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|a The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae
|h [electronic resource] /
|c edited by Catherine Goldstein, Norbert Schappacher, Joachim Schwermer.
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|a 1st ed. 2007.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2007.
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| 300 |
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|a XII, 578 p. 36 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a A Book's History -- A Book in Search of a Discipline (1801-1860) -- Several Disciplines and a Book (1860-1901) -- Algebraic Equations, Quadratic Forms, Higher Congruences: Key Mathematical Techniques of the Disquisitiones Arithmeticae -- The Disquisitiones Arithmeticae and the Theory of Equations -- Composition of Binary Quadratic Forms and the Foundations of Mathematics -- Composition of Quadratic Forms: An Algebraic Perspective -- The Unpublished Section Eight: On the Way to Function Fields over a Finite Field -- The German Reception of the Disquisitiones Arithmeticae: Institutions and Ideas -- A Network of Scientific Philanthropy: Humboldt's Relations with Number Theorists -- 'O ??ò?' A??????í???: The Rise of Pure Mathematics as Arithmetic with Gauss -- Complex Numbers and Complex Functions in Arithmetic -- From Reciprocity Laws to Ideal Numbers: An (Un)Known Manuscript by E.E. Kummer -- Elliptic Functions and Arithmetic -- Numbers as Model Objects of Mathematics -- The Concept of Number from Gauss to Kronecker -- On Arithmetization -- Number Theory and the Disquisitiones in France after 1850 -- The Hermitian Form of Reading the Disquisitiones -- Number Theory at the Association française pour l'avancement des sciences -- Spotlighting Some Later Reactions -- An Overview on Italian Arithmetic after the Disquisitiones Arithmeticae -- Zolotarev's Theory of Algebraic Numbers -- Gauss Goes West: The Reception of the Disquisitiones Arithmeticae in the USA -- Gauss's Theorems in the Long Run: Three Case Studies -- Reduction Theory of Quadratic Forms: Towards Räumliche Anschauung in Minkowski's Early Work -- Gauss Sums -- The Development of the Principal Genus Theorem.
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| 650 |
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|a Number theory.
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| 650 |
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|a Algebra.
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| 650 |
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|a Mathematics.
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| 650 |
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|a History.
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|a Number Theory.
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|a Algebra.
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| 650 |
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|a History of Mathematical Sciences.
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| 700 |
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|a Goldstein, Catherine.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
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|a Schappacher, Norbert.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 700 |
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|a Schwermer, Joachim.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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| 710 |
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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| 776 |
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|i Printed edition:
|z 9783540800408
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| 776 |
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|i Printed edition:
|z 9783642058028
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| 776 |
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|i Printed edition:
|z 9783540204411
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|u https://doi.uam.elogim.com/10.1007/978-3-540-34720-0
|z Texto Completo
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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| 950 |
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|a Mathematics and Statistics (SpringerNature-11649)
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| 950 |
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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