CONICS AND CUBICS.: A CONCRETE INTRODUCTION TO ALGEBRAIC CURVES (Undergraduate Texts in Mathematics) - Hardcover

Bix, Robert

 
9780387984018: CONICS AND CUBICS.: A CONCRETE INTRODUCTION TO ALGEBRAIC CURVES (Undergraduate Texts in Mathematics)
Hardcover
ISBN 10: 0387984011 ISBN 13: 9780387984018
Verlag: Springer Verlag, 1998

Inhaltsangabe

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.

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Reseña del editor

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.

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Verlag
Springer Verlag
Erscheinungsdatum
1998
Sprache
Englisch
ISBN 10 
0387984011
ISBN 13 
9780387984018
Einband
Tapa dura
Anzahl der Seiten
299
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Verantwortliche Person
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