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Quadratic forms and quadratic fields

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 70))

Abstract

Dedekind realised that one can give a clear presentation of Gauss’s theory of quadratic forms (Chapter 2), and particularly the composition of classes of forms, when one goes from forms to modules in quadratic fields. Here we consider the modules first and then give the connection between modules and forms.

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© 1991 Springer Science+Business Media Dordrecht

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Koch, H. (1991). Quadratic forms and quadratic fields. In: Introduction to Classical Mathematics I. Mathematics and Its Applications, vol 70. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3218-3_21

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  • DOI: https://doi.org/10.1007/978-94-011-3218-3_21

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-1238-3

  • Online ISBN: 978-94-011-3218-3

  • eBook Packages: Springer Book Archive

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