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Conics and Cubics on Hardback by Robert Bix
Conics and Cubics on Hardback by Robert Bix
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Conics and Cubics

A Concrete Introduction to Algebraic Curves
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Description

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 two curves. The book is a text for a one-semester course. The course can serve either as the one undergraduate geometry course taken by mathematics majors in general or as a sequel to college geometry for prospective or current teachers of secondary school mathematics. The only prerequisite is first-year calculus. The new edition additionally discusses the use of power series to parametrize curves and analyze intersection multiplicities and envelopes.
Release date NZ
July 24th, 2006
Author
Audience
  • Undergraduate
Edition
2nd ed. 2006
Illustrations
VIII, 347 p.
Pages
347
Dimensions
156x234x20
ISBN-13
9780387318028
Product ID
2697099

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