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Thinking Geometrically
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Table of Contents

  • Preface
  • 1. Euclidean Geometry
  • 2. Axiomatic Systems
  • 3. Analytic Geometry
  • 4. Non-Euclidean Geometries
  • 5. Transformational Geometry
  • 6. Symmetry
  • 7. Projective Geometry
  • 8. Finite Geometries
  • 9. Differential Geometry
  • 10. Discrete Geometry
  • 11. Epilogue
  • Appendices A-F
  • Answers to Selected Exercises
  • Acknowledgements
  • Index

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A self-contained, comprehensive survey of college geometry that serves a variety of courses for students of mathematics and mathematics education.

About the Author

Thomas Q. Sibley is a Professor of Mathematics at Saint John's University, Minnesota. He has taught mathematics in the Democratic Republic of the Congo and Liberia as well as in the USA, and has received several teaching awards, including the Distinguished Teaching Award from the MAA, North Central Section (2003). He is a member of the American Mathematical Society, the Association for Women in Mathematics, the Society for Mathematical Biology, and the Council for Undergraduate Research.

Reviews

This also visually very appealing book offers a wealth of geometric information together with the historical background. The author takes the reader onto a long and engrossing journey to 11 well-selected basic sites of classical and modern geometry. Geometric intuition and facility in proofs are developed. Visualization by the use of dynamic geometry software is included in many exercises and projects." - Zentrallblatt

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