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Related lectures (32)
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Bolzano-Weierstrass: Advanced Analysis I
Explores the Bolzano-Weierstrass theorem on bounded sequences and convergent subsequences.
Convergence of Monotonic Sequences
Covers the convergence of monotonic sequences, discussing how a monotonically increasing or decreasing sequence that is bounded converges to its supremum or infimum respectively.
Mathematics: Functions and Series
Explores functions, series, and critical points in mathematics, including maximum, minimum, supremum, and infimum concepts.
Supremum
Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.
Properties of Continuous Functions
Covers the properties of continuous functions and explores inverse and injective functions with examples.
Math-101(en) / Min/Max, Inf/Sup
Covers minimum, maximum, infimum, and supremum concepts in real numbers with examples and proofs.
Exemple: Infimum and Supremum
Illustrates the calculation of infimum and supremum for a set of elements.
Real Numbers: sqrt(2)
Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.
Characterization of Infimum and Supremum
Explores the definitions and properties of infimum and supremum in mathematical analysis.
Real Numbers: Sets and Operations
Covers the fundamental concepts related to real numbers, including sets, notations, and operations.