Spring 2010

# home

## Hard Maths

• Stats;
• Analysis;
• Abstract groups;
• Combinatorics;
• Number Theory;
• Topology.

 [X] Chapter 1. Logic and Proof. [X] Section 1. Logical Connectives [X] Section 2. Quantifiers [X] Section 3. Techniques of Proof: I [X] Section 4. Techniques of Proof: II [X] 2. Sets and Functions. [X] Section 5. Basic Set Operations [X] Section 6. Relations [X] Section 7. Functions [X] Section 8. Cardinality [X] Section 9. Axioms for Set Theory(Optional) [_] 3. The Real Numbers. [X] Section 10. Natural Numbers and Induction [X] Section 11 Ordered Fields [X] Section 12 The Completeness Axiom [X] Section 13 Topology of the Reals [_] Section 14 Compact Sets [_] Section 15 Metric Spaces (Optional)