Topics in analysis

Related lectures (31)

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

Covers selected topics in mathematics, including Taylor approximations and algebraic structures of Z and K[X].

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

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

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

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

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

Delves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.

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

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.