Selected Topics in Mathematics

Related lectures (30)

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Covers strings, countable sets, cardinality, and the concept of countability, exploring the countability of various sets and Cantor diagonalization.

Explores countable and uncountable sets, demonstrating how to determine the cardinality of different sets through listing elements in a sequence.

Covers selected topics in mathematics for students interested in foundational concepts and challenges.

Covers countable and uncountable sets, sequences, summation, and Cantor's Diagonalization proof.

Covers selected mathematical topics including numbers, approximations, algebraic structures, limits, and series.

Explores cardinality, countable sets, and examples of countable and uncountable sets.

Explains Cantor's theorem comparing cardinalities of different number sets.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.

Covers countability and bijections between sets, demonstrating the uncountability of real numbers.