Maths - Abstract Algebra and Discrete Mathematics

This section contains maths topics which involve abstract concepts and discrete (non continuous) mathematics.

• Sets
• Logic
• Boolean Algebra
• Graph Theory
• Category Theory
• Combinatorics

Terminology

• Field - Commutative division ring (different meaning of the word 'field' than fields on a manifold)
• Integral Domain - Commutative Ring with unity and no zero divisors
• Vector Space - Vectors over a field, Addition with scalar multiplication (vector & field (scalars))
  • a(v+u) = a v + a u
  • (a + b) v = a v + b v
  • a (b v) = (a b) v
  • 1 v = v
• Zero Divisor - A non-zero element 'a' of a commutative ring 'R' such that there is a non-zero element bR with ab=0

Data Types