This section contains foundational definitions, axioms, and theorems from set theory and basic mathematical logic that are used throughout analysis and algebra.
Contents
Sets and Set Operations
- Set
- Subset
- Proper subset
- Empty set
- Union
- Intersection
- Set difference
- Complement
- Cartesian product
- Ordered pair
- Partition
Functions
- Function (map)
- Composition
- Identity function
- Domain
- Codomain
- Image
- Preimage
- Injective function
- Surjective function
- Bijective function
- Inverse function