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Lecture
Real Numbers: Sets and Operations
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Related lectures (26)
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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.
Real Numbers: Sets and Operations
Covers the basics of real numbers and set theory, including subsets, intersections, unions, and set operations.
Real Numbers: Properties and Formulas
Explores real numbers, including supremum, infimum, maximum, and minimum properties.
Exemple: Infimum and Supremum
Illustrates the calculation of infimum and supremum for a set of elements.
Properties of Real Numbers
Covers countability and bijections between sets, demonstrating the uncountability of real numbers.
Real Analysis: Functions and Limits
Covers the basics of real analysis, including functions, limits, and max/min functions.
Real Numbers: Definitions and Properties
Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.
Real Numbers: sqrt(2)
Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
Introduction to Real Numbers and Their Properties
Introduces real numbers, their properties, and their significance in analysis.
