A calculus of the absurd
1
Introduction
I
A Level mathematics (and further mathematics)
2
Solving problems
3
Sequences and series
4
Concrete algebra
5
A brief digression on numbers
6
Proof
6.1
Direct proof
6.2
Proving identities
6.3
Proof by induction
6.4
Proof by contradiction
6.5
The pigeonhole principle
6.6
Existence proofs
6.7
Uniqueness proofs
7
Trigonometry
8
Exponentials and logarithms
9
Coordinate geometry
10
Differential calculus
11
Integral calculus
12
Polar coordinates
13
Differential equations
14
Complex numbers
15
Hyperbolic functions
II
A Level Further Mathematics
III
General mathematics
IV
Algorithms
V
Computer science science stuff
VI
Miscellaneous
Existence proofs
6.6
Existence proofs