Plane Algebraic Curves Translated by John Stillwell

Plane Algebraic Curves Translated by John Stillwell /

In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and topic of research to this day. Arising from notes for a course g...

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Bibliographic Details
Main Author: Brieskorn, Egbert
Corporate Author: SpringerLink (Online service)
Other Authors: Knörrer, Horst
Format: Electronic eBook
Language:English
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
Series:Modern Birkhäuser classics.
Subjects:
Mathematics.
Geometry, Algebraic.
Algebra.
Algebraic topology.
Online Access:Full text (Wentworth users only).
Table of Contents:
  • I. History of algebraic curves
  • 1. Origin and generation of curves
  • 2. Synthetic and analytic geometry
  • 3. The development of projective geometry
  • II. Investigation of curves by elementary algebraic methods
  • 4. Polynomials
  • 5. Definition and elementary properties of plane algebraic curves
  • 6. The intersection of plane curves
  • 7. Some simple types of curves
  • III. Investigation of curves by resolution of singularities
  • 8. Local investigations
  • 9. Global investigations
  • Bibliography
  • Index.

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