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Modern Geometry by Wayne Aitken
This is a course note on Euclidean and non-Euclidean geometries with emphasis on (i) the contrast between the traditional and modern approaches to geometry, and (ii) the history and role of the parallel postulate. This course will be useful to students who want to teach and use Euclidean geometry, to students who want to learn more about the history of geometry, and to students who want an introduction to non-Euclidean geometry.
Author(s): Dr. Wayne Aitken
NA Pages 
This note covers the following topics: The classical theorem of Ceva, Ceva, Menelaus and Selftransversality, The general transversality theorem, The theorems of Hoehn and Pratt-Kasapi, Circular products of ratios involving circles, Circle transversality theorems, A basic lemma and some applications, Affinely Regular Polygons, Linear transformations; smoothing vectors, Affine-Regular Components, The general Napoleon's Theorem, The iteration of smoothing operations.
Author(s): Branko Grunbaum
164 Pages
Introductory modern geometry of point, ray, and circle
This book explains all the fundamental concepts in modern geometry.
Author(s): William Benjamin Smith
164 Pages
Modern Geometry Gilbert Lecture Notes
This course will show how geometry and geometric ideas are a part of everyone’s life and experiences whether in the classroom, home, or workplace. In the first chapter of the course notes will cover a variety of geometric topics. The four subsequent chapters cover the topics of Euclidean Geometry, Non-Euclidean Geometry, Transformations, and Inversion. However, the goal is not only to study some interesting topics and results, but to also give “proof” as to why the results are valid.
Author(s): Gilbert
230 Pages
Modern Geometry by Wayne Aitken
This is a course note on Euclidean and non-Euclidean geometries with emphasis on (i) the contrast between the traditional and modern approaches to geometry, and (ii) the history and role of the parallel postulate. This course will be useful to students who want to teach and use Euclidean geometry, to students who want to learn more about the history of geometry, and to students who want an introduction to non-Euclidean geometry.
Author(s): Dr. Wayne Aitken
NA PagesAdvertisement
