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Related lectures (31)

Page 3 of 4

Introduction to Real Numbers

Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.

Introduction to Real Numbers

Introduces the axiomatic structure of real numbers and their properties, including completeness and the Archimedean property.

Continuity of a Function

Explores the conditions for continuity of a function on real numbers.

Real Numbers: Structure and Properties

Covers the structure and properties of real numbers, including the introduction to the axiomatic system and the implications of Archimedean property.

Complex Numbers: Algebraic Structures and Applications

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

Real Analysis: Basics and Sequences

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

Organization, Numbers: Real Numbers and Equations

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

Construction of Real Numbers

Discusses the construction and uniqueness of real numbers from rational numbers.

Continuity: Limits, Sequences, and Algebraic Operations

Explores limits, sequences, algebraic operations, and continuity in real numbers.

Real Numbers: Order and Completeness

Covers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.