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Plane Algebraic Curves: Translated by John Stillwell - Softcover

 
9783034804943: Plane Algebraic Curves: Translated by John Stillwell

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Synopsis

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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About the Author

Egbert Brieskorn was a Professor of Mathematics at the University of Bonn, Germany.

Horst Knörrer is a Professor of Mathematics at the ETH Zurich, Switzerland.

Review

“It provides a comprehensive overview for all who are interested in GO with an emphasis on theory and algorithms.” (W. Huyer, Monatshefte für 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)

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Other Popular Editions of the Same Title

9783034804929: Plane Algebraic Curves: Translated by John Stillwell (Modern Birkhäuser Classics)

Featured Edition

ISBN 10:  303480492X ISBN 13:  9783034804929
Publisher: Birkhäuser, 2012
Softcover