Mathematics for Physicists
This lecture gives differential equations, linear algebra, complex variables, vector calculus, geometry,
topology, group theories, and function theories.
Lecture Contents
- Linear Algebra
- Vector and its calculus
- Matrices, determinants, and eigen-value problems
- Linear transformations, projection, affine transformation
- Tensor analysis
- Group theories
- Lie algebra
- Differential Equations
- Ordinary differential equations
- Nonlinear ordinary differential equations
- Partial differential equations
- Nonlinear partial differential equations
- Function Theories
- Infinite series
- Polynomials
- Transformations
- Special functions
- Approximations
- Complex Variables
- Cauchy-Riemann conditions
- Contour integral
- Mapping and branch points
- Residue theorem
- Definite integrals
- Integral Equations
- Integral transform
- Calculus of variations
- Geometry, topology, and Other Mathematical Tools
- Euclidean and non-Euclidean geometry
- Differential forms
- Lie derivative
- Topology
- Graph theory
- Knot theory
- Braid group
- Renormalization theory
Topics and Resources
Example Problems
Links
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