Selected Topics in Mathematics

Related lectures (30)

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

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

Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.

Explores the countability of subsets of real numbers and demonstrates that the set of real numbers is uncountable.

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

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

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

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

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

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.