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 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 any two curves without common factors. The book is a text for a one-semester course. The course can serve both as the one undergraduate geometry course taken by mathematics majors in general and as a sequel to college geometry for prospective or current teachers of secondary school mathematics. The only prerequisite is first-year calculus.
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Descripción Springer. Hardcover. Estado de conservación: New. 0387984011 New Condition. Nº de ref. de la librería NEW6.1126681
Descripción Springer, 1998. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110387984011
Descripción Springer, 1998. Hardcover. Estado de conservación: New. 1. This item is printed on demand. Nº de ref. de la librería DADAX0387984011