참고문헌 (미분기하학)

학사과정생을 위한 책들

• E. Bloch, A first Course in Geometric Topology and Differential Geometry, Birkhäuser, 1997.
• J. Casey, Exploring Curvature, vieweg, 1996. ☆☆☆
• Do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall Inc., 1976.
• D. Henderson, Differential Geometry: A Geometric Introduction, Prentice Hall, 1998.
• M. Henle, Modern Geometries, Prentice Hall, 1997. ☆☆☆
• W. Klingenberg, A course in Differential Geometry, Springer-Verlag, 1978.
• S. Kobayashi: 쇼시치 고바야시 지음, 김병학 옮김, 곡선과 곡면의 미분기하학, 청문각, 1998/1999.
• J. McCleary, Geometry from a Differentiable Viewpoint, Cambridge, 1994.
• R. Millman, G. Parker, Elements of Differential Geometry, Prentice Hall, 1977.
• O'Neil, Elementary Differential Geometry, Academic Press, 2nd ed., 1997.
• J. Oprea, Differential Geometry and its applications, Prentice Hall, 1997.
• A. Ostermann, G. Wanner, Geometry by Its History, Springer, 2012. ☆☆☆
• A. Pressley, Elementary Differential Geometry, 2nd ed., Springer, 2010. (앤드류 프레슬리 지음, 전재복, 채영도, 김병학 옮김, 미분기하학 입문, 경문사, 2009)
• M. Spivak, A Comprehensive Introduction to Differential Geometry, Vol. II.
• K. Ueno, K. Shiga, S. Morita, A Mathematical Gift, I : The interplay between topology, functions, geometry, and algebra, Amer. Math. Soc., 2003. (Originally published in Japanese in1995 by Iwanami Shoten)
• G. A. Venema, Foundations of Geometry, 2nd ed., Pearson Education, Inc., 2006, 2012. ☆☆☆
• J. Weeks, The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds, Second Edition, Marcel Dekker, Inc., New York and Basel, 1985, 2002. ☆☆☆

고전

• D. Hilbert & S. Cohn-Vossen, Geometry and the Imagination, Chelsea Publ. Co., 1952.
• H. Hopf, Differential Geometry in the large, Lecture Notes in Math. Vol. 1000, Springer-Verlag.
• P. Dombrowski, 150 years after Gauss' <disquisitiones generales circa superficies curvas>, asterisque 62, 1979.

• M. do Carmo, Differential Forms and Applications, Springer, 1994.
• H. Flanders, Differential Forms with Applications to the Physical Sciences, Dover, 1963,1989.

더욱 호기심이 많은 학생을 위한 책들

• Berger & Gostiaux, Differential Geometry: Manifolds, Curves, and Surfaces, Springer-Verlag, 1988.
• Chern, Lect. Notes, Chicago 대학
• Chern, Global Analysis and Geometry , MAA
• Spivak, A Comprehensive Introduction to DIFFERENTIAL GEOMETRY, Vol. 2

리만 기하학

• M. Berger, A panoramic view of Riemannian Geometry, Springer-Verlag, 2003, ISBN 3-540-65317-1 ☆☆☆
• M. Berger, Riemannian Geometry During the Second Half of the Twentieth Century, Amer. Math. Soc., 2000.
• P. Petersen, Riemannian Geometry, Springer, 1998.

기타

• Special Geometry Issue, The American Mathematical Monthly, vol. 97, no.8 (Oct., 1990), Mathematical Association of America.
• M. Berger, Geometry Revealed, Springer, 2010. ☆☆☆
• E. Kreyszig, Differential Geometry, Dover, 1963, 1991.
• C. Lanczos, Space Through the Ages: The evolution of geometric ideas from Pythagoras to Hilbert and Einstein, Academic Press (1970).
• R. Osserman, Poetry of the Universe: A Mathematical Exploration of the Cosmos, Anchor Books, 1995. ☆☆☆
• J. J. Stoker, Differential Geometry, John Wiley & Sons, Inc., 1969.
• D. Struik, Lectures on Classical Differential Geometry, Dover, 1961, 1988.
• I. Singer & J. Thorpe, Lecture Notes on Elementary Topology and Geometry, Scott, Foresman and Company, 1967.
• J. Thorpe, Elementary Topics in Differential Geometry, Springer-Verlag, 1979; 전재복, 채영도, 김병학 공역, 미분기하학, 喜重堂, 1997.
• S. T. Yau, S. Nadis, The Shape of Inner Space: String Theory and the Geometry of the Universe's Hidden Dimensions, Basic Books, 2010. (Book Review by N. Hitchin, Notices of Amer. Math. Soc., 2011) (cf. Peter Woit, Not Even Wrong)