Plane Algebraic Curves

Egbert Brieskorn was a Professor of Mathematics at the University of Bonn, Germany. Horst Knorrer is a Professor of Mathematics at the ETH Zurich, Switzerland.

"It provides a comprehensive overview for all who are interested in GO with an emphasis on theory and algorithms." (W. Huyer, Monatshefte fur Mathematik, 2015) "This is a masterly expositional work in which the conversational style of narrative never leaves the reader in doubt about the direction of enquiry. ... the richness of this publication really resides in the fascinating range of mathematical ideas that support its main line of enquiry. ... it can be read selectively at so many different levels up to the postgraduate stage." (PeterRuane,The Mathematical Association of America, January, 2013)

• 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.​