Modern Algebra and the Rise of Mathematica...

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Sprache: Englisch

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Beschreibung

The book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-nineteenth century to its consolidation by 1930, and then it considers several attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.

First published in the series Science Networks Historical Studies, Vol. 17 (1996).

In the second rev. edition the author has eliminated misprints, revised the chapter on Richard Dedekind, and updated the bibliographical index.

Über den Autor

Raya Leviathan

A Computer Science PhD (Weizmann Institute of Science) and History of Technology PhD (Tel Aviv University). Software programmer and team leader with both industrial and academic experience. Currently, a research associate in Tel Aviv University.

Leo Corry

Dean of Humanities, Bert and Barbara Cohn Professor of History and Philosophy of Exact Sciences, Tel Aviv University.

Zusammenfassung

Updated, improved, and revised

Inhaltsverzeichnis

Introduction: Structures in Mathematics.- One: Structures in the Images of Mathematics.- 1 Structures in Algebra: Changing Images.- 2 Richard Dedekind: Numbers and Ideals.- 3 David Hilbert: Algebra and Axiomatics.- 4 Concrete and Abstract: Numbers, Polynomials, Rings.- 5 Emmy Noether: Ideals and Structures.- Two: Structures in the Body of Mathematics.- 6 Oystein Ore: Algebraic Structures.- 7 Nicolas Bourbaki: Theory ofStructures.- 8 Category Theory: Early Stages.- 9 Categories and Images of Mathematics.- Author Index.

Erscheinungsjahr:	2003
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xviii 452 S.
ISBN-13:	9783764370022
ISBN-10:	3764370025
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Corry, Leo
Auflage:	Second Edition 2004
Hersteller:	Birkhäuser Springer Basel AG
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	254 x 178 x 26 mm
Von/Mit:	Leo Corry
Erscheinungsdatum:	27.11.2003
Gewicht:	0,88 kg