1. Introduction
  2. Naive Concepts
  3. Topics
  4. 1. Fundamental Concepts
    1. 1.1. Sets
    2. 1.2. Relations
    3. 1.3. Functions
  5. 2. First Order Logic
    1. 2.1. Propositional Logic
    2. 2.2. Predicate Logic
  6. 3. Algebra
    1. 3.1. Groups
    2. 3.2. Rings
    3. 3.3. Fields
    4. 3.4. Vector Spaces
    5. 3.5. Modules
    6. 3.6. Algebras
    7. 3.7. Lattices
  7. 4. Topology
  8. 5. Analysis
  9. 6. Discrete Mathematics
  10. 7. Foundations of Mathematics
    1. 7.1. Set Theory
    2. 7.2. Category Theory
    3. 7.3. Type Theory

Math Notes

Relations

Definition

Symmetry

Reflexivity

Transitivity

Equivalence Relations

Partial Orders

Hasse Diagrams

Lattices