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Lecture
Real Numbers: Sets and Operations
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Related lectures (27)
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Convergence and Limits in Real Numbers
Explains convergence, limits, bounded sequences, and the Bolzano-Weierstrass theorem in real numbers.
Exemple: Infimum and Supremum
Illustrates the calculation of infimum and supremum for a set of elements.
Real Numbers: Definitions and Equivalence Classes
Covers the existence of real numbers and equivalence classes of Cauchy sequences.
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.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Real Number Sequences: Introduction
Introduces real number sequences, limits, and their properties.