Course: MAT 479 2.0 Geometric Transformations (Optional)
Course content:
Isometries in the plane; Isometries in space; Affine transformations, Properties of affine transformations, Fundamental theorem of affine transformations, Affine transformations of conic sections; 3D form of affine transformations and applications; Introduction to Projective spaces, Projective geometric transformations.
Recommended Readings:
- Dodge C.W., Euclidean Geometry and Transformations, Dover Publications, 2004.
- Modenov P.S., Parkhomenko A.S., Geometric Transformations, SURVEY OF RECENT EAST EUROPEAN MATHEMATICAL LITERATURE, Vol. I, 1965.
- Yaglom I.M., Geometric Transformations I, The Mathematical Association of America, 1975.
- Struik D.J., Lectures on Analytic & Projective Geometry, Dover Publications, 2011.