Lectures related to Proposition: Demonstration by Absurd Reasoning

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

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

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

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

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.

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

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.

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

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

Covers the concepts of sequences, convergence, and boundedness in mathematics.

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

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

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

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

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

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

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

Covers the definition of linear equations, systems, solutions, and representations in 2D and 3D.

Covers the answers to quiz questions on predicate logic.

Covers irreducible polynomials, fundamental theorem of algebra, and factorization in complex and real polynomials.