Experiencing Geometry

ISBN-10: 0131437488
ISBN-13: 9780131437487
Edition: 3rd 2005 (Revised)
List price: $117.80 Buy it from $32.42 Rent it from $15.58
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Description: The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experienceincluding discovery, discussion, writing fundamental ideas and learning about the  More...

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Book details

List price: $117.80
Edition: 3rd
Copyright year: 2005
Publisher: Prentice Hall PTR
Publication date: 7/28/2004
Binding: Paperback
Pages: 432
Size: 7.00" wide x 9.00" long x 0.75" tall
Weight: 1.342
Language: English

The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experienceincluding discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.

Preface
How to Use this Book
Historical Strands of Geometry
What is Straight?
Straightness on Spheres
What Is an Angle?
Straightness on Cylinders and Cones
Straightness on Hyperbolic Planes
Triangles and Congruencies
Area and Holonomy
Parallel Transport
SSS, ASS, SAA, and AAA
Parallel Postulates
Isometries and Patterns
Dissection Theory
Square Roots, Pythagoras and Similar Triangles
Projections of a Sphere onto a Plane
Circles
Inversions in Circles
Projections (Models) of Hyperbolic Planes
Geometric 2-Manifolds
Geometric Solutions of Quadratic and Cubic Equations
Trigonometry and Duality
Mechanisms
3-Spheres and Hyperbolic 3-Spaces
Polyhedra
3-Manifolds-the Shape of Space
Euclid's Definitions, Postulates, and Common Notions
Constructions of Hyperbolic Planes
Bibliography
Index

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