Elementary Geometry of Algebraic Curves
By addebook • Nov 15th, 2008 • Category: Mathematics
Elementary Geometry of Algebraic Curves
Elementary Geometry of Algebraic Curves
By C. G. Gibson, C.G. Gibson
Publisher: Cambridge University Press
Number Of Pages: 268
Publication Date: 1998-11-01
ISBN-10 / ASIN: 0521646413
ISBN-13 / EAN: 9780521646413
Binding: Hardcover
Here is an introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book is well illustrated and contains several hundred worked examples and exercises. 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 Bezout, while the ideas of linear systems are used to discuss the classical group structure on the cubic.
Summary: Does what it claims
Rating: 4
We used this for a class introducing algebraic geometry. It’s necessary to know linear algebra and multivariable calculus, and very helpful to know groups, rings, and fields. The book keeps it’s feet on the ground (equal distribution of computation and abstraction in problems). Some examples throughout. Very good as an introduction.
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