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The shaping of arithmetic : after C.F. Gauss's Disquisitiones Arithmeticae

Autor: Catherine Goldstein, (Mathematician); Norbert Schappacher; Joachim Schwermer
Editorial: Berlin : Springer, ©2007.
Edición/Formato:   Libro-e : Documento : Inglés (eng)Ver todas las ediciones y todos los formatos
Base de datos:WorldCat
Resumen:
The cultural historian, Theodore Merz called it the great book with seven seals, the mathematician Leopold Kronecker, "the book of all books": already one century after their publication, C.F. Gauss's "Disquisitiones Arithmeticae" (1801) had acquired an almost mythical reputation. It had served throughout the XIXth century and beyond as an ideal of exposition in matters of notation, problems and methods; as a model  Leer más
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Género/Forma: Electronic books
Formato físico adicional: Print version:
Shaping of arithmetic.
Berlin : Springer, ©2007
(DLC) 2006932291
(OCoLC)80740189
Persona designada: Carl Friedrich Gauss; Carl Friedrich Gauss
Tipo de material: Documento, Recurso en Internet
Tipo de documento: Recurso en Internet, Archivo de computadora
Todos autores / colaboradores: Catherine Goldstein, (Mathematician); Norbert Schappacher; Joachim Schwermer
ISBN: 9783540204411 3540204415 9783540347200 3540347208 1280804068 9781280804069
Número OCLC: 159934245
Descripción: 1 online resource (x, 578 pages) : 36 illustrations
Contenido: A Book{u2019}s History --
A Book in Search of a Discipline (1801{u2013}1860) --
Several Disciplines and a Book (1860{u2013}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The Unpublished Section Eight: On the Way to Function Fields over a Finite Field --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{u2019}s Relations with Number Theorists --
{u2018}O??ò?{u2019} 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{u2019}avancement des sciences --
Spotlighting Some Later Reactions --
An Overview on Italian Arithmetic after the Disquisitiones Arithmeticae --
Zolotarev{u2019}s Theory of Algebraic Numbers --
Gauss Goes West: The Reception of the Disquisitiones Arithmeticae in the USA --
Gauss{u2019}s Theorems in the Long Run: Three Case Studies --
Reduction Theory of Quadratic Forms: Towards Räumliche Anschauung in Minkowski{u2019}s Early Work --
Gauss Sums --
The Development of the Principal Genus Theorem.
Responsabilidad: Catherine Goldstein, Norbert Schappacher, Joachim Schwermer, editors.
Más información:

Resumen:

Since its publication, C F Gauss' "Disquisitiones Arithmeticae" (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; and as a  Leer más

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From the reviews: "A book that traces the profound effect Gauss's masterpiece has had on mathematics over the past two centuries. ... The shaping of arithmetic is a major accomplishment, one which Leer más

 
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