Introduction to Mathematical Proof
Before this course
Logic, sets, functions and elementary algebra.
Review a prerequisite lesson →- 01Direct, Contrapositive & Contradiction Proofs
Choose a valid proof structure and expose the algebra or counterexample that justifies a claim.
- 02Induction, Bijections & Countability
Supply a base case and inductive step, and use explicit maps to compare sets.
After these topics
Full written-proof workshops, strong induction, cardinality and detailed feedback from an instructor.
The topics above describe this library’s current scope, not a complete university course. Use the reference readings and written exercises to continue.