{"id":14,"date":"2014-09-25T14:16:44","date_gmt":"2014-09-25T19:16:44","guid":{"rendered":"https:\/\/pages.stolaf.edu\/cederj\/?page_id=14"},"modified":"2018-01-23T15:10:21","modified_gmt":"2018-01-23T21:10:21","slug":"a-course-in-modern-geometries-second-edition-springer","status":"publish","type":"page","link":"https:\/\/pages.stolaf.edu\/cederj\/a-course-in-modern-geometries-second-edition-springer\/","title":{"rendered":"A Course In Modern Geometries, Second Edition, Springer"},"content":{"rendered":"<h4 style=\"color: #000000;\">Designed for junior-senior level mathematics majors, including those who plan to teach secondary mathematics. Chapters include lists of suggested sources for applications and\/or related topics in areas such as art and history.<\/h4>\n<ul style=\"color: #000000;\">\n<li><i>Chapter 1:<\/i>\u00a0describes axiomatic systems and presents finite geometry examples.<\/li>\n<li><i>Chapter 2:<\/i>\u00a0explores Euclid&#8217;s geometry and basic ideas of non-Euclidean geometry with special emphasis on hyperbolic geometry.<\/li>\n<li><i>Chapter 3:\u00a0<\/i>introduces symmetry and isometries via hands-on explorations, and then formally presents transformations of the Euclidean plane, using matrix representations.<\/li>\n<li><i>Chapter 4:\u00a0<\/i>presents plane projective geometry first synthetically, and then analytically by generalizing the transformation coverage of Chapter 3.<\/li>\n<li><i>Chapter 5:\u00a0<\/i>explores chaos theory and fractal geometry, stressing the self-similar nature of fractals and the role of transformations from Chapter 3 in their generation.<\/li>\n<\/ul>\n<div style=\"color: #000000;\" align=\"left\">\n<h4><strong>A. Errata for Second Edition<\/strong><\/h4>\n<ul>\n<li><a href=\"https:\/\/pages.stolaf.edu\/wp-content\/uploads\/sites\/446\/2014\/09\/errata1.pdf\">In original Second Edition<\/a><\/li>\n<li><a href=\"https:\/\/pages.stolaf.edu\/wp-content\/uploads\/sites\/446\/2014\/09\/errata2.pdf\">Found since Corrected Second Printing of 2005<\/a><\/li>\n<\/ul>\n<\/div>\n<h4 style=\"color: #000000;\">B.\u00a0<a title=\"Dynamic Geometry Explorations\" href=\"https:\/\/pages.stolaf.edu\/cederj\/dynamic-geometry-explorations\/\">Explorations with Dynamic Geometry Software<\/a><\/h4>\n<p><span style=\"color: #000000;\">These guided activities use the interactive capabilities of dynamic geometry software (specifically,\u00a0<\/span><i style=\"color: #000000;\">Cabri Geometry\u00a0<\/i><span style=\"color: #000000;\">and\u00a0<\/span><i style=\"color: #000000;\">Geometer&#8217;s Sketchpad\u00a0<\/i><span style=\"color: #000000;\">) to supplement and enhance many of the topics covered in the text. Each exploration includes a list of required equipment and detailed directions (in parallel versions for the two softwares) designed for independent student use.<\/span><\/p>\n<h4 style=\"color: #000000;\">C. Web Sites for Other Geometry Resources:<\/h4>\n<ul>\n<li><a href=\"http:\/\/mathforum.org\/\">The Math Forum<\/a><\/li>\n<li><a href=\"http:\/\/www.cabri.com\/\">Cabri Geometry<\/a><\/li>\n<li><a href=\"http:\/\/www.dynamicgeometry.com\/\">The Geometer&#8217;s Sketchpad<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Designed for junior-senior level mathematics majors, including those who plan to teach secondary mathematics. Chapters include lists of suggested sources for applications and\/or related topics in areas such as art and history. Chapter 1:\u00a0describes axiomatic systems and presents finite geometry examples. Chapter 2:\u00a0explores Euclid&#8217;s geometry and basic ideas of non-Euclidean geometry with special emphasis on [&hellip;]<\/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-14","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/14","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=14"}],"version-history":[{"count":8,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/14\/revisions"}],"predecessor-version":[{"id":294,"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/pages\/14\/revisions\/294"}],"wp:attachment":[{"href":"https:\/\/pages.stolaf.edu\/cederj\/wp-json\/wp\/v2\/media?parent=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}