ERIC Number: ED159053
Record Type: RIE
Publication Date: 1978
Reference Count: N/A
Deductive Systems: Finite and Non-Euclidean Geometries.
Runion, Garth E.; Lockwood, James R.
The study of the non-Euclidean geometries resulting from changes in the Euclidean parallel postulate often strengthens an individual's awareness and understanding of the deductive systems of mathematics in general. Students at both the high school and college levels are frequently fascinated by the study of deductive systems such as the two non-Euclidean systems considered in this book. In chapter 1 several simple finite deductive systems are considered. The mathematical system considered in chapter 2 is usually referred to as Lobachevskian geometry, and that discussed in chapter 3 is Riemannian geometry. The book can be used as supplemental material for mathematics courses at both the high school and the college levels or as a primary text for a mini-course. In addition, it can be valuable for secondary school students doing individualized or independent study. (Author/MP)
Descriptors: College Mathematics, Deduction, Geometry, Higher Education, Independent Study, Mathematics Education, Minicourses, Reference Materials, Secondary Education, Secondary School Mathematics, Supplementary Reading Materials
National Council of Teachers of Mathematics, Inc., 1906 Association Drive, Reston, Virginia 22091 (no price quoted)
Publication Type: Books
Education Level: N/A
Authoring Institution: National Council of Teachers of Mathematics, Inc., Reston, VA.
Identifiers: Finite Geometry; Noneuclidean Geometry