eBook ISBN:  9781470457228 
Product Code:  DOL/23.E 
List Price:  $60.00 
MAA Member Price:  $45.00 
AMS Member Price:  $45.00 
eBook ISBN:  9781470457228 
Product Code:  DOL/23.E 
List Price:  $60.00 
MAA Member Price:  $45.00 
AMS Member Price:  $45.00 

Book DetailsDolciani Mathematical ExpositionsVolume: 23; 2000; 196 pp
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? An illuminating read for historians of mathematics and working algebraists looking into the history of their subject.

Table of Contents

Articles

Elements of algebra in ancient Babylonia

Ancient Greek “geometric algebra”

The birth of literal algebra

Algebra in the Middle Ages in the Arabic East and in Europe

The first achievements of algebra in Europe

Algebra in the 17th and 18th centuries

The theory of algebraic equations in the 19th century

Problems of number theory and the birth of commutative algebra

Linear and noncommutative algebra


Reviews

As is so well documented in this book, the concrete applications of geometry was the first of the mathematical arts, closely followed by algebra. While necessary to measure the physical world, geometry as we now know it would have been very limited without the ability to express the ideas in symbols. The authors also convincingly argue that the solving of indeterminate equations was no less significant than the solving of determinate equations in the evolution of algebra...I found this book captivating as the authors present in great detail how algebra evolved from the first primitive steps to the dynamic and encompassing entity that it is today. Every mathematician should take some time to read this book and appreciate what their predecessors did.
Charles Ashbacher, Charles Ashbacher Technologies


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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? An illuminating read for historians of mathematics and working algebraists looking into the history of their subject.

Articles

Elements of algebra in ancient Babylonia

Ancient Greek “geometric algebra”

The birth of literal algebra

Algebra in the Middle Ages in the Arabic East and in Europe

The first achievements of algebra in Europe

Algebra in the 17th and 18th centuries

The theory of algebraic equations in the 19th century

Problems of number theory and the birth of commutative algebra

Linear and noncommutative algebra

As is so well documented in this book, the concrete applications of geometry was the first of the mathematical arts, closely followed by algebra. While necessary to measure the physical world, geometry as we now know it would have been very limited without the ability to express the ideas in symbols. The authors also convincingly argue that the solving of indeterminate equations was no less significant than the solving of determinate equations in the evolution of algebra...I found this book captivating as the authors present in great detail how algebra evolved from the first primitive steps to the dynamic and encompassing entity that it is today. Every mathematician should take some time to read this book and appreciate what their predecessors did.
Charles Ashbacher, Charles Ashbacher Technologies