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Lecture
Introduction to Real Numbers
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Related lectures (30)
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Introduction to Real Numbers
Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.
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
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.
Real Numbers: Sets and Operations
Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.
Total Order Relation: Properties of Real Numbers
Covers the concept of total order relation and properties of real numbers.
Real Numbers: Definitions and Equivalence Classes
Covers the existence of real numbers and equivalence classes of Cauchy sequences.
Real Number Sequences: Cauchy Sequences
Discusses Cauchy sequences, sub-sequences, and numerical series with parameters.
More Results on Inf/Sup, Density of Q in R
Covers inf/sup, integral part of real numbers, and density of rational numbers.
Important Property of Archimedean Bodies
Covers the Archimedean property and the proposition for all x in a set, there exists a positive real number n such that n*x is greater than y.
