# 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 idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects 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 Elements

APPENDIX C: Birkhofl’s Axioms

APPENDIX D: Hilbert’s Axioms

APPENDIX E: Wallpaper Groups

## Book Details

- Title: Exploring Geometry, 2nd Edition
- Author: Michael Hvidsten
- Length: 558 pages
- Edition: 2
- Language: English
- Publisher: Chapman and Hall/CRC
- Publication Date: 2016-12-05
- ISBN-10: 1498760805
- ISBN-13: 9781498760805

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