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Lecture
Intervals: Real Numbers
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Related lectures (31)
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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: Absolute Value and Density
Covers absolute value, density of rationals, and real line topology.
Introduction to Analysis
Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.
Inequalities on Real Numbers
Explores inequalities on real numbers, including real intervals and comparison properties.
Properties of Real Numbers: Bounds, Density, Absolute Value
Covers the properties of real numbers, including bounds, density, and absolute value.
Continuity of a Function
Explores the conditions for continuity of a function on real numbers.
Introduction to Real Numbers and Their Properties
Introduces real numbers, their properties, and their significance in analysis.
Real Numbers: Structure and Properties
Covers the structure and properties of real numbers, including the introduction to the axiomatic system and the implications of Archimedean property.
Open and Closed Sets
Explains the concepts of open and closed sets in real numbers.
Properties of Real Numbers
Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.
