Symmetry, Shape, and Space An Introduction to Mathematics Through Geometry

ISBN-10: 0470412380

ISBN-13: 9780470412381

Edition: 2002

Authors: L. Christine Kinsey, Teresa E. Moore, Kinsey

List price: $152.95 Buy it from $26.01
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Description:

Symmetry, Shape, and Space uses the visual nature of geometry to involve readers in discovering mathematics. The text allows readers to study and analyze patterns for themselves, which in turn teaches creativity, as well as analytical and visualization skills. Varied content, activities, and examples lead readers into an investigative process and provide the experience of doing and discovering mathematics as mathematicians do. Exercises requiring readers to express their ideas in writing and to create drawings or physical models make math a hands-on experience. Assuming no mathematics beyond the high school level, Symmetry, Shape, and Space is the perfect introduction to mathematics, and it is designed so that each chapter is independent of the others, allowing great flexibility.
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Book details

List price: $152.95
Copyright year: 2002
Publisher: John Wiley & Sons, Incorporated
Publication date: 6/16/2008
Binding: Hardcover
Pages: 494
Size: 7.50" wide x 9.50" long x 1.00" tall
Weight: 2.486
Language: English

Preface
To the Reader
The Basics
Measurement
Polygons
Grids
Billiards
Celtic Knots
Constructions
Ruler and Compass Constructions
The Pentagon and the Golden Ratio
Theoretical Origami
Knots and Stars
Linkages
Tesselations
Regular and Semiregular Tilings
Irregular Tilings
Penrose Tilings
Two-Dimensional Symmetry
Kaleidoscopes
Rosette Groups: Point Symmetry
Frieze Patterns: Line Symmetry
Wallpaper Patterns: Plane Symmetry
Islamic Lattice Patterns
Other Dimensions, Other Worlds
Flatlands
The Fourth Dimension
Polyhedra
Pyramids, Prisms, and Antiprisms
The Platonic Solids
The Archimedean Solids
Polyhedral Transformations
Models of Polyhedra
Infinite Polyhedra
Three-Dimensional Symmetry
Symmetries of Polyhedra
Three-Dimensional Kaleidoscopes
Spiral Growth
Spirals and Helices
Fibonacci Numbers and Phyllotaxis
Drawing Three Dimensions in Two
Perspective
Optical Illusions
Shape
Noneuclidean Geometry
Map Projections
Curvature of Curves
Curvature of Surfaces
Soap Bubbles
Graph Theory
Graphs
Trees
Mazes
Topology
Dimension
Surfaces
More About Surfaces
Map Coloring Problems
Hints and Solutions to Selected Problems
Bibliography
Index
Permissions
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