Advanced engineering mathematics / Alan Jeffrey.
Advanced engineering mathematics provides students with plentiful practice problems to work with. It builds the skills, concepts and experience in mathematical reasoning needed for engineering problem solving.
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| Format: | Book |
| Language: | English |
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San Diego :
Harcourt Academic Press,
[2002]
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Table of Contents:
- pt. 1. Review Material. Ch. 1. Review of Prerequisites
- pt. 2. Vectors and Matrices. Ch. 2. Vectors and Vector Spaces. Ch. 3. Matrices and Systems of Linear Equations. Ch. 4. Eigenvalues, Eigenvectors, and Diagonalization
- pt. 3. Ordinary Differential Equations. Ch. 5. First Order Differential Equations. Ch. 6. Second and Higher Order Linear Differential Equations and Systems. Ch. 7. The Laplace Transform. Ch. 8. Series Solutions of Differential Equations, Special Functions, and Sturm
- Liouville Equations
- pt. 4. Fourier Series, Integrals, and The Fourier Transform. Ch. 9. Fourier Series. Ch. 10. Fourier Integrals and the Fourier Transform
- pt. 5. Vector Calculus. Ch. 11. Vector Differential Calculus. Ch. 12. Vector Integral Calculus
- pt. 6. Complex Analysis. Ch. 13. Analytic Functions. Ch. 14. Complex Integration. Ch. 15. Laurent Series, Residues, and Contour Integration. Ch. 16. The Laplace Inversion Integral
- pt. 7. Partial differential equations. Ch. 18. Partial differential equations
- pt. 8. Numerical mathematics. Ch. 19. Numerical mathematics.