Recursively Defined Sets and Structures

Related lectures (25)

Page 1 of 3

Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.

Explores Fibonacci numbers, rabbit population growth, and recursively defined functions.

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

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

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 the construction of integers through equivalence relations and their properties in mathematics.

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