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(Ebook) Experiencing Geometry 3rd Edition by David W Henderson, Daina Taimina ISBN 0131437488 9780131437487

  • SKU: EBN-10664394
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Authors:David W. Henderson, Daina Taimina
Pages:405 pages.
Year:2004
Editon:3rd Edition
Publisher:Pearson
Language:english
File Size:21.53 MB
Format:pdf
ISBNS:9780131437487, 0131437488
Categories: Ebooks

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(Ebook) Experiencing Geometry 3rd Edition by David W Henderson, Daina Taimina ISBN 0131437488 9780131437487

(Ebook) Experiencing Geometry 3rd Edition by David W Henderson, Daina Taimina - Ebook PDF Instant Download/Delivery: 0131437488, 9780131437487
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ISBN 10: 0131437488 
ISBN 13: 9780131437487
Author: David W Henderson, Daina Taimina

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. ", For junior/senior level course in Geometry. The distinctive approach of Henderson and Taimina's text stimulates students 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 problems (ranging from easy to challenging) encourage students to gather and discuss their reasonings and understanding. This is the only undergraduate text that pays attention to geometric intuition, student cognitive development, and rigorous mathematics; and that includes a broad vision of geometry that leads to discussion of four strands in the history of geometry and to an understanding of the possible shapes of the physical universe., 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.

(Ebook) Experiencing Geometry 3rd Table of contents:

  1. Historical Strands of Geometry

  2. What is Straight?

  3. Straightness on Spheres

  4. What Is an Angle?

  5. Straightness on Cylinders and Cones

  6. Straightness on Hyperbolic Planes

  7. Triangles and Congruencies

  8. Area and Holonomy

  9. Parallel Transport

  10. SSS, ASS, SAA, and AAA

  11. Parallel Postulates

  12. Isometries and Patterns

  13. Dissection Theory

  14. Square Roots, Pythagoras and Similar Triangles

  15. Projections of a Sphere onto a Plane

  16. Circles

  17. Inversions in Circles

  18. Projections (Models) of Hyperbolic Planes

  19. Geometric 2-Manifolds

  20. Geometric Solutions of Quadratic and Cubic Equations

  21. Trigonometry and Duality

  22. Mechanisms

  23. 3-Spheres and Hyperbolic 3-Spaces

  24. Polyhedra

  25. 3-Manifolds—the Shape of Space

  26. Euclid's Definitions, Postulates, and Common Notions

  27. Constructions of Hyperbolic Planes

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Tags: David W Henderson, Daina Taimina, Experiencing, Geometry

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