Kreyszig 공업수학 문제풀이 해설

Part A. Ordinary Diffrential Equations
Chapter 1. First-Order Differential Equations
Chapter 2. Linear Differential Equations of Second and Higher Order
Chapter 3. Systems of Differential Equations, Phase Plane, Qualitative Methods
Chapter 4. Series Solutions of Differential Equations. Special Functions
Chapter 5. Laplace Transforms

Part B. Linera Algebra, Vector Calculus
Chapter 6. Linear Algebra : Matrices, Vectors, Determinants. Linear Systems of Equations
Chapter 7. Linear Algebra : Matrix Eigenvalue Problems
Chapter 8. Vector Differential Calculus, Grad, Div, Curl
Chapter 9. Vector Integral Calculus, Integral Theorems

Part C. Fourier Anaylysis and Partial Differential Equations
Chapter 10. Fourier Series, Integrals, and Transforms
Chapter 11. Partial Differential Equations

Part D. Complex Analysis
Chapter 12. Complex Number and Functions. Conformal Mapping
Chapter 13. Complex Integration
Chapter 14. Power Series, Taylor Series
Chapter 15. Laurent Series, Residue Integration
Chapter 16. Complex Analysis Applied to Potential Theory

Part E. Numerical Methods
Chapter 17. Numerical Methods in General
Chapter 18. Numerical Methods in Linear Algebra
Chapter 19. Numerical Methods for Differential Equations

Part F. Optimization, Graphs
Chapter 20. Unconstrained Optimization, Linear Programming
Chapter 21. Graphs and Combinatorial Optimization

Part G. Probability and Statistics
Chapter 22. Data Analysis. Probability Theory
Chapter 23. Mathematical Statistics