Mathematical analysis for engineers
This book follows an advanced course in analysis (vector analysis, complex analysis and Fourier analysis) for engineering students, but can also be useful, as a complement to a more theoretical course, to mathematics and physics students. The first three parts of the book represent the theoretical a...
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| Language: | English |
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London, UK
Imperial College Press
2012
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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