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Math and art : an introduction to visual mathematics

Author: Sasho Kalajdzievski; R Padmanabhan
Publisher: Boca Raton : CRC Press, ©2008.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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." "The book stresses an understanding of the  Read more...
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Genre/Form: Einführung
Additional Physical Format: Online version:
Kalajdzievski, Sasho.
Math and art.
Boca Raton : CRC Press, c2008
(OCoLC)624583239
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Sasho Kalajdzievski; R Padmanabhan
ISBN: 9781584889137 1584889136
OCLC Number: 181862598
Notes: "A Chapman & Hall book."
Includes index.
Color figures and six animations on CD-ROM.
Description: xv, 254 p., [16] p. of plates : ill. (some col.) ; 26 cm. + 1 CD-ROM.
Contents: 1. Euclidean geometry : The five axioms of Euclidean geometry ; Ruler and compass constructions ; The golden ratio ; Fibonacci numbers --
2. Plane transformations : Plane symmetries ; Plane symmetries, vectors, and matrices (optional) ; Groups of symmetries of planar objects ; Frieze patterns ; Wallpaper designs and tilings of the plane ; Tilings and art --
3. Similarities, fractals, and cellular automata : Similarities and some other planar transformations ; Complex numbers (optional) ; Fractals: definition and some examples ; Julia sets ; Cellular automata --
4. Hyperbolic geometry : Non-Euclidean geometries: background and some history ; Inversion ; Hyperbolic geometry ; Some basic constructions in the Poincaré model ; Tilings of the hyperbolic plane --
5. Perspective and some three-dimensional objects : Perspective ; Mathematics of perspective drawing: a brief overview (optional) ; Regular and other polyhedra ; Sphere, cylinder, cone, and conic sections ; Geometry, tilings, Fractals, and cellular automata in three dimensions --
6. Topology : Homotopy of spaces: an informal introduction ; Two-manifolds and the Euler characteristic ; Non-orientable two-manifolds and three-manifolds.
Responsibility: Sasho Kalajdzievski ; in collaboration with R. Padmanabhan.
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Abstract:

Explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. This title includes numerous illustrations, computer-generated graphics,  Read more...

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schema:reviewBody""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." "The book stresses an understanding of the mathematical background or relatively complicated yet intriguing visual objects. It also presents various elegant mathematical theories and notions. This text shows how artistic practice with mathematics and a comprehension of mathematical concepts are needed to logically and creatively appreciate the field of mathematics."--BOOK JACKET."
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