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Notes on Proof, Pure Mathematics
Notes on the five types of proof with an example for each: 
1. Direct proof 
2. Disproof by counterexample 
3. Proof by contradiction 
4. Proof by contrapositive 
5. Proof by induction
- Lecture notes
- • 2 pages •
Notes on the five types of proof with an example for each: 
1. Direct proof 
2. Disproof by counterexample 
3. Proof by contradiction 
4. Proof by contrapositive 
5. Proof by induction
![](/docpics/5fca4fa7b6472_903573.jpg)
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Group Theory, Pure Mathematics
Notes on Group Theory that i took on my iPad, they are concise and easy to understand. It gives definitions and examples on: sets, subsets, unions, intersections, binary operations, groups, semigroups, monoids, cayley tables, cyclic groups and permutations. 
Notes start with simple concepts and then build up to more complex ideas.
- Book
- Summary
- • 7 pages •
Notes on Group Theory that i took on my iPad, they are concise and easy to understand. It gives definitions and examples on: sets, subsets, unions, intersections, binary operations, groups, semigroups, monoids, cayley tables, cyclic groups and permutations. 
Notes start with simple concepts and then build up to more complex ideas.