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Lecture
Total Order Relation: Properties of Real Numbers
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Related lectures (29)
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Selected Topics in Mathematics
Covers selected topics in mathematics, including Taylor approximations and algebraic structures of Z and K[X].
Introduction to Analysis: Understanding Real Numbers and Proofs
Covers the basics of analysis, including real numbers, proofs, sets, and operations.
Limit of a Sequence
Explores the limit of a sequence, convergence conditions, algebraic operations, and order relations.
Real Numbers: Sets and Operations
Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.
Introduction to Real Numbers
Introduces the axiomatic structure of real numbers and their properties, including completeness and the Archimedean property.
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Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.
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Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
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Rational Numbers: Construction and Properties
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Explores Dedekind cuts in rational numbers, essential for constructing real numbers.
