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Related lectures (29)
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Real Numbers: Absolute Value and Density
Covers absolute value, density of rationals, and real line topology.
Real Numbers: Definitions and Properties
Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.
Proofs: Contraposition vs. Contradiction
Covers the concepts of contraposition and contradiction in proofs.
Decimal Development
Delves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.
Real Numbers: Sets and Operations
Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.
Properties of Real Numbers: Bounds, Density, Absolute Value
Covers the properties of real numbers, including bounds, density, and absolute value.
Geometric Meanings: Euclidean Division and Divine Proportion
Explores the historical and mathematical significance of Euclidean Division and the Divine Proportion in geometry and art.
Sets: Basics
Covers the basics of sets, including types of numbers and set operations.
Terminologie conventions
Covers the terminology and conventions related to the limit of a function and introduces algebraic and transcendental functions.
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.