Exploring Geometry, 2nd Edition

Book Description

This text promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed.

Table of Contents

CHAPTER 1 Geometry and the Axiomatic Method
CHAPTER 2 Euclidean Geometry
CHAPTER 3 Analytic Geometry
CHAPTER 4 Constructions
CHAPTER 5 Transformational Geometry
CHAPTER 6 Symmetry
CHAPTER 7 Hyperbolic Geometry
CHAPTER 8 Elliptic Geometry
CHAPTER 9 Projective Geometry
Chapter 10 Fractal Geometry
APPENDIX A: A Primer on Proofs
APPENDIX B: Book I of Euclid’s
APPENDIX C: Birkhofl’s Axioms
APPENDIX D: Hilbert’s Axioms
APPENDIX E: Wallpaper Groups

Book Details

  • Title: Exploring Geometry, 2nd Edition
  • Author:
  • Length: 558 pages
  • Edition: 2
  • Language: English
  • Publisher:
  • Publication Date: 2016-12-05
  • ISBN-10: 1498760805
  • ISBN-13: 9781498760805
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