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Advanced engineering mathematics / Peter V. O'Neil.

By: Material type: TextTextPublication details: Pacific Grove, CA : Thomson Brooks/Cole, 2003Edition: 5th edDescription: xiii, 1236, 82, 9 p. ill. (some col.) ; 26 cmISBN:
  • 0534400779 (case)
  • 9780534400774
Subject(s): DDC classification:
  • 515.1 21 N3171
Contents:
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.
List(s) this item appears in: Mathematics
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Books Books UE-Central Library 515.1 N3171 (Browse shelf(Opens below)) Available T1025

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.

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