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Overview
This 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-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
Synopsis
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.
Booknews
A historical presentation of the two stages of development in the idea of mathematical structure. Corry traces the structural approach from the mid 19th century to its consolidation in the 1930s into "algebraic structures." On the other hand, the more elusive attempt to address the meaning of structure from a mathematical perspective begins in 1930 and is defined by Oystein Ore's lattice-theoretical theory of structures, Nicolas Bourbaki's theory of structures, and the theory of categories and functors. Annotation c. Book News, Inc., Portland, OR (booknews.com)