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Original Articles

Holomorphic Maps and Pencils of Circles

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Pages 690-700 | Published online: 31 Jan 2018

REFERENCES

  • H. F. Baker, ed., An Introduction to Plane Geometry, Cambridge University Press, Cambridge, 1943.
  • A. F. Beardon, Curvature, circles, and conformal maps, this Monthly 94 (1987) 48–53.
  • A. F. Beardon and D. Minda, Sphere preserving maps in inversive geometry, Proc. Amer. Math. Soc. 130 (2001) 987–998.
  • M. Berger, ed., Géométrie, vol. 1 and 2, Nathan, Paris, 1990.
  • G. H. Golub and C. F. Van Loan, eds., Matrix Computations, Johns Hopkins University Press, Baltimore, MD, 1996.
  • U. Hertrich-Jeromin, ed., Introduction to Möbius Differential Geometry, London Mathematical Society Lecture Note Series, vol. 300, Cambridge University Press, Cambridge, 2003.
  • J. Jeffers, Lost theorems of geometry, this Monthly 107 (2000) 800–812.
  • D. Minda, Euclidean circles of curvature for geodesics of conformal metrics 1997, in Computational Methods and Function Theory, Proceedings of Nicosia Conference, N. Papamichael, St. Ruscheweyh, and E. B. Staff, eds., World Scientific, Hackensack, NJ, 1999, 397–403.
  • W. Rudin, ed., Real and Complex Analysis, McGraw-Hill, London, 1970.
  • K. Stephenson, Approximation of conformal structure via circle packings, in Computational Methods and Function Theory 1997, Proceedings of the Third CMFT Conference, World Scientific, Hackensack, NJ, 1999, 551–582.
  • K. Stephenson, Circle packing and discrete analytic function theory, in Handbook of Complex Analysis: Geometric Function Theory, vol. 1, R. Kunau, ed., North-Holland, Amsterdam, 2002, 333–370.
  • J. L. Walsh, On the circles of curvature of the images of circles under a conformal map, this Monthly 46 (1939) 472–485.

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