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Lecture
Real Numbers: Sets and Operations
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Related lectures (32)
Real Numbers: Sets and Operations
Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Infimum and Supremum of Subsets
Covers the concepts of infimum and supremum of subsets in real numbers.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
Real Analysis: Functions and Limits
Covers the basics of real analysis, including functions, limits, and max/min functions.
Real Numbers: Sets and Operations
Covers the basics of real numbers and set theory, including subsets, intersections, unions, and set operations.
Supremum
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
MOOC: Analysis I
Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.
Introduction to Real Numbers and Their Properties
Introduces real numbers, their properties, and their significance in analysis.
Total Order Relation: Properties of Real Numbers
Covers the concept of total order relation and properties of real numbers.
Exemple: Infimum and Supremum
MOOC: Analysis I
MOOC: Analysis I (part 3) : Real number sequences I and II
Illustrates the calculation of infimum and supremum for a set of elements.
Real Numbers: sqrt(2)
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
MOOC: Analysis I
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
MOOC: Analysis I
MOOC: Analysis I (part 3) : Real number sequences I and II
Introduces real number sequences, limits, and their properties.
Quiz on Chapters 1-3: Solutions to TF questions
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Covers solutions to true/false questions on subsets, upper bounds, real numbers, and set properties.
Introduction to Analysis
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Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.
Introduction to Analysis: Understanding Real Numbers and Proofs
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Covers the basics of analysis, including real numbers, proofs, sets, and operations.
Properties of Real Numbers
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Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.
Math-101(en) / Min/Max, Inf/Sup
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Covers minimum, maximum, infimum, and supremum concepts in real numbers with examples and proofs.
Real Numbers: Order and Completeness
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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: Properties and Formulas
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Explores real numbers, including supremum, infimum, maximum, and minimum properties.
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