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| Title: | Math and art : an introduction to visual mathematics / |
|---|---|
| Database Name: | WorldCat |
| All Authors / Contributors: |
Sasho Kalajdzievski; R Padmanabhan |
| ISBN: | 9781584889137 (alk. paper); 1584889136 (alk. paper) |
| Notes: | "A Chapman & Hall book." Includes index. Color figures and six animations on CD-ROM Content: 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. |
| 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. |
| Year: | c2008. |
| Publisher: | Boca Raton : CRC Press, |
| Standard Numbers: | LCCN: 2007046285 |
| Class Descriptors: | LC Class No.: QA445; Dewey No.: 510 |
| More information: | Table of contents only |
| OCLC No.: | 181862598 |
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