Browse all topics in Mathematics for Data Science. Start anywhere, continue anytime.
Understanding ℕ and ℤ, including course-specific conventions where natural numbers include 0.
Definition, representation, reduced form, and the density property of rational numbers.
Beyond rationals, proof that √2 is irrational, and the complete real number system.
Brief overview of complex numbers and their necessity in mathematics.
Basic set theory, notation, subsets, set comprehension, and intervals.
Mathematical relations, properties like reflexivity, symmetry, and transitivity.
Function definition, types, injective, surjective, bijective functions, and cardinality.
Definition, Sieve of Eratosthenes, prime factorization, and infinity of primes.
Historical context, proofs, and famous irrational numbers like π and e.
Countable vs uncountable infinity, Cantor's diagonal argument, and the continuum hypothesis.