter 14. Complex Integration.
- Chapter 15. Power Series, Taylor Series.
- Chapter 16. Laurent Series: Residue Integration.
- Chapter 17. Conformal Mapping.
- Chapter 18. Complex Analysis and Potential Theory.
PART E: NUMERICAL ANALYSIS SOFTWARE.
- Chapter 19. Numerics in General.
- Chapter 20. Numerical Linear Algebra.
- Chapter 21. Numerics for ODE's and PDE's.
- PART F: OPTIMIZATION, GRAPHS.
- Chapter 22. Unconstrained Optimization: Linear Programming.
- Chapter 23. Graphs, Combinatorial Optimization.
PART G: PROBABILITY; STATISTICS.
- Chapter 24. Data Analysis: Probability Theory.
- Chapter 25. Mathematical Statistics.
- Appendix 1: References.
- Appendix 2: Answers to Odd-Numbered Problems.
- Appendix 3: Auxiliary Material.
- Appendix 4: Additional Proofs.
- Appendix 5: Tables.
- Index.



