Thinking Geometrically: A Survey of Geometries

✍ Scribed by Thomas Q. Sibley

• Year: 2015
• Tongue: English
• Leaves: 586
• Category: Library

✦ Table of Contents

Content: 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
Appendix A. Definitions, postulates, common notions, and propositions from Book I of Euclid's Elements
Appendix B. SMSG axioms for Euclidean geometry
Appendix C. Hilbert's axioms for Euclidean plane geometry
Appendix D. Linear algebra summary
Appendix E. Multivariable calculus summary
Appendix F. Elements of proofs
Answers to selected exercises
Acknowledgements
Index.

✦ Subjects

Geometry