380 Pages
by Chapman & Hall

384 Pages
by Chapman & Hall

384 Pages
by Chapman & Hall

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... Read more
Preliminaries
Lines, Circles and Conics
Conics: General Position
Some Higher Algebraic and Transcendental Curves
Parameters, Tangents, Normals. Contact, Inflexions
Undulations
Cusps, Non-Regular Points
Curvature
Curvature Applications
Circle of Curvature
Limacons
Evolutes
Parallels, Involutes
Roulettes
Envelopes
Singular Points of Algebraic Curves
Projective Curves

Biography

Rutter, J.W.

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