Course Archives Theoretical Statistics and Mathematics Unit

Course: Geometry Instructor: Suresh Nayak Room: G23 Level: Undergraduate Time: Currently offered

Syllabus Past Exams Syllabus: AFFINE GEOMETRY: Affine spaces, mappings. Thales theorem, Pappus the orem, Desargues theorem. Convexity. EUCLIDEAN GEOMETRY: Euclidean vector spaces, Euclidean affine spaces. Linear isometries and rigid motions. Spheres, Spherical triangles, Polyhedra and Eulers formula. PROJECTIVE GEOMETRY: Projective spaces, Pappus and Desargues theorem. Projective duality, Projective transformations. Cross Ratio. Complex projective line and circular group Reference Texts: (a) M. Audin: Geometry (b) R. Fenn: Geometry (c) P. M. H. Wilson: Curved Spaces: From Classical Geometries to Elementary Differential Geometry Evaluation: Mid-term 25 marks Assignment 25 marks Final Exam 50 marks Total 100 marks Top of the page Past Exams

Midterm 24.pdf 25.pdf Semestral 24.pdf Supplementary and Back Paper Top of the page

[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute]