Preface
Ordinary Differential Equations (ODEs)
CHAPTER 1. First-Order ODEs
CHAPTER 2. Second-Order Linear ODEs
CHAPTER 3. Higher Order Linear ODEs
CHAPTER 4. Systems of ODEs. Phase Plane. Qualitative Methods
CHAPTER 5. Series Solutions of ODEs. 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 (PDEs)
CHAPTER 11. Fourier Analysis
CHAPTER 12. Partial Differential Equations (PDEs)
PART D Complex Analysis
CHAPTER 13. Complex Numbers and Functions. Complex Differentiation
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 Numeric Analysis Software
CHAPTER 19. Numerics in General
CHAPTER 20. Numeric Linear Algebra
CHAPTER 21. Numerics for ODEs and PDEs
PART F Optimization, Graphs
CHAPTER 22 Unconstrained Optimization. Linear Programming
CHAPTER 23. Graphs. Combinatorial Optimization
PART G. Probability, Statistics 1009
Software 1009
CHAPTER 24. Data Analysis. Probability Theory
CHAPTER 25. Mathematical Statistics
