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Mathematical physics: applied mathematics for scientists and engineers
1. A Review of Vector and Matrix Algebra Using Subscript/Summation Conventions. 2. Differential and Integral Operations on Vector and Scalar Fields. 3. Curvilinear Coordinate Systems. 4. Introduction to Tensors. 5. The Dirac Delta-Function. 6. Introduction to Complex Variables. 7. Fourier Series. 8. Fourier Transforms. 9. Laplace Transforms. 10. Differential Equations. …