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Conics and Cubics Book

Conics and Cubics
Conics and Cubics, Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. 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 ell, Conics and Cubics has a rating of 4 stars
   2 Ratings
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Conics and Cubics, Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. 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 ell, Conics and Cubics
4 out of 5 stars based on 2 reviews
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  • Conics and Cubics
  • Written by author Robert Bix
  • Published by Springer-Verlag New York, LLC, March 2008
  • Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. 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 ell
  • 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, homogeneous coordinates a
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Book Categories

Authors

Preface
IIntersections of Curves1
1Intersections at the Origin4
2Homogeneous Coordinates17
3Intersections in Homogeneous Coordinates31
4Lines and Tangents49
IIConics69
5Conics and Intersections73
6Pascal's Theorem93
7Envelopes110
IIICubics126
8Flexes and Singular Points132
9Addition on Cubics151
10Complex Numbers173
11Bezout's Theorem193
12Hessians209
IVIntersection Properties228
13Independence and Intersections232
14Spanning and Homogeneous Coordinates248
15Determining Cubics266
References285
Index287


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Conics and Cubics, Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. 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 ell, Conics and Cubics

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Conics and Cubics, Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. 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 ell, Conics and Cubics

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Conics and Cubics, Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. 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 ell, Conics and Cubics

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