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Exemple: Infimum and Supremum
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Related lectures (40)
Real Numbers: Sets and Operations
Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.
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.
Real Numbers: Sets and Operations
Covers the fundamental concepts related to real numbers, including sets, notations, and operations.
Infimum and Supremum of Subsets
Covers the concepts of infimum and supremum of subsets in real numbers.
Real Analysis: Functions and Limits
Covers the basics of real analysis, including functions, limits, and max/min functions.
Introduction to Real Numbers and Their Properties
Introduces real numbers, their properties, and their significance in analysis.
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.
Real Numbers: Definitions and Properties
Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.
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.
Boundary Analysis
Explores boundaries in sets, defining them as points not well separated from the set or its complement.
Infimum
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
MOOC: Analysis I
Explains the concept of infimum in real numbers and its properties.
Real Analysis Basics
Covers the basics of real analysis, including limits, sequences, and continuous functions.
Infimum and Supremum: Understanding Bounded Sets
Explains infimum, supremum, Archimedes' properties, rational numbers density, and exercises on irrational numbers and minimum values.
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.
Real Numbers: Properties and Formulas
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Explores real numbers, including supremum, infimum, maximum, and minimum properties.
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: Definitions and Equivalence Classes
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Covers the existence of real numbers and equivalence classes of Cauchy sequences.
Properties of Real Numbers: Bounds, Density, Absolute Value
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Covers the properties of real numbers, including bounds, density, and absolute value.
Real Numbers: Axioms and Bounds
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Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.
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.
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