Properties of Real Numbers

Related lectures (23)

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Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

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

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

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

Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.

Introduces Cartesian product and induction for proofs using integers and sets.

Covers the fundamental concepts related to real numbers, including sets, notations, and operations.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.