Exploring Geometry
eBook - ePub

Exploring Geometry

  1. 538 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Exploring Geometry

About this book

Exploring Geometry, Second Edition 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.

Features:

  • Second edition of a successful textbook for the first undergraduate course
  • Every major concept is introduced in its historical context and connects the idea with real life
  • Focuses on experimentation
  • Projects help enhance student learning
  • All major software programs can be used; free software from author

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Yes, you can access Exploring Geometry by Michael Hvidsten in PDF and/or ePUB format, as well as other popular books in Mathematics & Games in Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Table of Contents
  5. Preface to the Second Edition
  6. Acknowledgments
  7. CHAPTER 1 Geometry and the Axiomatic Method
  8. CHAPTER 2 Euclidean Geometry
  9. CHAPTER 3 Analytic Geometry
  10. CHAPTER 4 Constructions
  11. CHAPTER 5 Transformational Geometry
  12. CHAPTER 6 Symmetry
  13. CHAPTER 7 Hyperbolic Geometry
  14. CHAPTER 8 Elliptic Geometry
  15. CHAPTER 9 Projective Geometry
  16. CHAPTER 10 Fractal Geometry
  17. APPENDIX A A Primer on Proofs
  18. APPENDIX B Book I of Euclid’s Elements
  19. APPENDIX C Birkhoff’s Axioms
  20. APPENDIX D Hilbert’s Axioms
  21. APPENDIX E Wallpaper Groups
  22. References
  23. Index