Topics in analysis

Related lectures (31)

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Explores real numbers' properties, bounds, limits, and density in the number line.

Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.

Covers the concept of total order relation and properties of real numbers.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores countable and uncountable sets, demonstrating how to determine the cardinality of different sets through listing elements in a sequence.

Introduces real number sequences, limits, and their properties.

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

Covers inf/sup, integral part of real numbers, and density of rational numbers.

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

Covers strings, countable sets, cardinality, and the concept of countability, exploring the countability of various sets and Cantor diagonalization.