Geometry of Curves

ISBN-13: 9781584881667 / Angielski / Miękka / 2000 / 384 str.

John W. Rutter

Opis

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 appreciation of geometry and interest in more advanced studies.

Recenzje

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

Spis treści

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

O autorze

Rutter, J.W.