Matemáticas Avanzadas para Ingeniería – Dennis G. Zill – 2da Edición

Part I: Ordinary Differential Equations

1. Introduction to Differential Equations

2. First-Order Differential Equations

3. Higher-Order Differential Equations

4. The Laplace Transform

5. Series Solutions of Linear Equations

6. Numerical Solutions of Ordinary Differential Equations

Part II: Vectors, Matrices, and Vector Calculus

7. Vectors

8. Matrices

9. Vector Calculus

Part III: Systems of Differential Equations

10. Systems of Linear Differential Equations

11. Systems of Nonlinear Differential Equations

Part IV: Fourier Series and Partial Differential Equations

12. Orthogonal Functions and Fourier Series

13. Boundary-Value Problems in Rectangular Coordinates

14. Boundary-Value Problems in Other Coordinate Systems

15. Integral Transform Model

16. Numerical Solutions to Partial Differential Equations

Part V: Complex Analysis

17. Functions of a Complex Variable

18. Integration in the Complex Plane

19. Series and Residues

20. Conformal Mappings and Applications

Appendix I Some Derivative and Integral Formulas

Appendix II Gamma Function; Exercises

Appendix III Table of Laplace Transforms

Appendix IV Conformal Mappings

Appendix V Some BASIC Programs for Numerical Methods

Appendix VI Selected Answers for Odd-Numbered Problems