libri scuola books Fumetti ebook dvd top ten sconti 0 Carrello


Torna Indietro

goldstein catherine (curatore); schappacher norbert (curatore); schwermer joachim (curatore) - the shaping of arithmetic after c.f. gauss's disquisitiones arithmeticae
Zoom

The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae

; ;




Disponibilità: Normalmente disponibile in 15 giorni


PREZZO
108,98 €
NICEPRICE
103,53 €
SCONTO
5%



Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.


Pagabile anche con Carta della cultura giovani e del merito, 18App Bonus Cultura e Carta del Docente


Facebook Twitter Aggiungi commento


Spese Gratis

Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 02/2010





Sommario

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Quadratic Forms and the Foundations of Mathematics.- Composition of Quadratic Forms: An Algebraic Perspective.- The Unpublished Section Eight: On the Way to Function Fields over a Finite Field.- The German Reception of the Disquisitiones Arithmeticae: Institutions and Ideas.- A Network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.




Autore

Catherine Goldstein is Directrice de recherches du CNRS and works at the Institut de mathématiques de Jussieu (Paris, France). She is the author of "Un théorème de Fermat et ses lecteurs" (1995) and a coeditor  of "Mathematical Europe: History, Myth, Identity"(1996). Her research aims at developing a social history of mathematical practices and results, combining close readings and a network analysis of texts. Her current projects include the study of mathematical sciences through World War I and of experimentation in XVII th-century number theory.

Norbert Schappacher is professor of mathematics at Université Louis Pasteur, Strasbourg.His mathematical interests relate to the arithmetic of elliptic curves.But his current research projects lie in the history of mathematics. Specifically, he focuses on the intertwinement of philosophical and political categories with major junctures in the development of mathematical disciplines in the XIX\up{th} and XX\up{th} centuries. Examples include number theory and algebraic geometry, but also medical statistics.

 Joachim Schwermer is professor of mathematics at University of Vienna. In addition, he serves as scientific director at the Erwin-Schroedinger International Institute for Mathematical Physics, Vienna. His research interests lie in number theory and algebra, in particular, in questions arising in arithmetic algebraic geometry and the theory of automorphic forms. He takes a keen interest in the mathematical sciences in the XIX\up{th} and XX\up{th} centuries in their historical context.











Altre Informazioni

ISBN:

9783642058028

Condizione: Nuovo
Dimensioni: 235 x 155 mm
Formato: Brossura
Illustration Notes:XII, 578 p. 36 illus.
Pagine Arabe: 578
Pagine Romane: xii


Dicono di noi