Advanced engineering mathematics /
Peter V. O'Neil.
- 5th ed.
- Pacific Grove, CA : Thomson Brooks/Cole, 2003
- xiii, 1236, 82, 9 p. ill. (some col.) ; 26 cm.
1. First-order differential equations ; 2. Second-order differential equations ; 3. The Laplace transform ; 4. Series solutions ; 5. Vectors and vector spaces ; 6. Matrices and systems of linear equations ; 7. Determinants ; 8. Eigenvalues, diagonalization, and special matrices ; 9. Systems of linear differential equations ; 10. Qualitative methods and systems of nonlinear differential equations ; 11. Vector differential calculus ; 12. Vector integral calculus ; 13. Fourier series ; 14. The Fourier integral and Fourier transforms ; 15. Special functions, orthogonal expansions, and wavelets ; 16. The wave equation ; 17. The heat equation ; 18. The potential equation ; 19. Canonical forms, existence and uniqueness of solutions, and well-posed problems ; 20. Geometry and arithmetic of complex numbers ; 21. Complex functions ; 22. Complex integration ; 23. Series representations of functions ; 24. Singularities and the residue theorem ; 25. Conformal mappings ; 26. Development of areas of mathematics ; 27. Biographical sketches.