Bibliography for the Poincare Disk

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  1. Henri Poincaré, His Conjecture, Copacabana and Higher Dimensions
    Graham P. Collins
    Scientific American, June 09, 2004
  2. Two-point correlation functions of scaling fields in the Dirac theory on the Poincare disk
    Doyon B.
    Nuclear Physics B, 29 December 2003, vol. 675, no. 3, pp. 607-630(24), Ingenta.  
  3. Extended-geostrophic Euler-Poincaré models for mesoscale oceanographic flow.
    Allen, J. S.; Holm, Darryl D.; Newberger, P. A.
    Large-scale atmosphere-ocean dynamics, Vol. I, 101--125, Cambridge Univ. Press, Cambridge, 2002, MathSciNet.  
  4. Compass and Straightedge in the Poincaré Disk  
    Chaim Goodman-Strauss
    Amer. Math. Monthly 108 (2001), no. 1, 38--49, Jstor.  
  5. Hyperbolic Trigonometry and its Application in the Poincare Ball Model of Hyperbolic Geometry
    Ungar A.A.
    Computers and Mathematics with Applications, January 2000, vol. 41, no. 1, pp. 135-147(13), Ingenta.  
  6. The Hyperbolic Pythagorean Theorem in the Poincare Disc Model of Hyperbolic Geometry  
    Abraham A. Ungar
    The American Mathematical Monthly, Vol. 106, No. 8 (Oct., 1999), pp. 759-763, Jstor.    
  7. A Poincare-Covariant Parton Cascade Model for Ultrarelativistic Heavy-Ion Reactions
    Borchers V.; Gieseke S.; Martens G.; Meyer J.; Noack C.C.
    Nuclear Physics A, 27 December 1999, vol. 661, no. 1999, pp. 587c-591c(5), Ingenta.  
  8. Hyperbolic geometry: an introduction using calculus and complex variables. (Spanish)
    Muciño-Raymundo, Jesús
    Fourth Summer School on Geometry and Dynamical Systems (Spanish) (Guanajuato, 1997), 165--196, Aportaciones Mat. Comun., 21, Soc. Mat. Mexicana, México, 1998, MathSciNet.  
  9. Thales Meets Poincare  
    David E. Dobbs  
    Mathematics Magazine, Vol. 70, No. 3 (Jun., 1997), pp. 185-195, Jstor.   
  10. Sources of hyperbolic geometry.
    Stillwell, John
    History of Mathematics, 10. American Mathematical Society, Providence, RI; London Mathematical Society, London, 1996. x+153 pp., MathSciNet.  
  11. Graphs with prescribed mean curvature on Poincaré disk.
    Duong Minh Duc; Nguyen Van Hieu
    Bull. London Math. Soc. 27 (1995), no. 4, 353--358, MathSciNet.  
  12. Investigating Circles in the Poincare Disk Using Geometer's Sketchpad  
    Bill Juraschek  
    The College Mathematics Journal, Vol. 25, No. 2 (Mar., 1994), pp. 145-154, Jstor.   
  13. How Hyperbolic Geometry Became Respectable   
    Abe Shenitzer
    The American Mathematical Monthly, Vol. 101, No. 5 (May, 1994), pp. 464-470, Jstor.  
  14. The geometry of Poincaré disks.
    Stanoyevitch, Alexander; Stegenga, David A.
    Complex Variables Theory Appl. 24 (1994), no. 3-4, 249--265, MathSciNet.  
  15. Hyperbolic geometry on a hyperboloid
    Reynolds, William F.
    Amer. Math. Monthly 100 (1993), no. 5, 442--455, Jstor.
  16. An empirical exploration of the Poincaré model for hyperbolic geometry  
    Austin, Joe Dan; Castellanos, Joel; Darnell, Ervan; Estrada, Maria
    Math. Comput. Ed. 27 (1993), no. 1, 51--68, MathSciNet.  
  17. Interesting property of the Poincare sphere
    De Smet, D.J.  
    Applied Physics Communications, v 11, n 2-3, Jun-Sep, 1992, p 165-181, Compendex.
