Experiencing Geometry

Name: Experiencing Geometry
Price: 26.7 USD
Availability: InStock
ISBN: 9780131437487

ISBN-10: 0131437488

ISBN-13: 9780131437487

Edition: 3rd 2005 (Revised)

Authors: David W. Henderson, Daina Taimina

List price: $119.99

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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 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…

Book details

List price: $119.99
Edition: 3rd
Copyright year: 2005
Publisher: Prentice Hall PTR
Publication date: 7/13/2019
Binding: Paperback
Pages: 432
Size: 7.00" wide x 9.00" long x 0.75" tall
Weight: 1.342
Language: English



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