# Mathematical
Methods of Physics

- Set Theory - The basic definitions and notations used in set theory is given.
- Affine vs. Metric Geometry - Describes difference between affine and metric geometry.
- Orthogonal Transformations - Defines and elaborates of orthogonal transformation.
- Geodesic Deviation - The relationship for geodesic deviation is provided.
- Geodesics - Describes what a geodesics is (path of extremal length) and derives the equations which describe geodesics.
- Introduction to Manifolds - An introduction to manifolds is given along with the terminology which goes along with it.
- Tensors - The Analytic View - An introductions to tensors in which tensors are defined through their transformation properties
- Tensors - The Geometric View - An introductions to tensors in which tensors are defined through their geometric properties
- Parallel Transport - The expression for parallel transport is derived. The affine connection is introduced.
- Invariance - Defines and analyses the concept of invariance.
- Metric Tensor - Defines and describes the metric tensor.
- Absolute Derivative - The components of the total derivative are derived in terms of the Christoffel symbols.
- Pythagorean theorem - Derivation of the Pythagorean theorem.

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