Thinking geometrically a survey of geometries / [electronic resource] :
Thomas Q. Sibley, St. John's University.
- xxiii, 559 pages : illustrations.
- MAA textbooks .
- MAA textbooks. .
Appendices: pages 491-514.
Includes bibliographical references and index.
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 -- A. Definitions, Postulates, Common Notions, and Propositions from Book I of Euclid's Elements -- B. SMSG Axioms for Euclidean Geometry -- C. Hilbert's Axioms for Euclidean Plane Geometry -- D. Linear Algebra Summary -- E. Multivariable Calculus Summary -- F. Elements of Proofs -- Answers to Selected Exercises.