Handbook and Atlas of Curves: 1st Edition (Hardback) book cover

Handbook and Atlas of Curves

1st Edition

By Eugene V. Shikin

CRC Press

560 pages

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Hardback: 9780849389634
pub: 1995-04-27
$255.00
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pub: 2014-07-22
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Description

The Handbook and Atlas of Curves describes available analytic and visual properties of plane and spatial curves. Information is presented in a unique format, with one half of the book detailing investigation tools and the other devoted to the Atlas of Plane Curves. Main definitions, formulas, and facts from curve theory (plane and spatial) are discussed in depth. They comprise the necessary apparatus for examining curves.

An important and original part of the book is the Atlas, consisting of nearly 200 plane curve classes, more than 700 figures, and nearly 2,000 drawings of specific curves. The classes have been scrupulously chosen for their interesting and useful properties. The dynamics of each class is visually represented by a series of specially arranged precise drawings showing the qualitative change of a curve's behavior as the parameters defining the class vary.

The book provides numerous application examples, descriptions of mechanisms for drawing various curves, and discussions of geometric spline possibilities. It includes more than 20 various geometric and linguistic indices and an update on world literature on curve theory. The Handbook and Atlas of Curves will be an invaluable reference for researchers, practitioners, students, and amatuers of mathematics.

Table of Contents

Introduction

Plane Curves

Main Definitions and Facts

Some General Classes of Plane Curves

Atlas of Plane Curves

Structure of the Atlas

Atlas of Curves

Geometric Indices for Atlas of Curves

Space Curves

Main Defintions and Facts

Some Classes of Space Curves

Applications of Curves

Dynamic Properties of Plane Curves

Plane Curves and Mechanisms

Geometric Splines

Appendices

Smooth Functions of One and Two Variables

Vector Functions of Scalar Argument

Coordinate Systems. Coordinate Transformations

Search of Some Geometric Characteristics

Greek Roots of Names for Some Curves

English-German-French Indices

Bibliography

Index of Terms

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT012000
MATHEMATICS / Geometry / General