Real Numbers: Sets and Operations

Related lectures (27)

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Explores real numbers, including supremum, infimum, maximum, and minimum properties.

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.

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

Covers the basics of real analysis, including functions, limits, and max/min functions.

Covers the basics of real numbers and set theory, including subsets, intersections, unions, and set operations.

Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.

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

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

Explains the definitions and properties of maximum, minimum, supremum, and infimum in real numbers.