Conics And Cubics: A Concrete Introduction to Algebraic Curves - Couverture rigide

Bix, Robert

Couverture rigide

ISBN 10 : 038731802X ISBN 13 : 9780387318028

Editeur : Springer-Verlag New York Inc., 2006

Synopsis

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.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2006
• Langue: anglais
• ISBN 10: 038731802X
• ISBN 13: 9780387318028
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 347
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Allemagne