The Beginnings and Evolution of Algebra

The Beginnings and Evolution of Algebra

by Isabella Bashmakova, G. S. Smirnova
     
 

ISBN-10: 0883853299

ISBN-13: 9780883853290

Pub. Date: 01/01/2000

Publisher: Mathematical Association of America

The elements of algebra were known to the ancient Mesopotamians at least 4000 years ago. Today algebra stands as one of the cornerstones of modern mathematics. How then did the subject evolve? How did its constituent ideas and concepts arise, and how have they changed over the years? These are the questions that the authors address in this work. The authors challenge…  See more details below

Overview

The elements of algebra were known to the ancient Mesopotamians at least 4000 years ago. Today algebra stands as one of the cornerstones of modern mathematics. How then did the subject evolve? How did its constituent ideas and concepts arise, and how have they changed over the years? These are the questions that the authors address in this work. The authors challenge the existing view that the development of algebra was driven by the investigation of determinate equations and in particular their solution by radicals. In short they claim that the study of indeterminate equations was no less important. Historians of mathematics, as well as working algebraists who want to look into the history of their subject, will find this an illuminating read.

Product Details

ISBN-13:
9780883853290
Publisher:
Mathematical Association of America
Publication date:
01/01/2000
Series:
Dolciani Mathematical Expositions Series
Edition description:
New Edition
Pages:
196
Product dimensions:
5.90(w) x 8.90(h) x 0.50(d)

Related Subjects

Table of Contents

1. Elements of algebra in ancient Babylonia; 2. Ancient Greek 'geometric algebra'; 3. The birth of literal algebra; 4. Algebra in the middle ages in the Arabic east and in Europe; 5. The first achievements of algebra in Europe; 6. Algebra in the sixteenth and seventeenth centuries; 7. The theory of algebraic equations in the nineteenth century; 8. Problems of number theory and the birth of commutative algebra; 9. Linear and noncommutative algebra.

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