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Book Categories |
Preface | ||
I | Intersections of Curves | 1 |
1 | Intersections at the Origin | 4 |
2 | Homogeneous Coordinates | 17 |
3 | Intersections in Homogeneous Coordinates | 31 |
4 | Lines and Tangents | 49 |
II | Conics | 69 |
5 | Conics and Intersections | 73 |
6 | Pascal's Theorem | 93 |
7 | Envelopes | 110 |
III | Cubics | 126 |
8 | Flexes and Singular Points | 132 |
9 | Addition on Cubics | 151 |
10 | Complex Numbers | 173 |
11 | Bezout's Theorem | 193 |
12 | Hessians | 209 |
IV | Intersection Properties | 228 |
13 | Independence and Intersections | 232 |
14 | Spanning and Homogeneous Coordinates | 248 |
15 | Determining Cubics | 266 |
References | 285 | |
Index | 287 |
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Add 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 to the inventory that you are selling on WonderClubX
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Add 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 to your collection on WonderClub |