Algebra
- as a field, it is the study of mathematical symbols that represent numbers and the rules for manipulating these symbols
- as a mathematical object, it is an Algebraic Structure
Algebra - Subfields
- Abstract Algebra - Modern Algebra - Structural Algebra
- Conformal Geometric Algebra (CGA)
- Exterior Algebra - Grassmann Algebra
- Geometric Algebra (GA) - Clifford Algebra
- Linear Algebra
- Matrix Theory - Matrix Algebra
- Multilinear Algebra
- Projective Geometric Algebra (PGA)
- Quaternion Algebra
- Rigid Geometric Algebra (RGA)
- Scalar Algebra - Elementary／College Algebra
- Spacetime Algebra
- Tensor Algebra
- Vector Algebra