Course Archives Theoretical Statistics and Mathematics Unit

Course: Geometry Instructor: Jishnu Biswas 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 50 marks Assignment --- marks Final Exam 50 marks Total 100 marks Top of the page Past Exams

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

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