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Math and Art: An Introduction to Visual Mathematics
     

Math and Art: An Introduction to Visual Mathematics

by Sasho Kalajdzievski
 

ISBN-10: 1584889136

ISBN-13: 9781584889137

Pub. Date: 06/24/2008

Publisher: Taylor & Francis

Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With a CD-ROM and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics

Overview

Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With a CD-ROM and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art.

Basic Math Topics and Their Visual Aspects

Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions.

Comprehensive Material for a Math in Art Course

Providing all of the material for a complete one-semester course on mathematics in art, this self-contained text shows how artistic practice with mathematics and a comprehension of mathematical concepts are needed to logically and creatively appreciate the field of mathematics.

Product Details

ISBN-13:
9781584889137
Publisher:
Taylor & Francis
Publication date:
06/24/2008
Edition description:
New Edition
Pages:
272
Product dimensions:
7.00(w) x 9.90(h) x 0.80(d)

Table of Contents

Introduction
Euclidean Geometry
The Five Axioms of Euclidean Geometry
Ruler and Compass Constructions
The Golden Ratio
Fibonacci Numbers
Plane Transformations
Plane Symmetries
Plane Symmetries, Vectors, and Matrices
Groups of Symmetries of Planar Objects
Frieze Patterns
Wallpaper Designs and Tiling of the Plane
Tilings and Art
Similarities, Fractals, and Cellular Automata
Similarities and Some Other Planar Transformations
Complex Numbers
Fractals: Definition and Some Examples
Julia Sets
Cellular Automata
Hyperbolic Geometry
Non-Euclidean Geometries: Background and Some History
Inversion
Hyperbolic Geometry
Some Basic Constructions in the Poincaré Model
Tilings of the Hyperbolic Plane
Perspective and Some Three-Dimensional Objects
Perspective
The Mathematics of Perspective Drawing: A Brief Overview
Regular and Other Polyhedra
Sphere, Cylinder, Cone, and Conic Sections
Geometry, Tilings, Fractals, and Cellular Automata in Three Dimensions
Topology
Homotopy of Spaces: An Informal Introduction
Two-Manifolds and the Euler Characteristic
Nonorientable Two-Manifolds and Three-Manifolds
Index

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