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  2. Elementary Number Theory, Group Theory and Ramanujan Graphs

    en.wikipedia.org/wiki/Elementary_Number_Theory...

    Its authors have divided Elementary Number Theory, Group Theory and Ramanujan Graphs into four chapters. The first of these provides background in graph theory, including material on the girth of graphs (the length of the shortest cycle), on graph coloring, and on the use of the probabilistic method to prove the existence of graphs for which both the girth and the number of colors needed are ...

  3. Glossary of number theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_number_theory

    1. The class number of a number field is the cardinality of the ideal class group of the field. 2. In group theory, the class number is the number of conjugacy classes of a group. 3. Class number is the number of equivalence classes of binary quadratic forms of a given discriminant. 4. The class number problem. conductor

  4. Greek mathematics - Wikipedia

    en.wikipedia.org/wiki/Greek_mathematics

    Download as PDF; Printable version; ... a canon of geometry and elementary number theory for many centuries. ... Burton, David M. ...

  5. Number theory - Wikipedia

    en.wikipedia.org/wiki/Number_theory

    Vinogradov, I. M. (2003) [1954]. Elements of Number Theory (reprint of the 1954 ed.). Mineola, NY: Dover Publications. Hardy and Wright's book is a comprehensive classic, though its clarity sometimes suffers due to the authors' insistence on elementary methods (Apostol 1981). Vinogradov's main attraction consists in its set of problems, which ...

  6. Category:Elementary number theory - Wikipedia

    en.wikipedia.org/wiki/Category:Elementary_number...

    Elementary number theory includes topics of number theory commonly taught at the primary and secondary school level, or in college courses on introductory number theory. Shortcut {{ MSC }}

  7. Elementary number - Wikipedia

    en.wikipedia.org/wiki/Elementary_number

    An elementary number is one formalization of the concept of a closed-form number. The elementary numbers form an algebraically closed field containing the roots of arbitrary expressions using field operations, exponentiation, and logarithms. The set of the elementary numbers is subdivided into the explicit elementary numbers and the implicit ...

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  9. Elementary proof - Wikipedia

    en.wikipedia.org/wiki/Elementary_proof

    Many mathematicians then attempted to construct elementary proofs of the theorem, without success. G. H. Hardy expressed strong reservations; he considered that the essential "depth" of the result ruled out elementary proofs: No elementary proof of the prime number theorem is known, and one may ask whether it is reasonable to expect one.