Mathematical proof

Related lectures (30)

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Covers examples of direct and indirect proofs in mathematics.

Covers proof techniques including direct proof, contraposition, contradiction, cases, and counterexample.

Covers the basics of formal logic, focusing on logical expressions and mathematical proofs.

Explores the proof of the Central Limit Theorem through Lindeberg's principle and the convergence of random variables.

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Covers the concept of outer measure and properties of measurable sets.

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Covers the approximation of functions in Sobolev spaces using smooth functions.

Explores convergence in law for random variables, including Kolmogorov's theorem and proofs based on probability lemmas.