Plane Algebraic Curves Translated by John Stillwell /

• Κύριοι συγγραφείς: Brieskorn, Egbert (Συγγραφέας), Knörrer, Horst (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
• Σειρά: Modern Birkhäuser Classics
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.