  18. The Poincare Conjecture is True in the Product of any Graph with a Disk   
    David Gillman  
    Proceedings of the American Mathematical Society, Vol. 110, No. 3 (Nov., 1990), pp. 829-834, Jstor.    
  19. Skurriles aus der Flora und Fauna hyperbolischer Geometrie. (German)
    [Amusing facts about the flora and fauna of hyperbolic geometry]
    Zeitler, Herbert
    Praxis Math. 31 (1989), no. 2, 108--111, MathSciNet.  
  20. Conformal deformations of metrics on Poincaré disk.
    Cheng, Kuo-Shung; Tsen, Fu-Shiang P.; Yü, Wên Nêng
    Chinese J. Math. 16 (1988), no. 4, 229--238, MathSciNet.  
  21. Complex hyperbolic geometry.
    Epstein, D. B. A.
    Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984), 93--111, London Math. Soc. Lecture Note Ser., 111, Cambridge Univ. Press, Cambridge, 1987, MathSciNet.  
  22. Hyperbolic geometry and Hölder continuity of conformal mappings.
    Näkki, Raimo; Palka, Bruce
    Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985), 433--444, MathSciNet.  
  23. The hyperbolic geometry with horocycles as primitive notions.
    Prazmowski, Krzysztof
    Zeszyty Nauk. Geom. 14 (1984), 41--46, MathSciNet.  
  24. Hyperbolic geometry: its models. (Catalan)
    Girbau, Joan
    Butl. Sec. Mat. Soc. Catalana Ciènc. Fís. Quím. Mat. 1983, no. 14, 98--124, MathSciNet.  
  25. Hyperbolic geometry: the first 150 years.
    Milnor, John
    Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 1, 9--24, MathSciNet.  
  26. The Hilbert Model of Hyperbolic Geometry  
    Heinrich Guggenheimer
    The American Mathematical Monthly, Vol. 88, No. 10 (Dec., 1981), pp. 744-748, Jstor.   
  27. The Upper Half Plane Model for Hyperbolic Geometry   
    Richard S. Millman  
    The American Mathematical Monthly, Vol. 87, No. 1 (Jan., 1980), pp. 48-53, Jstor.  
  28. The new foundation of hyperbolic geometry.
    Menger, Karl
    A spectrum of mathematics (Essays presented to H. G. Forder), Auckland Univ. Press, Auckland, 1971, pp. 86--97, MathSciNet.  
  29. On a new presentation of the hyperbolic trigonometry by aid of the Poincaré model.
    Hajós, G.; Szász, P.
    Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 7 1964 67--71, MathSciNet.  
  30. A Note on Parts and Hyperbolic Geometry  
    Joseph Lewittes
    Proceedings of the American Mathematical Society, Vol. 17, No. 5 (Oct., 1966), pp. 1087-1090, Jstor.   
  31. An Instrument in Hyperbolic Geometry  
    M. W. Al-Dhahir  
    Proceedings of the American Mathematical Society, Vol. 13, No. 2 (Apr., 1962), pp. 298-304, Jstor.  
  32. The Triangular Inequality in the Projective Model of a Hyperbolic Geometry  
    C. F. Moppert  
    The American Mathematical Monthly, Vol. 67, No. 8 (Oct., 1960), pp. 782-784 Jstor.  
  33. Barbilian geometry and the Poincare Model  
    P. J. Kelly
    The American Mathematical Monthly, Vol. 61, No. 5 (May, 1954), pp. 311-319, Jstor.    
  34. Hyperbolic Trigonometry Derived from the Poincare Model  
    Howard Eves; V. E. Hoggatt, Jr.
    The American Mathematical Monthly, Vol. 58, No. 7 (Aug., 1951), pp. 469-474, Jstor.     
  35. Conformal Classification of Analytic Arcs or Elements: Poincare's Local Problem of Conformal Geometry  
    Edward Kasner  
    Transactions of the American Mathematical Society, Vol. 16, No. 3 (Jul., 1915), pp. 333-349, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005