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Elementary Geometry of Algebraic Curves: An Undergraduate Introduction (Softcover)

Elementary Geometry of Algebraic Curves: An Undergraduate Introduction (Softcover)

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VERY GOOD: This book is in very good condition, showing only the slightest signs of use and wear.

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Continued from the back cover: "the book is well illustrated, and contains several hundred worked examples and exercises, making it suitable for adoption as a course text. From the familiar lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bézout, whilst the ideas of linear systems are unsed to discuss the classical group structures on the cubic."Chapters
  1. Real Algebraic Curves
  2. General Ground Fields
  3. Polynomial Algebra
  4. Affine Equivalence
  5. Affine Conics
  6. Singularities of Affine Curves
  7. Tangents to Affine Curves
  8. Rational Affine Curves
  9. Projective Algebraic Curves
  10. Singularities of Projective Curves
  11. Projective Equivalence
  12. Projective Tangents
  13. Flexes
  14. Intersections of Projective Curves
  15. Projective Cubics
  16. Linear Systems
  17. The Group Structure on a Cubic
  18. Rational Projective Curves
The book concludes with an Index.
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AUTHOR: Gibson;Christopher G.
PUBLISHER: Cambridge University Press
ISBN-13: 9780521646413
ISBN-10: 0521646413
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Elementary Geometry of Algebraic Curves: An Undergraduate Introduction (Softcover)
Elementary Geometry of Algebraic Curves: An Undergraduate Introduction (Softcover)2668
Elementary Geometry of Algebraic Curves: An Undergraduate Introduction (Softcover)2668
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