| eBook ISBN: | 978-1-4704-5722-8 |
| Product Code: | DOL/23.E |
| List Price: | $60.00 |
| MAA Member Price: | $45.00 |
| AMS Member Price: | $45.00 |
| eBook ISBN: | 978-1-4704-5722-8 |
| Product Code: | DOL/23.E |
| List Price: | $60.00 |
| MAA Member Price: | $45.00 |
| AMS Member Price: | $45.00 |
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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.
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Table of Contents
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Articles
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Elements of algebra in ancient Babylonia
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Ancient Greek “geometric algebra”
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The birth of literal algebra
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Algebra in the Middle Ages in the Arabic East and in Europe
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The first achievements of algebra in Europe
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Algebra in the 17th and 18th centuries
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The theory of algebraic equations in the 19th century
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Problems of number theory and the birth of commutative algebra
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Linear and noncommutative algebra
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Reviews
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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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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
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
