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Related lectures (30)
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Decimal Expansion: Division and Periodicity
Delves into decimal expansion of rational numbers through Euclidean division, emphasizing periodicity and illustrative examples.
Intervals: Real Numbers
Explores intervals in real numbers, including open and closed intervals, periodic decimals, and irrational numbers.
Introduction to Analysis: Understanding Real Numbers and Proofs
Covers the basics of analysis, including real numbers, proofs, sets, and operations.
Multiplication in Rational Numbers
Covers the extension of addition and multiplication operations in rational numbers.
Real Numbers: Properties and Bounds
Explores real numbers' properties, bounds, limits, and density in the number line.
Norms and Valuations on Fields
Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.
Rational Numbers: Construction and Properties
Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.
Q is a Field
Covers the properties of rational numbers and introduces the concept of an ordered field in Q.
Organization, Numbers: Real Numbers and Equations
Introduces real numbers, including equations like x²=2 with no rational solutions.
Elementary Algebra: Numeric Sets
Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.