Matemáticas Avanzadas para Ingeniería – Erwin Kreyszig – 9na Edición

PART A Ordinary Differential Equations (ODEs)
1: First-Order ODEs
2: Second-Order Linear ODEs
3: Higher Order Linear ODEs
4: Systems of ODEs. Phase Plane. Qualitative Methods
5: Series Solutions of ODEs. Special Functions
6: Laplace Transforms

PART B Linear Algebra. Vector Calculus
7: Linear Algebra: Matrices, Vectors, Determinants. Linear Systems
8: Linear Algebra: Matrix Eigenvalue Problems
9: Vector Differential Calculus. Grad, Div, Curl
10: Vector Integral Calculus. Integral Theorems

PART C Fourier Analysis. Partial Differential Equations (PDEs)
11: Fourier Analysis
12: Partial Differential Equations (PDEs)

PART D Complex Analysis
13: Complex Numbers and Functions. Complex Differentiation
14: Complex Integration
15: Power Series, Taylor Series
16: Laurent Series. Residue Integration
17: Conformal Mapping
18: Complex Analysis and Potential Theory

PART E Numeric Analysis
19: Numerics in General
20: Numeric Linear Algebra
21: Numerics for ODEs and PDEs

PART F Optimization, Graphs
22: Unconstrained Optimization. Linear Programming
23: Graphs. Combinatorial Optimization

PART G Probability, Statistics
24: Data Analysis. Probability Theory
25: Mathematical Statistics

APPENDIX 1 References
APPENDIX 2 Answers to Odd-Numbered Problems
APPENDIX 3 Auxiliary Material
APPENDIX 4 Additional Proofs
APPENDIX 5 Tables