Geometry of Curves
|von John W. Rutter|
From Book News, Inc. This textbook for a first semester course integrates the three main areas of curve geometry--parametric, algebraic, and projective curves--offering a unique approach to problem solving rather than a catalog of theorems. Rutter (U. of Liverpool) begins with the basics, then covers topics such as conics, high algebraic curves, transcendental curves, the properties of parametric curves, envelopes of curve families, and the application of projective curves to asymptotes and boundedness. Students should be familiar with elementary calculus including partial differentiation, the elementary theory of complex numbers, and elementary coordinate geometry.Book News, Inc.®, Portland, OR
Synopsis Integrating the three main areas of curve geometry - parametric, algebraic and projective curves - this volume offers an approach that provides a mathematical structure for solving problems, not just a catalogue of theorems. Almost entirely self-contained, the volume integrates the different types of curves, its use of analytic methods, and its examples, exercises and illustrations. The result is a practical work that seeks to impart a deeper understanding of the theory, as well as a heightened...