Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorBix, Robert. author
TitleConics and Cubics [electronic resource] : A Concrete Introduction to Algebraic Curves / by Robert Bix
ImprintNew York, NY : Springer New York : Imprint: Springer, 1998
Connect to
Descript X, 292 p. online resource


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. About the first edition: "The book...belongs in the admirable tradition of laying the foundations of a difficult and potentially abstract subject by means of concrete and accessible examples." - Peter Giblin, MathSciNet


I Intersections of Curves -- II Conics -- III Cubics -- IV Intersection Properties -- References

Mathematics Algebraic geometry Numerical analysis Geometry Mathematics Geometry Algebraic Geometry Numerical Analysis


Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network


facebook   instragram