Lectures related to Construction of Real Numbers

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

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

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

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

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

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

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

Explores boundaries in sets, defining them as points not well separated from the set or its complement.

Explores Dedekind cuts in rational numbers, essential for constructing real numbers.

Covers inf/sup, integral part of real numbers, and density of rational numbers.

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

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

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

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

Covers selected topics in mathematics for students interested in foundational concepts and challenges.

Explores quantum bits, including illustrations, postulates, and examples of quantum systems and Hilbert space.

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

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

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

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