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Quadratic irrationals: an introduction to classical number theory

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic...

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Detalles Bibliográficos
Autor principal: Halter-Koch, Franz
Lenguaje:eng
Publicado: CRC Press 2013
Materias:
Acceso en línea:http://cds.cern.ch/record/1604111
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author Halter-Koch, Franz
author_facet Halter-Koch, Franz
author_sort Halter-Koch, Franz
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description Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups. The book highlights the connection between Gauss's theory of binary forms and the arithmetic of quadratic orders. It collects essential results of the theory that have previously been difficult to access and scattered in the literature, including bin
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spelling cern-16041112021-04-21T22:24:55Zhttp://cds.cern.ch/record/1604111engHalter-Koch, FranzQuadratic irrationals: an introduction to classical number theoryMathematical Physics and MathematicsQuadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups. The book highlights the connection between Gauss's theory of binary forms and the arithmetic of quadratic orders. It collects essential results of the theory that have previously been difficult to access and scattered in the literature, including binCRC Pressoai:cds.cern.ch:16041112013
spellingShingle Mathematical Physics and Mathematics
Halter-Koch, Franz
Quadratic irrationals: an introduction to classical number theory
title Quadratic irrationals: an introduction to classical number theory
title_full Quadratic irrationals: an introduction to classical number theory
title_fullStr Quadratic irrationals: an introduction to classical number theory
title_full_unstemmed Quadratic irrationals: an introduction to classical number theory
title_short Quadratic irrationals: an introduction to classical number theory
title_sort quadratic irrationals: an introduction to classical number theory
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1604111
work_keys_str_mv AT halterkochfranz quadraticirrationalsanintroductiontoclassicalnumbertheory