Integers: Elementary Concepts

Related lectures (27)

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Introduces Cartesian product and induction for proofs using integers and sets.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Explains mathematical induction for proving propositions true for all positive integers.

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

Covers the principle of mathematical induction for proving propositions true for all positive integers.

Introduces mathematical induction principles and applications, including inequalities, divisibility, subsets, and strong induction.

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Covers absolute value, subtraction in integers, and comparisons between integers.

Covers basic properties of natural numbers, including order relations and inverses.

Explores strong induction as a proof method and demonstrates its application in proving a theorem about positive integers.