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Explores the limit of a sequence, convergence conditions, algebraic operations, and order relations.
Covers the basics of group theory, including elements, associativity, identity, inverses, and closure.
Introduces the axiomatic structure of real numbers and their properties, including completeness and the Archimedean property.
Covers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.
Explores entropy theory, compression without loss, and the efficiency of the Shannon-Fano algorithm in data compression.
