图书简介

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.

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