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English
Chapman & Hall/CRC
23 February 2000
"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."

By:  
Imprint:   Chapman & Hall/CRC
Country of Publication:   United States
Volume:   17
Dimensions:   Height: 234mm,  Width: 156mm,  Spine: 21mm
Weight:   710g
ISBN:   9781584881667
ISBN 10:   1584881666
Series:   Chapman Hall/CRC Mathematics Series
Pages:   380
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Professional & Vocational ,  Primary ,  Further / Higher Education
Format:   Paperback
Publisher's Status:   Active

Rutter, J.W.

Reviews for Geometry of Curves

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


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