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Concept

Proof that π is irrational

Related lectures (32)

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Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Explores the properties and applications of roots of real numbers through practical examples.

Explores even squares, irrationality of √2, gaps in rational numbers, and minorants in Q.

Delves into mixing time changes in nilflows, emphasizing the delicate nature of mixing and its dependence on singularities.

Delves into human decision-making beyond rationality, exploring concepts like the decoy effect.

Covers the properties and operations of real numbers, including divisibility rules and the concept of irreducible fractions.

Explores the intersection of sets, defining it and discussing its properties.

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

Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.

Explains infimum, supremum, Archimedes' properties, rational numbers density, and exercises on irrational numbers and minimum values.

Covers absolute value, density of rationals, and real line topology.

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Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.

Delves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.

Explores the historical and mathematical significance of Euclidean Division and the Divine Proportion in geometry and art.

Explores stable laws, limit theorems, and random variable properties.