{"id":74,"date":"2014-09-30T13:52:34","date_gmt":"2014-09-30T18:52:34","guid":{"rendered":"https:\/\/pages.stolaf.edu\/cederj\/?page_id=74"},"modified":"2015-08-05T16:29:08","modified_gmt":"2015-08-05T21:29:08","slug":"non-euclidean-geometry-its-development-and-properties","status":"publish","type":"page","link":"https:\/\/pages.stolaf.edu\/cederj\/non-euclidean-geometry-its-development-and-properties\/","title":{"rendered":"Non-Euclidean Geometry: Its Development and Properties"},"content":{"rendered":"

<\/h1>\n
    \n
  1. Asimov, Isaac, Chapter 10: Euclid’s Fifth in\u00a0The Edge of Tomorrow<\/i>.<\/li>\n
  2. Barker,\u00a0Non-Euclidean Geometry<\/i>, Mathematics: People, Problems, Results, vol II<\/li>\n
  3. Bibliography of Non-Euclidean Geometry<\/i>, 2nd ed.<\/li>\n
  4. Cajori, Florian,\u00a0A History of Elementary Mathematics<\/i>, QA21.C12<\/li>\n
  5. Campbell & Higgins, ed.,\u00a0Mathematics: People, Problems, Results<\/i>, Vol I & II<\/li>\n
  6. Coolidge, Julian L.,\u00a0A History of Geometrical Methods<\/i>, QA21.C65<\/li>\n
  7. Davis & Hersch, The Mathematical Experience<\/li>\n
  8. Dunham, William,\u00a0Journey Through Genius<\/i>\u00a0QA21.D78<\/li>\n
  9. Dunnington, C. Waldo;\u00a0Carl Friedrich Gauss: Titan of Science\u00a0<\/i>, Hafner Publishing Co. 1955.<\/li>\n
  10. Eves, Howard,\u00a0An Introduction to the History of Mathematics<\/i>, QA21.E8<\/li>\n
  11. Fink, Karl,\u00a0A Brief History of Mathematics<\/i>, QA21.F49<\/li>\n
  12. Gardner, Martin,\u00a0Euclid’s Parallel Postulate and its Modern Offspring<\/i>, Scientific American, Oct. `81<\/li>\n
  13. Gittleman, Arthur,\u00a0History of Mathematics<\/i>, QA21.G57<\/li>\n
  14. Goodman-Strauss, Chaim,\u00a0Compass and Straightedge in the Poincare Disk\u00a0<\/i>, The American Mathematical Monthly, January 2001, pp.~38-49.<\/li>\n
  15. Grabiner, Judith,\u00a0The Centrality of Mathematics In Western Thoughts<\/i>, Mathematics Magazine, Vol.\u00a061 No.\u00a04 (October 1988).<\/li>\n
  16. Gray, Jeremy,\u00a0Ideas of Space<\/i>, QA21.G7<\/li>\n
  17. Greenberg, Marvin J.,\u00a0Euclidean and Non-Euclidean Geometries<\/i>, QA445.G84<\/li>\n
  18. Groza, Vivian S.,\u00a0A Survey of Mathematics<\/i>, QA21.G75<\/li>\n
  19. Hall, Trod; Trans. Froderberg, Albert;\u00a0Carl Friedrich Gauss\u00a0<\/i>The MIT Press 1970.<\/li>\n
  20. Henderson,\u00a0The Fourth Dimension and Non-Euclidean Geometry in Modern Art<\/i>, N6490.H44<\/li>\n
  21. Henle, Michael, “Will the Real Non-Euclidean Parabola Please Stand Up?”\u00a0Mathematics Magazine<\/i>, Vol. 71, No. 5, Dec. 1998, p. 369-376.<\/li>\n
  22. Hollingdale, Stuart;\u00a0Makers of Mathematics;\u00a0<\/i>, Penguin 1989.<\/li>\n
  23. Kline,\u00a0Mathematical Thought from Ancient to Modern Times<\/i>\u00a0QA21.K53<\/li>\n
  24. Lanczos, Cornelius,\u00a0Space Through the Ages<\/i>, QA21.L28<\/li>\n
  25. Meschkowski, Herbert;\u00a0Noneuclidean Geometry\u00a0<\/i>Academic Press 1964.<\/li>\n
  26. Morrow, Glenn R.;\u00a0Proclus: A Commentary on the First Book of Euclid’s Elements\u00a0<\/i>, Princeton 1970.<\/li>\n
  27. Osserman, Robert “Geometry of the Universe,” in Stanford Magazine, December 1995.<\/li>\n
  28. Peterson, Ivars, “Visions of Infinity: Tiling a hyperbolic floor inspires both mathematics and art,” in\u00a0Science News<\/i>, Vol. 158, December 23 & 30, 2000, pp. 408 – 410.<\/li>\n
  29. Rosenfeld, B.A.;A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space;\u00a0<\/i>Springer-Verlag 1988.<\/li>\n
  30. Girolamo Saccheri’s Euclides Vindicatus<\/i>\u00a0QA685.5313<\/li>\n
  31. Sanford, Vera,\u00a0A Short History of Mathematics<\/i>, QA21.S3<\/li>\n
  32. Science, March 9, 1962, article on binocular vision<\/li>\n
  33. Smith, David E.,\u00a0History of Mathematics<\/i>, Vol I, II, QA21.S3<\/li>\n
  34. Sommerville, D.M.Y.,\u00a0The Elements of Non-Euclidean Geometry<\/i>, New York: Dover Publications, 1958.<\/li>\n
  35. Sturik, D.J., A Source Book in Mathematics, 1200-1800, QA21.S83<\/li>\n
  36. Trudeau, Richard,\u00a0The Non-Euclidean Revolution<\/i><\/li>\n
  37. Yaglom, I.M.,\u00a0A Very Simple Non-Euclidean Geometry and Its Physical Basis<\/i>, Springer-Verlag, `79 QA685.I2413<\/li>\n
  38. Zage, Wayne,\u00a0The Geometry of Binocular Visual Space<\/i>, Math Magazine, Nov. `80<\/li>\n<\/ol>\n

    <\/big>Websites (with date of addition to this list<\/small>)
    \n<\/span><\/big>1.\u00a0 Polking, John C, \u00a0\u00a0<\/span>http:\/\/math.rice.edu\/~pcmi\/sphere\/\u00a0<\/a>\u00a0 (January 10, 2005)<\/span><\/p>\n

    \u00a0<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

    Asimov, Isaac, Chapter 10: Euclid’s Fifth in\u00a0The Edge of Tomorrow. Barker,\u00a0Non-Euclidean Geometry, Mathematics: People, Problems, Results, vol II Bibliography of Non-Euclidean Geometry, 2nd ed. Cajori, Florian,\u00a0A History of Elementary Mathematics, QA21.C12 Campbell & Higgins, ed.,\u00a0Mathematics: People, Problems, Results, Vol I & II Coolidge, Julian L.,\u00a0A History of Geometrical Methods, QA21.C65 Davis & Hersch, The Mathematical […]<\/p>\n","protected":false},"author":841,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-74","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/74","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/users\/841"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/comments?post=74"}],"version-history":[{"count":2,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/74\/revisions"}],"predecessor-version":[{"id":277,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/74\/revisions\/277"}],"wp:attachment":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/media?parent=74"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}