What’s included
Part 1: Mathematical Statements, Conjectures and the Need for Proof
Part 2: Implications, Converses, Contrapositives and Equivalence
Part 3: Algebraic Techniques for Direct Proof
Part 4: Proving Algebraic Identities and Inequalities
Part 5: Constructing Proofs by Contraposition
Part 6: Constructing Proofs by Contradiction
Part 7: Disproving Statements Using Counterexamples
Part 8: Mathematical Induction: Base Case and Inductive Step
Part 9: Induction for Divisibility and Series
Part 10: Induction for Inequalities and Recursive Sequences
Part 11: Common Induction Errors and Strong Induction
Part 12: Choosing a Proof Method and Writing Rigorous Proofs