Introduction to Analysis

Related lectures (24)

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

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

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Covers countability and bijections between sets, demonstrating the uncountability of real numbers.

Introduces sets, functions, and proofs in mathematics, covering set equality, subsets, Cartesian products, and truth sets of predicates.

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.

Covers weak derivatives, their properties, and applications in functional analysis.

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

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.