Includes bibliographical references and index.

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.