ISBN-10:
1584881666
ISBN-13:
9781584881667
Pub. Date:
02/28/2000
Publisher:
Taylor & Francis
Geometry of Curves / Edition 1

Geometry of Curves / Edition 1

by J.W. Rutter, J. W. Rutter

Paperback

Current price is , Original price is $105.0. You
Select a Purchase Option
  • purchase options
    $93.97 $105.00 Save 11% Current price is $93.97, Original price is $105. You Save 11%.
  • purchase options

Overview

Geometry of Curves / Edition 1

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 limaçons, 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.

Product Details

ISBN-13: 9781584881667
Publisher: Taylor & Francis
Publication date: 02/28/2000
Series: Chapman Hall/CRC Mathematics Series , #17
Pages: 384
Product dimensions: 6.25(w) x 9.25(h) x 0.90(d)

Table of Contents

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

Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews