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Non-Euclidean Geometry: Its Development and Properties

  1. Asimov, Isaac, Chapter 10: Euclid's Fifth in The Edge of Tomorrow.
  2. Barker, Non-Euclidean Geometry, Mathematics: People, Problems, Results, vol II
  3. Bibliography of Non-Euclidean Geometry, 2nd ed.
  4. Cajori, Florian, A History of Elementary Mathematics, QA21.C12
  5. Campbell & Higgins, ed., Mathematics: People, Problems, Results, Vol I & II
  6. Coolidge, Julian L., A History of Geometrical Methods, QA21.C65
  7. Davis & Hersch, The Mathematical Experience
  8. Dunham, William, Journey Through Genius QA21.D78
  9. Dunnington, C. Waldo; Carl Friedrich Gauss: Titan of Science , Hafner Publishing Co. 1955.
  10. Eves, Howard, An Introduction to the History of Mathematics, QA21.E8
  11. Fink, Karl, A Brief History of Mathematics, QA21.F49
  12. Gardner, Martin, Euclid's Parallel Postulate and its Modern Offspring, Scientific American, Oct. `81
  13. Gittleman, Arthur, History of Mathematics, QA21.G57
  14. Goodman-Strauss, Chaim, Compass and Straightedge in the Poincare Disk , The American Mathematical Monthly, January 2001, pp.~38-49.
  15. Grabiner, Judith, The Centrality of Mathematics In Western Thoughts, Mathematics Magazine, Vol. 61 No. 4 (October 1988).
  16. Gray, Jeremy, Ideas of Space, QA21.G7
  17. Greenberg, Marvin J., Euclidean and Non-Euclidean Geometries, QA445.G84
  18. Groza, Vivian S., A Survey of Mathematics, QA21.G75
  19. Hall, Trod; Trans. Froderberg, Albert; Carl Friedrich Gauss The MIT Press 1970.
  20. Henderson, The Fourth Dimension and Non-Euclidean Geometry in Modern Art, N6490.H44
  21. Henle, Michael, ``Will the Real Non-Euclidean Parabola Please Stand Up?'' Mathematics Magazine, Vol. 71, No. 5, Dec. 1998, p. 369-376.
  22. Hollingdale, Stuart; Makers of Mathematics; , Penguin 1989.
  23. Kline, Mathematical Thought from Ancient to Modern Times QA21.K53
  24. Lanczos, Cornelius, Space Through the Ages, QA21.L28
  25. Meschkowski, Herbert; Noneuclidean Geometry Academic Press 1964.
  26. Morrow, Glenn R.; Proclus: A Commentary on the First Book of Euclid's Elements , Princeton 1970.
  27. Osserman, Robert ``Geometry of the Universe,'' in Stanford Magazine, December 1995.
  28. Peterson, Ivars, ``Visions of Infinity: Tiling a hyperbolic floor inspires both mathematics and art,'' in Science News, Vol. 158, December 23 & 30, 2000, pp. 408 - 410.
  29. Rosenfeld, B.A.;A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space; Springer-Verlag 1988.
  30. Girolamo Saccheri's Euclides Vindicatus QA685.5313
  31. Sanford, Vera, A Short History of Mathematics, QA21.S3
  32. Science, March 9, 1962, article on binocular vision
  33. Smith, David E., History of Mathematics, Vol I, II, QA21.S3
  34. Sommerville, D.M.Y., The Elements of Non-Euclidean Geometry, New York: Dover Publications, 1958.
  35. Sturik, D.J., A Source Book in Mathematics, 1200-1800, QA21.S83
  36. Trudeau, Richard, The Non-Euclidean Revolution
  37. Yaglom, I.M., A Very Simple Non-Euclidean Geometry and Its Physical Basis, Springer-Verlag, `79 QA685.I2413
  38. Zage, Wayne, The Geometry of Binocular Visual Space, Math Magazine, Nov. `80
Websites (with date of addition to this list)
   
1.  Polking, John C,   http://math.rice.edu/~pcmi/sphere/   (January 10, 2005)


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Next: Impossible Geometric Constructions Up: Index of Topics Previous: Early History

Judith Cederberg

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