Construction of the real numbers

Related lectures (31)

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

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

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

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

Explains Cantor's theorem comparing cardinalities of different number sets.

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

Covers the concepts of infimum and supremum of subsets in real numbers.

Explores real numbers, including supremum, infimum, maximum, and minimum properties.

Covers the concept of functions defined by entire series and their association with functions f(x).

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