Plane Algebraic Curves Translated by John Stillwell /

• Main Authors: Brieskorn, Egbert (Author), Knörrer, Horst (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
• Series: Modern Birkhäuser Classics
• Subjects: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Algebraic topology.; Algebraic Geometry.; Commutative Rings and Algebras.; Algebraic Topology.

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...

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.