Plane Algebraic Curves

Translated by John Stillwell

Häftad, Engelska, 2012

Av Egbert Brieskorn, Horst Knörrer, Horst Knorrer

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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 a topic of research to this day.

Produktinformation

Utgivningsdatum2012-08-26
Mått156 x 234 x 37 mm
Vikt1 008 g
FormatHäftad
SpråkEngelska
SerieModern Birkhäuser Classics
Antal sidor721
Upplaga2012
FörlagSpringer Basel
ISBN9783034804929
ÖversättareStillwell, John

Tillhör följande kategorier

Algebra inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

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.

"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)