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· 제목 : Geometry from a Differentiable Viewpoint (Hardcover, 2 Revised edition) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 계산
· ISBN : 9780521116077
· 쪽수 : 368쪽
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 계산
· ISBN : 9780521116077
· 쪽수 : 368쪽
목차
Part I. Prelude and Themes: Synthetic Methods and Results: 1. Spherical geometry; 2. Euclid; 3. The theory of parallels; 4. Non-Euclidean geometry; Part II. Development: Differential Geometry: 5. Curves in the plane; 6. Curves in space; 7. Surfaces; 8. Curvature for surfaces; 9. Metric equivalence of surfaces; 10. Geodesics; 11. The Gauss?Bonnet theorem; 12. Constant-curvature surfaces; Part III. Recapitulation and Coda: 13. Abstract surfaces; 14. Modeling the non-Euclidean plane; 15. Epilogue: where from here?
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