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| Titolo: | The shaping of arithmetic after C.F. Gauss's Disquisitiones arithmeticae / Catherine Goldstein, Norbert Schappacher, Joachim Schwermer editors. |
| Pubblicazione: | Berlin : Springer, c2007. |
| Descrizione fisica: | XI, 578 p. : ill., ritr. ; 24 cm |
| Contiene: | Indice: Foreword. Table of contents. Editions of C.F. Gauss's Disquisitiones arithmeticae. Pt. 1. A book's history: 1. A book in search of a discipline (1801-1860) / Catherine Goldstein & Norbert Schappacher 2. Several disciplines and a book (1860-1901) / Catherine Goldstein & Norbert Schappacher. Pt. 2. Algebraic equations, quadratric forms, higher congruences: key mathematical techniques of the Disquisitiones: 1. The Disquisitiones arithmeticae and the theory of equations / Olaf Neumann 2. Composition of binary quadratic forms and the foundations of mathematics / Harold M. Edwards 3. Composition of quadratic forms: an algebraic perspective / Della Fenster & Joachim Schwermer 4. The unpublished section eight: on the way to function fields over a finite field / Günther Frei. Pt. 3. The German reception of the Disquisitiones arithmeticae: institutions and ideas: 1. A network of scientific philanthropy: Humboldt's relations with number theorists / Herbert Pieper 2. O Theos Arithmetizei: the rise of pure mathematics as arithmetic with Gauss / José Ferreirós. Pt. 4. Complex numbers and complex functions in arithmetic: 1. From reciprocity laws to ideal numbers: an (un)known manuscript by E.E. Kummer / Reinhard Bölling 2. Elliptic functions and arithmetic / Christian Houzel. Pt. 5. Numbers as model objects of mathematics: 1. The concept of number from Gauss to Kronecker / Jacqueline Boniface 2. On arithmetization / Birgit Petri & Norbert Schappacher. Pt. 6. Number theory and the Disquisitiones in France after 1850: 1. The Hermitian form of reading the Disquisitiones / Catherine Goldstein 2. Number theory at the Association française pour l'avancement des sciences / Anne-Marie Décaillot. Pt. 7. Spotlighting some later reactions: 1. An overview on Italian arithmetic after the Disquisitiones arithmeticae / Aldo Brigaglia 2. Zolotarev's theory of algebraic numbers / Paola Piazza 3. Gauss goes west: the reception of the Disquisitiones arithmeticae in the USA / Della Fenster. Pt. 8. Gauss's theorems in the long run: three case studies: 1. Reduction theory of quadratic forms: toward Räumliche Anschauung in Minkowski's early work / Joachim Scwermer 2. Gauss sums / Samuel J. Patterson 3. The development of the principal genus theorem / Franz Lemmermeyer. List of illustrations. Index. Authors' addresses |
| ISBN: | 9783540204411 |
| Altri autori: | Goldstein, Catherine.
Schwermer, Joachim. Neumann, Olaf. Edwards, Harold M. Fenster, Della Dumbaugh. Frei, Günther. Pieper, Herbert, 1943-2008. Ferreirós, José. Bölling, Reinhard. Houzél, Christian. Boniface, Jacqueline. Petri, Birgit. Décaillot, Anne-Marie. Brigaglia, Aldo. Piazza, Paola, 1970- Patterson, Samuel J., 1948- Lemmermeyer, Franz. Schappacher, Norbert. |
| Discipline: | Aritmetica e Algebra--Studi. |
| Persone: | Gauss, Carl Friedrich, 1777-1855. |
| Sudd. cronologiche: | Secolo XIX. Secolo XX. |
| Collocazione: | LS 16289 |
| Nota di esemplare: | Mostra nota di esemplare |
| 000000959035 |
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