Chargement en cours…

Taming the Unknown : A History of Algebra from Antiquity to the Early Twentieth Century /

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...

Description complète

Détails bibliographiques
Auteurs principaux: Katz, Victor J. (Auteur), Parshall, Karen Hunger, 1955- (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Princeton, New Jersey : Princeton University Press, [2014]
Collection:Book collections on Project MUSE.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • 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.