**History of Mathematics**

Volume: 32;
2007;
336 pp;
Softcover

MSC: Primary 01;
**Print ISBN: 978-0-8218-6904-8
Product Code: HMATH/32.S**

List Price: $69.00

Individual Member Price: $55.20

#### Supplemental Materials

# Episodes in the History of Modern Algebra (1800–1950)

Share this page *Edited by *
*Jeremy J. Gray; Karen Hunger Parshall*

A co-publication of the AMS and the London Mathematical Society

Algebra, as a subdiscipline of mathematics, arguably has a history going
back some 4000 years to ancient Mesopotamia. The history, however, of what
is recognized today as high school algebra is much shorter, extending back
to the sixteenth century, while the history of what practicing
mathematicians call "modern algebra" is even shorter still.

The present volume provides a glimpse into the complicated and
often convoluted history of this latter conception of algebra by
juxtaposing twelve episodes in the evolution of modern algebra from
the early nineteenth-century work of Charles Babbage on functional
equations to Alexandre Grothendieck's mid-twentieth-century metaphor
of a “rising sea” in his categorical approach to algebraic
geometry. In addition to considering the technical development of
various aspects of algebraic thought, the historians of modern algebra
whose work is united in this volume explore such themes as the
changing aims and organization of the subject as well as the often
complex lines of mathematical communication within and across national
boundaries. Among the specific algebraic ideas considered are the
concept of divisibility and the introduction of non-commutative
algebras into the study of number theory and the emergence of
algebraic geometry in the twentieth century.

The resulting volume is essential reading for anyone interested in the
history of modern mathematics in general and modern algebra in particular.
It will be of particular interest to mathematicians and historians of
mathematics.

#### Table of Contents

# Table of Contents

## Episodes in the History of Modern Algebra (1800-1950)

#### Readership

Graduate students and research mathematicians interested in the history of mathematics and algebra.

#### Reviews

This book offers new light on the development and history of modern algebra.

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