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  • © 2004

Modern Algebra and the Rise of Mathematical Structures

Birkhäuser

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  • Updated, improved, and revised

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvii
  2. Introduction: Structures in Mathematics

  3. Structures in the Images of Mathematics

    1. Front Matter

      Pages 13-18
    2. Richard Dedekind: Numbers and Ideals

      • Leo Corry
      Pages 64-136
    3. David Hilbert: Algebra and Axiomatics

      • Leo Corry
      Pages 137-182
    4. Emmy Noether: Ideals and Structures

      • Leo Corry
      Pages 220-251
  4. Structures in the Body of Mathematics

    1. Front Matter

      Pages 252-258
    2. Oystein Ore: Algebraic Structures

      • Leo Corry
      Pages 259-288
    3. Category Theory: Early Stages

      • Leo Corry
      Pages 339-379
    4. Categories and Images of Mathematics

      • Leo Corry
      Pages 380-398
  5. Back Matter

    Pages 399-451

About this book

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.

Authors and Affiliations

  • The Cohn Institute for the History and Philosophy of Science and Ideas, Tel Aviv University, Ramat Aviv, Israel

    Leo Corry

Bibliographic Information

  • Book Title: Modern Algebra and the Rise of Mathematical Structures

  • Authors: Leo Corry

  • DOI: https://doi.org/10.1007/978-3-0348-7917-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 2004

  • Softcover ISBN: 978-3-7643-7002-2Published: 27 November 2003

  • eBook ISBN: 978-3-0348-7917-0Published: 06 December 2012

  • Edition Number: 2

  • Number of Pages: XVIII, 452

  • Additional Information: Originally published as volume 17 in the series: Science Networks Hist. Studies

  • Topics: History of Mathematical Sciences, Algebra

Buy it now

Buying options

eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access