Powers, Roots, etc.: Calculation Rules

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.

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

Covers function composition and integers, including properties and examples.

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