Selected Topics in Mathematics

Related lectures (30)

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

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

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

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

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

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

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.

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

Explores countable and uncountable sets, demonstrating how to determine the cardinality of different sets through listing elements in a sequence.

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