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

Name: Symmetry, Shape, and Space An Introduction to Mathematics Through Geometry
Price: 7.12 USD
Availability: InStock
ISBN: 9780470412381

ISBN-10: 0470412380

ISBN-13: 9780470412381

Edition: 2002

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

List price: $152.95

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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…

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: 2.2
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


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