Real Numbers: Structure and Properties

Related lectures (31)

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

Covers the concept of total order relation and properties of real numbers.

Covers the Archimedean property and the proposition for all x in a set, there exists a positive real number n such that n*x is greater than y.

Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.

Delves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.

Explores the properties and applications of roots of real numbers through practical examples.

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

Covers algebraic structures, real numbers, fields, and the applications of complex numbers in science and engineering.

Explores real numbers, including supremum, infimum, maximum, and minimum properties.

Introduces real numbers, including equations like x²=2 with no rational solutions.

Introduces real analysis basics, including functions, sequences, limits, and set properties in R.

Page 2 of 2