Experiencing Geometry: Euclidean and Non-Euclidean with History

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Pearson Prentice Hall, 2005 - Mathematics - 392 pages
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The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience—including 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.

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Contents

Historical Strands
1
What Is Straight?
9
Straightness on Spheres
25
Copyright

24 other sections not shown

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About the author (2005)

Dr. David W. Henderson is a senior pastor in West Lafayette, Indiana, and a regular contributor to Discipleship Journal. He has served widely as a conference and chapel speaker in the United States and overseas.

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