Lectures related to Roots of Real Numbers

Powers and Roots: Understanding Irrational Equations

Delves into powers and roots, emphasizing irrational equations and the disjunction of cases.

Complex Roots: Conjugate Pairs and Quadratic Equations

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Continuity of a Function

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

Properties of Real Numbers: Bounds, Density, Absolute Value

Covers the properties of real numbers, including bounds, density, and absolute value.

Introduction to Analysis

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

Real Numbers: sqrt(2)

Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.

Real Numbers: Absolute Value and Density

Covers absolute value, density of rationals, and real line topology.

Introduction to Real Numbers and Their Properties

Introduces real numbers, their properties, and their significance in analysis.

Real Numbers: Definitions and Properties

Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.

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.

Real Numbers: Sets and Operations

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

Real Numbers: Sets and Operations

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

Real Numbers: Properties and Operations

Covers the properties and operations of real numbers, including divisibility rules and the concept of irreducible fractions.

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.

Real Analysis Basics

Covers the basics of real analysis, including limits, sequences, and continuous functions.

Linear Algebra: Introduction and Systems of Equations

Covers the basics of linear algebra and systems of equations with exercises and IT tools for support.

Intervals: Real Numbers

Explores intervals in real numbers, including open and closed intervals, periodic decimals, and irrational numbers.

Real Numbers: Properties and Bounds

Explores real numbers' properties, bounds, limits, and density in the number line.

Real Numbers: Sets and Operations

Covers the basics of real numbers and set theory, including subsets, intersections, unions, and set operations.

Real Numbers: Decimal Notation

Explores the concept of real numbers through decimal notation and fraction representation.