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  E-mail Message: I thought you might be interested in this item at http://www.worldcat.org/oclc/72069141 Title: Conics and cubics : a concrete introduction to algebraic curves Author: Robert Bix Publisher: New York : Springer, ©2006. ISBN/ISSN: 9780387318028 038731802X 9781441921789 1441921788 9780387392738 0387392734 OCLC:72069141

  
  

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Conics and cubics : a concrete introduction to algebraic curves

Author:	Robert Bix
Publisher:	New York : Springer, ©2006.
Series:	Undergraduate texts in mathematics.
Edition/Format:	Print book : English : 2nd edView all editions and formats
Summary:	"Conics and Cubics is an accessible introduction to algebraic curves. Its focus on curves of degree at most three keeps results tangible and proofs transparent. Theorems follow naturally from high school algebra and two key ideas: homogenous coordinates and intersection multiplicities. By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezout's Theorem on the number of intersections of two curves. The book is a text for a one-semester course on algebraic curves for junior-senior mathematics majors. The only prerequisite is first-year calculus. The new edition introduces the deeper study of curves through parametrization by power series. Two uses of parametrizations are presented: counting multiple intersections of curves and proving the duality of curves and their envelopes."--Publisher's website.  Read more...
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Subjects	Curves, Algebraic. Courbes algébriques. Algebraïsche krommen. View all subjects
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