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## Modern Algebra and the Rise of Mathematical Structures, Second Revised Edition (Softcover)"This book is intended for historians of mathematics and matheticians interested in the development of algebra and in the history of twentieth-century mathematics. It will also be read with interest by philosophers and historians of science concerned with the role of heuristic and contextual factors in the development of scientific ideas." — From the back cover ## $41.95 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This book is in very good condition, with a few signs of use and wear. It was printed on acid-free paper.

## Description

NOTE: The first edition of this book was published in 1996 in the series *Science Networks – Historical Studies* Volume 17.

From the back cover: “The notion of a mathematical structure is among the most pervasive ones in twentieth century mathematics. *Modern Algebra and the Rise of Mathematical Structures* describes two stages in the historical development of this notion: 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.

“Part One of the book discusses the process whereby the aims and scope of the discipline of algebra were deeply transformed, turning it into that branch of mathematics dealing with a new kind of mathematical entities: the ‘algebraic structure’. But, what is a mathematical structure and what is the place of this notion within the whole fabric of mathematics?

“Part Two describes the historical roots, the early stages and the interconnections between three attempts to address these questions from a purely formal, mathematical perspective: Oystein Ore’s lattice-theoretical theory of structures, Nicolas Bourbaki’s theory of structures, and the theory of categories and functors.”

**BRIEF CONTENTS**

- Introduction: Structures in Mathematics
- Part One: Structures in the Images of Mathematics
- Structures in Algebra: Changing Images
- Richard Dedekind: Numbers and Ideals
- David Hilbert: Algebra and Axiomatics
- Concrete and Abstract: Numbers, Polynomials, Rings
- Emmy Noether: Ideals and Structures
- Part Two: Structures in the Body of Mathematics
- Oystein Ore: Algebraic Structures
- Nicolas Bourbaki: Theory of
*Structures* - Category Theory: Early Stages
- Categories and Images of Mathematics
- Bibliography
- Author Index
- Subject Index

## Details

- SKU:
- 2167
- Author:
- Corry, Leo
- Publisher:
- Birkhauser
- Publish Date:
- 2004 (First Printing)
- Format:
- Softcover
- Weight (pounds):
- 2.81
- Dimensions (W”xL”xH”):
- 6.7″x9.45″x1.3″
- ISBN-13:
- 9783764370022
- ISBN-10:
- 3764370025

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