Introduction to Geometrical Transformations

Course: AMT 213 1.0 Introduction to Geometrical Transformations (Compulsory)

Course content: 

Solid Analytic Geometry; revision of coordinates and vectors, lines and planes, Affine Spaces; equation of a line in an affine space, equation of a plane in an affine space, definition of an affine transformation, properties of affine transformations, Geometrical Transformations; two dimensional transformations, three dimensional transformations, Viewing in 3D; perspective projection, parallel projection

Recommended Readings: 

1. Fenn,R. (2000). Geometry. Springer.
2. Coxeter,H.S.M. (1969). Introduction to Geometry. John Wiley and Sons, Inc.
3. Dodge,C.W. (2004). Euclidean Geometry and Transformations. Dover Publications.
4. Modenov,P.S., & Parkhomenko,A.S. (1965). Geometric Transformations, Survey of Recent East European Mathematical Literature. Vol. I
5. Yaglom,I.M. (1975). Geometric Transformations I. The Mathematical Association of America.