Kniha Conics and Cubics Robert Bix

Conics and Cubics

A Concrete Introduction to Algebraic Curves

Autor: Robert Bix
Jazyk: Angličtina
Väzba: Pevná
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
73.28
Conics and Cubics is an accessible introduction to algebraic curves. Its focus on curves of degree a...

Informácie o knihe

Autor
Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2006
Stránok
347
EAN
9780387318028
ISBN
038731802X
Enbook ID
05247788
Hmotnosť
682
Rozmery
283 x 166 x 31

Kompletný popis

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.

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