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Elementary Geometry of Algebraic Curves: An Undergraduate Introduction

Elementary Geometry of Algebraic Curves: An Undergraduate Introduction

Hardcover

General MathematicsGeometry

ISBN10: 0521641403
ISBN13: 9780521641401
Publisher: Cambridge University Press
Published: Nov 26 1998
Pages: 268
Weight: 1.24
Height: 0.75 Width: 6.00 Depth: 9.00
Language: English
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.

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