MATH0005 Algebra 1
About these notes
1
Logic
2
Sets and functions
2.1
Introduction to set theory
2.2
Set operators
2.3
Set algebra
2.4
De Morgan’s laws
2.5
Cartesian products
2.6
Functions
2.7
Function composition
2.8
Function properties
2.9
Invertibility
2.10
Conditions for invertibility
2.11
Permutations
2.12
Inverses and composition
2.13
Cycles
2.14
Products of disjoint cycles
2.15
Powers and orders
2.16
Transpositions
2.17
Sign
Further reading
3
Matrices
4
Linear algebra
MATH0005 Algebra 1
Further reading
2.1
Introduction to set theory
Chapter 2
Sets and functions
2.1
Introduction to set theory
2.2
Set operators
2.3
Set algebra
2.4
De Morgan’s laws
2.5
Cartesian products
2.6
Functions
2.7
Function composition
2.8
Function properties
2.9
Invertibility
2.10
Conditions for invertibility
2.11
Permutations
2.12
Inverses and composition
2.13
Cycles
2.14
Products of disjoint cycles
2.15
Powers and orders
2.16
Transpositions
2.17
Sign
Further reading