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Conics and Cubics: A Concrete Introduction to Algebraic by Robert Bix PDF

By Robert Bix

Conics and Cubics is an obtainable creation to algebraic curves. Its specialize in curves of measure at so much 3 retains effects tangible and proofs obvious. Theorems stick with certainly from highschool algebra and key rules, homogeneous coordinates and intersection multiplicities. via classifying irreducible cubics over the genuine numbers and proving that their issues shape abelian teams, the publication offers readers easy accessibility to the learn of elliptic curves. It features a uncomplicated evidence of Bezout's Theorem at the variety of intersections of any curves with out universal components. The booklet is a textual content for a one-semester direction. The path can serve either because the one undergraduate geometry path taken by means of arithmetic majors often and as a sequel to varsity geometry for potential or present academics of secondary institution arithmetic. the single prerequisite is first-year calculus.

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Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics) by Robert Bix

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