Mathematical analysis for engineers /
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Format: | Book |
Language: | English |
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London Hackensack, NJ
Imperial College Press Distributed by World Scientific Publishing Co. Pte. Ltd.
c2012.
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Table of Contents:
- 1. Differential operators of mathematical physics
- 2. Line integrals
- 3. Gradient vector fields
- 4. Green theorem
- 5. Surface integrals
- 6. Divergence theorem
- 7. Stokes theorem
- 8. Appendix
- 9. Holomorphic functions and Cauchy-Riemann equations
- 10. Complex integration
- 11. Laurent series
- 12. Residue theorem and applications
- 13. Conformal mapping
- 14. Fourier series
- 15. Fourier transform
- 16. Laplace transform
- 17. Applications to ordinary differential equations
- 18. Applications to partial differential equations
- Exercises: Differential operators of mathematical physics
- Line integrals
- Gradient vector fields
- Green theorem
- Surface integrals
- Divergence theorem
- Stokes theorem
- Holomorphic functions and Cauchy-Riemann equations
- Complex integration
- Laurent series
- Residue theorem and applications
- Conformal mapping
- Fourier series
- Fourier transform
- Laplace transform
- Applications to ordinary differential equations
- Applications to partial differential equations
- Bibliography
- Table of Fourier transform
- Table of Laplace transform.