Table o f content s
Opening thoughts: Welcom e t o th e jungle 1
Modules
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
A bi t o f foreshadowin g an d som e rationa l rational e
Building th e rational s vi a Fare y Sequence s
Discoveries o f Dirichle t an d Hurwit z
The theor y o f continue d fraction s
Enforcing th e la w o f bes t approximate s
Markoff's spectru m an d number s
Badly approximabi e number s an d quadratic s
Solving th e allege d "Pell " equatio n
Liouville's wor k o n number s algebrai c an d no t
Roth's stunnin g resul t an d it s consequence s
Pythagorean triple s throug h diophantin e geometr y
A quic k tou r throug h ellipti c curve s
The geometr y o f number s
Simultaneous diophantin e approximatio n
Using geometr y t o su m som e square s
Spinning aroun d irrationall y an d uniforml y
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