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＜電子ブック＞
The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae / edited by Catherine Goldstein, Norbert Schappacher, Joachim Schwermer

版	1st ed. 2007.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2007
大きさ	XII, 578 p. 36 illus : online resource
著者標目	Goldstein, Catherine editor Schappacher, Norbert editor Schwermer, Joachim editor SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Algebra LCSH:Mathematics LCSH:History FREE:Number Theory FREE:Algebra FREE:History of Mathematical Sciences
一般注記	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Quadratic Forms and the Foundations of Mathematics -- Composition of Quadratic Forms: An Algebraic Perspective -- The Unpublished Section Eight: On the Way to Function Fields over a Finite Field -- The German Reception of the Disquisitiones Arithmeticae: Institutions and Ideas -- A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 HTTP:URL=https://doi.org/10.1007/978-3-540-34720-0

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