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Conics and Cubics

Bag om Conics and Cubics

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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  • Sprog:
  • Engelsk
  • ISBN:
  • 9781441921789
  • Indbinding:
  • Paperback
  • Sideantal:
  • 356
  • Udgivet:
  • 25. november 2010
  • Udgave:
  • 10002
  • Størrelse:
  • 155x20x235 mm.
  • Vægt:
  • 540 g.
  • 8-11 hverdage.
  • 16. december 2024
På lager
Forlænget returret til d. 31. januar 2025

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Beskrivelse af Conics and Cubics

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.

Brugerbedømmelser af Conics and Cubics