Matters Mathematical

a₁ abelian abelian group affine plane axioms called Cantor's cardinal number cardinally equivalent cards Chapter commutative ring congruence countable sets cyclic group defined definition discussion distinct divisible divisor equal equivalence relation example Exercise fact factor Fermat finite set form 4n function geometry given greatest common divisor Hence infinite number infinite set instance intersection inverse Josephus permutation Lagrange's theorem Lemma Let G lines mathematical induction mathematician mathematics mod q modulo Moulton plane multiplication notation Note number of elements number of primes number theory odd number one-to-one correspondence one-to-one mapping p₁ parallel parallelogram permutation plane of order polynomial positive integers possible prime number proof properties prove rational numbers real numbers relatively prime result set of integers set of positive Show squares subgroup of G subsets Suppose theorem tion unique verify Wilson's theorem write x₁