Algebra: Integer Numbers and Principles

Related lectures (23)

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

Covers function composition and integers, including properties and examples.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

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

Covers GCD, LCM, and the Euclidean algorithm for efficient computation of GCD.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

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

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

Covers the basics of analysis, including real numbers, proofs, sets, and operations.