7.5 Probabilistic and Combinatorial Proofs
Using counting, random choice, and finite structure to prove identities and existence statements.
Tag
Proof
6 notes
7.4 Constructive Proofs
Proving existence by giving explicit witnesses, algorithms, or methods of construction.
7.3 Induction and Recursion
Using base cases and step rules to prove statements about objects built recursively.
7.2 Proof by Contradiction
Proving a statement by assuming its negation and deriving an impossibility.
7.1 Direct Proof
Proving a statement by starting from its assumptions and deriving its conclusion step by step.
Chapter 7. Proof Techniques
Overview of the main methods used to prove mathematical statements.