Geometry of Curves
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 limacons, 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.
- Paperback | 384 pages
- 156 x 238.3 x 20.6mm | 597.18g
- 23 Feb 2000
- Taylor & Francis Inc
- Chapman & Hall/CRC
- Boca Raton, FL, United States
Other books in this series
01 Dec 2015
20 Feb 2001
17 Apr 2014
31 Oct 1974
Table of contents
Lines, Circles and Conics
Conics: General Position
Some Higher Algebraic and Transcendental Curves
Parameters, Tangents, Normals. Contact, Inflexions
Cusps, Non-Regular Points
Circle of Curvature
Singular Points of Algebraic Curves