The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae
Editors: Goldstein, Catherine, Schappacher, Norbert, Schwermer, Joachim (Eds.)
Free PreviewBuy this book
 About the authors

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 thcentury 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 ErwinSchroedinger 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.
 Reviews

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 wellestablished scholars with that of recent Ph.D.’s. … This volume deserves a wide audience, both among the mathematically able and among historians of nineteenthcentury science.” (Thomas Archibald, Institute for Science and International Security, Vol. 102 (2), June, 2011)
 Table of contents (20 chapters)


A Book in Search of a Discipline (1801–1860)
Pages 265

Several Disciplines and a Book (1860–1901)
Pages 66103

The Disquisitiones Arithmeticae and the Theory of Equations
Pages 107127

Composition of Binary Quadratic Forms and the Foundations of Mathematics
Pages 129144

Composition of Quadratic Forms: An Algebraic Perspective
Pages 145158

Table of contents (20 chapters)
Recommended for you
Bibliographic Information
 Bibliographic Information

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

 Catherine Goldstein
 Norbert Schappacher
 Joachim Schwermer
 Copyright
 2007
 Publisher
 SpringerVerlag Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
 eBook ISBN
 9783540347200
 DOI
 10.1007/9783540347200
 Hardcover ISBN
 9783540204411
 Softcover ISBN
 9783642058028
 Edition Number
 1
 Number of Pages
 XII, 578
 Number of Illustrations
 36 b/w illustrations
 Topics