Geometry of Curves by Jw Rutter

Geometry of Curves by Jw Rutter

Interest in the study of geometry is currently enjoying a resurgence-understandably so, as the study of curves was once the playground of some very great mathematicians. However, many of the subject's more exciting aspects require a somewhat advanced mathematics background. For the fun stuff to be accessible, we need to offer students an introduction with modest prerequisites, one that stimulates their interest and focuses on problem solving. Integrating parametric, algebraic, and projective curves into a single text, Geometry of Curves offers students a unique approach that provides a mathematical structure for solving problems, not just a catalog of theorems. The author begins with the basics, then takes students on a fascinating journey from conics, higher algebraic and transcendental curves, through the properties of parametric curves, the classification of lima ons, envelopes, and finally to projective curves, their relationship to algebraic curves, and their application to asymptotes and boundedness. The uniqueness of this treatment lies in its integration of the different types of curves, its use of analytic methods, and its generous number of examples, exercises, and illustrations. The result is a practical text, almost entirely self-contained, that not only imparts a deeper understanding of the theory, but inspires a heightened appreciation of geometry and interest in more advanced studies.

"The examples, richly illustrated, make the book" -D. V. Feldman, University of New Hampshire, in CHOICE, March 2001

SKU	Unavailable
ISBN 13	9781584881667
ISBN 10	1584881666
Title	Geometry of Curves
Author	Jw Rutter
Series	Chapman Hall Crc Mathematics Series
Condition	Unavailable
Binding Type	Paperback
Publisher	Taylor & Francis Inc
Year published	2000-02-23
Number of pages	380
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.