Q as Subset of R

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Related lectures (31)

Page 3 of 4

Properties of Real Numbers

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

Real Numbers: Sets and Operations

Covers the fundamental concepts related to real numbers, including sets, notations, and operations.

Relations, Sequences, Summation: Cantor Diagonalization

Covers countable and uncountable sets, sequences, summation, and Cantor's Diagonalization proof.

Analysis Reminder: Open Sets and Denseness

Reviews open sets, denseness, real numbers, convergence, curves, continuity, and derivatives in analysis.

Real Numbers: Order and Completeness

Covers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.

Properties of Real Numbers

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

Interval Analysis: Properties and Examples

Explores infimum, supremum, and absolute value concepts with examples and proofs.

Real Numbers: sqrt(2)

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

Convex Functions: Theorems and Examples

Discusses the theorems on convex functions and provides examples for better understanding.

Important Examples in Real Sequences

Covers important examples in real sequences, showcasing mathematical calculations and limits.