Related lectures (73)
Norms and Valuations on Fields
Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.
Organization, Numbers: Real Numbers and Equations
Introduces real numbers, including equations like x²=2 with no rational solutions.
More Results on Inf/Sup, Density of Q in R
Covers inf/sup, integral part of real numbers, and density of rational numbers.
Advanced Analysis II: Level Sets and Limits
Explores level sets, limits, and approaches to evaluating limits in advanced analysis.
Total Order Relation: Properties of Real Numbers
Covers the concept of total order relation and properties of real numbers.
Real Numbers: Properties and Formulas
Explores real numbers, including supremum, infimum, maximum, and minimum properties.
Cardinality of Sets: Countable and Uncountable
Explores countable and uncountable sets, demonstrating how to determine the cardinality of different sets through listing elements in a sequence.
Boundary Analysis
Explores boundaries in sets, defining them as points not well separated from the set or its complement.
Real Numbers: Axioms and Bounds
Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.
Data Abstraction: Rational Numbers
Covers data abstraction in rational numbers, including client's view, self-reference, preconditions, assertions, constructors, and end markers.

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