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1.

図書
図書
1. Geometry from a differentiable viewpoint (: pbk)
John McCleary
出版情報: Cambridge [England] ; New York : Cambridge University Press, 1994  xii, 308 p. ; 26 cm
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目次情報: 続きを見る
Prelude and themes
Synthetic Methods and Results / Part I：
Spherical geometry / 1：
Euclid / 2：
The theory of parallels / 3：
Non-Euclidean geometry I / 4：
Non-Euclidean geometry II / 5：
Development: Differential Geometry / Part II：
Curves / 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 / 13：
Recapitulation / Part III：
Abstract surfaces / 14：
Modelling non-Euclidean geometry / 15：
Coda: generalizations. / 16：
Prelude and themes
Synthetic Methods and Results / Part I：
Spherical geometry / 1：
2.

図書
図書
2. Lectures on differential geometry
R. Schoen, S.-T. Yau
出版情報: Cambridge, Mass. : International Press, c1994  v, 414 p. ; 24 cm
シリーズ名: Conference proceedings and lecture notes in Geometry and topology ; v. 1
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3.

図書
図書
3. Stability theorems in geometry and analysis
by Yu.G. Reshetnyak
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1994  xi, 394 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 304
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4.

図書
図書
4. Selected papers on number theory, algebraic geometry, and differential geometry
Katsumi Nomizu, editor
出版情報: Providence, R.I. : American Mathematical Society, c1994  ix, 154 p. ; 27 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 160
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目次情報: 続きを見る
On the number-theoretic method in geometry: Geometric analogue of zeta and $L$-functions and its applications / T. Sunada
Fundamental groups and Laplacians
Moonshine: A mysterious relationship between simple groups and automorphic functions / M. Koike
On the theory of mixed Hodge modules / M. Saito
Integral invariants in Kahler geometry / A. Futaki
A convergence theorem for Einstein metrics and the ALE spaces / H. Nakajima
On the topology of elliptic surfaces-a survey / M. Ue
Modular $p$-adic $L$-functions and $p$-adic Hecke algebras / H. Hida
On the number-theoretic method in geometry: Geometric analogue of zeta and $L$-functions and its applications / T. Sunada
Fundamental groups and Laplacians
Moonshine: A mysterious relationship between simple groups and automorphic functions / M. Koike
5.

図書
図書
5. Geometric differentiation : for the intelligence of curves and surfaces
I.R. Porteous
出版情報: Cambridge : Cambridge University Press, 1994  xiii, 301 p. ; 24 cm
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目次情報: 続きを見る
Plane curves / 1：
Linear and projective spaces / 2：
Plane kinematics / 3：
The derivatives of a map / 4：
Curves on the unit sphere / 5：
Space curves / 6：
k-times linear forms / 7：
Probes / 8：
Contact / 9：
Surfaces in R3 / 10：
Ridges and ribs / 11：
Umbilics / 12：
Parabolic lines / 13：
Involutes of geodesic foliations / 14：
The circles of a surfaces / 15：
Examples of surfaces / 16：
References.
Plane curves / 1：
Linear and projective spaces / 2：
Plane kinematics / 3：
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