Intdn Physical Maths - Harper, P. G.

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Sommaire:
1. Introduction; 2. Errors; 3. Cartesian coordinates; 4. Vectors; 5. The scalar product; 6. The vector product and rotation; 7. Matrices in physics; 8. The transformation of matrices; 9. The matrix eigenvalue equation; 10. Exponential and logarithm functions; 11. Sine and cosine functions; 12. Graph plotting and curve sketching; 13. Differentiation; 14. Approximations; 15. Power series and Taylor's expansion; 16. Partial differentiation; 17. Integration; 18. The differential equation; 19. Solving first-order differential equations; 20. Second-order differential equations; 21. Solving second-order differential equations; 22. The complex exponential; 23. The circuit equation; 24. Harmonics and Fourier series; 25. The diffusion equation; 26. Waves; 27. The rate of change of a vector; 28. The scalar field and gradient operator; 29. The vector field; 30. Line integration; 31. The potential field; 32. Surface and volume integration; 33. Flux and divergence; 34. Circulation and the curl; 35. Conclusion; 36. Miscellaneous exercises.