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## Main Question or Discussion Point

I'm a fresher at college, pursuing an honors degree in Physics. I've got Mathematical Methods for my first semester. I've collected a couple of books like Arfken and Weber and M. L. Boas. But none of them quite entirely cover the course material.

Listed below are the topics included in our syllabus which I could not find in any book I've looked up so far:

Listed below are the topics included in our syllabus which I could not find in any book I've looked up so far:

- Index notation: dummy indices, free and sum indices, symmetric and skew symmetric expressions, summation convention, addition and multiplication of symbols, contraction, special symbols.
- Transformations: Inversion, mirror reflection, True and pseudo vectors and scalars, orthogonal transformations, general spatial notations(passive).
- Surfaces in 3D: Surfaces of revolution, cylindrical surfaces, conical surfaces, standard surfaces of second order(ellipsoids, hyperboloids, paraboloids), the Z-Slice method.

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