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Anderson, J.W. Hyperbolic Geometry, 2nd Ed. Springer, London, 2005.
Boas, R.P. Invitation to Complex Analysis. Random House, New York, 1987.
Coxeter, H.S.M. Introduction to Geometry, 2nd Ed. Wiley, New York, 1961.
Heath, T.L. The Thirteen Books of Euclid's Elements, 2nd Ed. Dover, New York, 1956.
Henle, M. Modern Geometries: The Analytic Approach. Prentice Hall, New Jersey, 1997.
Hilbert, D., and H. Cohn-Vossen, Geometry and the Imagination. AMS Chelsea Publishing, Rhode Island, 1952.
Jennings, G.A. Modern Geometry with Applications. Springer, 1998.
Schwerdtfeger, H. Geometry of Complex Numbers. Dover, New York, 1979.
Sieradski, A.J. An Introduction to Topology and Homotopy. PWS-KENT Publishing Company, Boston, 1992.
Stillwell, J. Geometry on Surfaces. Springer, New York, 1992.
Thurston, W.P. Three-Dimensional Geometry and Topology, Vol. I. Princeton, New Jersey, 1997.
Weeks, J.R.The Shape of Space, 2nd Ed.. Dekker, New York, 2002.

Other Books

Gray J., ed. The Symbolic Universe: Geometry and Physics 1890-1930. Ofxord University Press, New York, 1999.
Hogan, C.J. The Little Book of the Big Bang. Copernicus Springer-Verlag, New York, 1998.
Rucker, R. Geometry, Relativity and the 4th Dimension. Dover, New York, 1977.


Adams, C. and J. Shapiro. The Shape of the Universe: Ten Possibilities. American Scientist, Sept - Oct 2001, 89, 443–453.
Ade, P. A. R. and others. Planck 2015 results. XIII. Cosmological parameters. e-Print: arXiv:1502.01589v3 [astro-ph.CO], 2016.
Bahcall, N., J. Ostriker, S. Perlmutter, and P. Steinhardt. The Cosmic Triangle: Revealing the State of the Universe. Science, 1999, 284 no. 5419, 1481–1488.
Cornish, N.J., D.N. Spergel, G.D. Starkman, and E. Komatsu. Constraining the Topology of the Universe. Physical Review Letters, (2004), 92 no. 20, 1302.
Foote, R. L. A Unified Pythagorean Theorem in Euclidean, Spherical, and Hyperbolic Geometries. Math. Magazine, February 2017 90 no. 1, 59–69.
Hinshaw, G. and others. Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results. e-Print: arXiv:0803.0732, 2008.
Hinshaw, G. and others. Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results. eThe Astrophysical Journal: Supplement Series, 2013.
Levin, J. Topology and the Cosmic Microwave Background. Phys. Rep., 2002, 365, 251–333.
Luminet, J.-P. and M. Lachieze-Rey. Cosmic Topology. Phys. Rep., (1995), 254, 135–214.
Luminet, J.-P., J.R. Weeks, A. Riazuelo, R. Lehoucq, R., and J.-P. Uzan. Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background. Nature, (2003), 425, 593–95.
Rebouças, M.J., and G.I. Gomero. Cosmic Topology: A Brief Overview. Phys. Rep., December, 2004, 34 no. 4A, 1358–1366.
Schwarzschild, K. On the Permissible Curvature of Space. Vierteljahrschrift d. Astronom. Gesellschaft, (1900), 35, 337–47.
Uzan, J.-P., R. Lehoucq, and J.-P. Luminet. New developments in the search for the topology of the Universe. Nuclear Physics B Proceedings Supplements, January 2000, 80, C425+.

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