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Lecture
Introduction to Real Numbers and Their Properties
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Related lectures (23)
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Math-101(en) / Min/Max, Inf/Sup
Covers minimum, maximum, infimum, and supremum concepts in real numbers with examples and proofs.
Real Numbers: Properties and Formulas
Explores real numbers, including supremum, infimum, maximum, and minimum properties.
Real Numbers and Functions
Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.
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: Axioms and Bounds
Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.
Infimum and Supremum of Subsets
Covers the concepts of infimum and supremum of subsets in real numbers.
Real Numbers: Sets and Operations
Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.
Introduction to Analysis: Understanding Real Numbers and Proofs
Covers the basics of analysis, including real numbers, proofs, sets, and operations.
Taylor Polynomials: Approximating Functions in Multiple Variables
Covers Taylor polynomials and their role in approximating functions in multiple variables.
Linear Independence: The Wronskian Concept
Explains the Wronskian and its role in determining linear independence of solutions to differential equations.