Lectures related to Real closed field

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

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

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.

Explores functions from R^n to R, focusing on graph correspondence and deficiency analysis.

Explores the proposition that X² is not equal to 2 using absurd reasoning.

Discusses two propositions about converging sequences of real numbers and explores their consequences.

Covers the concept of area, axioms, and the area of rectangles.

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

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

Explores real sequences, limits, convergence, divergence, and operations on limits.

Explores the extension of the chain rule to higher dimensions and compositions of functions.

Covers algebraic operations on limits of sequences of real numbers.

Introduces the course content by linking familiar mathematics with upcoming topics.

Explores the concept of limits of sequences and their convergence towards infinity or negative infinity.

Explores the algebraic properties of the scalar product and their geometric implications.

Explains the concept of Q as a subset of R and their properties.

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

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

Covers the answers to quiz questions on predicate logic.

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