Taming the Unknown : : A History of Algebra from Antiquity to the Early Twentieth Century / / Victor J. Katz, Karen Hunger Parshall.
What is algebra? For some, it is an abstract language of x's and y's. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra ev...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©2014 |
| Year of Publication: | 2014 |
| Edition: | Core Textbook |
| Language: | English |
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| Physical Description: | 1 online resource (504 p.) :; 29 halftones. 51 line illus. 3 maps. |
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Table of Contents:
- Frontmatter
- Contents
- Acknowledgments
- 1. Prelude: What Is Algebra?
- 2. Egypt and Mesopotamia
- 3. The Ancient Greek World
- 4. Later Alexandrian Developments
- 5. Algebraic Thought in Ancient and Medieval China
- 6. Algebraic Thought in Medieval India
- 7. Algebraic Thought in Medieval Islam
- 8. Transmission, Transplantation, and Diffusion in the Latin West
- 9. The Growth of Algebraic Thought in Sixteenth-Century Europe
- 10. From Analytic Geometry to the Fundamental Theorem of Algebra
- 11. Finding the Roots of Algebraic Equations
- 12. Understanding Polynomial Equations in n Unknowns
- 13. Understanding the Properties of "Numbers"
- 14. The Emergence of Modern Algebra
- References
- Index