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Related lectures (30)
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Number Theory: Operations and Equivalence
Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.
Division and Multiplication in Rational Numbers
Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.
More Results on Inf/Sup, Density of Q in R
Covers inf/sup, integral part of real numbers, and density of rational numbers.
The Bolzano-Weierstrass Theorem
Explains the Bolzano-Weierstrass Theorem, stating that every bounded sequence has a convergent subsequence.
Interior Points and Convergence
Explains interior points, convergence of sequences, and the dense property in real numbers.
Construction of Real Numbers
Discusses the construction and uniqueness of real numbers from rational numbers.
Integers and Rings
Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.
Different Infinities: Cantor's Theorem
Explains Cantor's theorem comparing cardinalities of different number sets.
Logic and Proof Techniques
Covers integers, rationals, logic, proof techniques, functions, and relations using examples and truth tables.
Multiplication in Rational Numbers
Covers the extension of addition and multiplication operations in rational numbers.
