Lectures related to Intersection: Sets and Properties

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

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

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

Covers the properties of real numbers, including bounds, density, and absolute value.

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

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

Explores the conditions for continuity of a function on real numbers.

Covers the structure and properties of real numbers, including the introduction to the axiomatic system and the implications of Archimedean property.

Covers the basics of sets, including types of numbers and set operations.

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

Introduces real numbers, their properties, and their significance in analysis.

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

Covers the fundamentals of algebraic geometry, including algebraic numbers and irreducible polynomials.

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

Explores intervals in real numbers, including open and closed intervals, periodic decimals, and irrational numbers.

Explores transcendence degree in algebraic fields and classical analytic functions.

Covers the fundamental concepts of sets and subsets in linear algebra, including operations and properties.

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

Explores Dedekind cuts in rational numbers, essential for constructing real numbers.

Introduces fundamental concepts of linear algebra, focusing on sets and operations.