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

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

09.01.2007

Abbildungen

XII, 578 p. 36 illus.

Herausgeber

Catherine Goldstein + weitere

Verlag

Springer Berlin

Seitenzahl

578

Maße (L/B/H)

24,1/16/3,7 cm

Gewicht

1045 g

Auflage

2007

Sprache

Englisch

ISBN

978-3-540-20441-1

Beschreibung

Rezension

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 will stand as an important reference work on the history of number theory for many years. … The editors and authors deserve our thanks for their efforts." (Victor J. Katz, Mathematical Reviews, Issue 2008 h)“It’s a big book, with eighteen authors and almost six hundred pages, and it mixes the work of well-established scholars with that of recent Ph.D.’s. … This volume deserves a wide audience, both among the mathematically able and among historians of nineteenth-century science.” (Thomas Archibald, Institute for Science and International Security, Vol. 102 (2), June, 2011)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

09.01.2007

Abbildungen

XII, 578 p. 36 illus.

Herausgeber

Verlag

Springer Berlin

Seitenzahl

578

Maße (L/B/H)

24,1/16/3,7 cm

Gewicht

1045 g

Auflage

2007

Sprache

Englisch

ISBN

978-3-540-20441-1

Herstelleradresse

Springer-Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

Email: ProductSafety@springernature.com

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  • Produktbild: The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae
  • 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Quadratic Forms and the Foundations of Mathematics.- Composition of Quadratic Forms: An Algebraic Perspective.- The Unpublished Section Eight: On the Way to Function Fields over a Finite Field.- The German Reception of the Disquisitiones Arithmeticae: Institutions and Ideas.- A Network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.