ENGLISH

Elementary geometry of algebraic curves

By C. G. Gibson

Book information

Publisher
Cambridge University Press
Year
1998
ISBN
0521646413
Language
english
Format
DJVU
Filesize
2 MB (1852657 bytes)
Edition
1
Pages
268\268
Library
Kolxo3
DPI
600
Time added
2009-07-20 03:45:11

Description

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.

Similar books