Organization, Numbers: Real Numbers and Equations

Related lectures (31)

Page 1 of 4

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

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

Covers countability and bijections between sets, demonstrating the uncountability of real numbers.

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

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

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

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

Explains Cantor's theorem comparing cardinalities of different number sets.