Number Theory
6 pages in this group
Dependency tree
An arrow runs from a page to a page that rests on it: page B points at page A when some result on A depends, through the item graph, on a result whose home is B. Only pages in Number Theory are shown; anything this group rests on from elsewhere in the library is listed below.
Pages, prerequisites first
Rests on other groups
- Congruences and Modular Arithmetic: Examples and Counterexamples rests on Binary Operations, Monoids, Groups and Subgroups, Construction of the Natural Numbers, Construction of the Real Numbers via Cauchy Sequences, Countability and Uncountability, Finite Counting, Factorials and Binomial Coefficients, Foundations of the Real Numbers for Analysis, Inclusion–Exclusion, the Pigeonhole Principle and Double Counting, Relations, Functions, and Quotients, Roots, Rational Powers, and Classical Inequalities, The ZFC Axioms and the Basic Set Constructions
- Congruences, the Integers Modulo n and the Chinese Remainder Theorem rests on Binary Operations, Monoids, Groups and Subgroups, Construction of the Natural Numbers, Construction of the Real Numbers via Cauchy Sequences, Countability and Uncountability, Finite Counting, Factorials and Binomial Coefficients, Foundations of the Real Numbers for Analysis, Inclusion–Exclusion, the Pigeonhole Principle and Double Counting, Relations, Functions, and Quotients, Roots, Rational Powers, and Classical Inequalities, The ZFC Axioms and the Basic Set Constructions
- Divisibility and Greatest Common Divisors: Examples and Counterexamples rests on Binary Operations, Monoids, Groups and Subgroups, Construction of the Natural Numbers, Construction of the Real Numbers via Cauchy Sequences, Relations, Functions, and Quotients, The ZFC Axioms and the Basic Set Constructions
- Divisibility, Greatest Common Divisors and Bézout's Identity rests on Binary Operations, Monoids, Groups and Subgroups, Construction of the Natural Numbers, Construction of the Real Numbers via Cauchy Sequences, Relations, Functions, and Quotients, The ZFC Axioms and the Basic Set Constructions
- Primes and Factorisation: Examples and Counterexamples rests on Binary Operations, Monoids, Groups and Subgroups, Construction of the Natural Numbers, Construction of the Real Numbers via Cauchy Sequences, Countability and Uncountability, Finite Counting, Factorials and Binomial Coefficients, Foundations of the Real Numbers for Analysis, Relations, Functions, and Quotients, Roots, Rational Powers, and Classical Inequalities, The ZFC Axioms and the Basic Set Constructions
- Primes, Euclid's Lemma and the Fundamental Theorem of Arithmetic rests on Binary Operations, Monoids, Groups and Subgroups, Construction of the Natural Numbers, Construction of the Real Numbers via Cauchy Sequences, Countability and Uncountability, Foundations of the Real Numbers for Analysis, Relations, Functions, and Quotients, The ZFC Axioms and the Basic Set Constructions