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Modern Algebra and the Rise of Mathematical Structures - Leo Corry

Modern Algebra and the Rise of Mathematical Structures

By: Leo Corry

Paperback Published: 27th November 2003
ISBN: 9783764370022
Number Of Pages: 452

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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.

Introduction: Structures in Mathematicsp. 1
Structures in the Images of Mathematicsp. 13
Structures in Algebra: Changing Imagesp. 19
Richard Dedekind: Numbers and Idealsp. 64
David Hilbert: Algebra and Axiomaticsp. 137
Concrete and Abstract: Numbers, Polynomials, Ringsp. 183
Emmy Noether: Ideals and Structuresp. 220
Structures in the Body of Mathematicsp. 253
Oystein Ore: Algebraic Structuresp. 259
Nicolas Bourbaki: Theory of Structuresp. 289
Category Theory: Early Stagesp. 339
Categories and Images of Mathematicsp. 380
Bibliographyp. 399
Author Indexp. 433
Subject Indexp. 441
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783764370022
ISBN-10: 3764370025
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 452
Published: 27th November 2003
Publisher: Birkhauser Verlag AG
Country of Publication: CH
Dimensions (cm): 24.4 x 17.0  x 2.54
Weight (kg): 1.46
Edition Number: 2
Edition Type: Revised

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