Mathematical Induction: Basics and Applications

Related lectures (20)

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Introduces Cartesian product and induction for proofs using integers and sets.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

Explores reciprocity, equivalence, and proof techniques in linear algebra, emphasizing logical reasoning and mathematical rigor.

Covers function composition and integers, including properties and examples.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.