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Axiom of Completeness and Consequences
Introduce Axiom of Completeness, the bed rock of advanced calculus, where every nonempty bounded above subset of R has a lower upper bound (supremum), and every nonempty bounded below subset of R has a greatest lower bound (infimum). Introduce the consequences of the Axiom of Completeness, with the Nested Interval Property and the Archimedean Property.
- Book & Paket-Deal
- Class notes
- • 3 pages •
Introduce Axiom of Completeness, the bed rock of advanced calculus, where every nonempty bounded above subset of R has a lower upper bound (supremum), and every nonempty bounded below subset of R has a greatest lower bound (infimum). Introduce the consequences of the Axiom of Completeness, with the Nested Interval Property and the Archimedean Property.
Introduction to Advanced Calculus 1 (The Real Numbers)
Prove the irrationality of square root of two; Give some preliminary introduction to this course, including sets, functions, logics and proofs, induction.
- Book & Paket-Deal
- Class notes
- • 2 pages •
Prove the irrationality of square root of two; Give some preliminary introduction to this course, including sets, functions, logics and proofs, induction.