CONICS AND CUBICS.: A CONCRETE INTRODUCTION TO ALGEBRAIC CURVES - Couverture rigide

Bix, Robert

Couverture rigide

ISBN 10 : 0387984011 ISBN 13 : 9780387984018

Editeur : Springer-Verlag New York Inc., 1998

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 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.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 1998
• Langue: anglais
• ISBN 10: 0387984011
• ISBN 13: 9780387984018
• Reliure: Relié
• Nombre de pages: 299
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne