Syllabus
|
Course Code: Elective 2 MMATH21 -311 Course Name: Number Theor |
||
| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
|---|---|---|
| 1 | Greatest integer function, Arithmetic function, multiplicative function, completely multiplicative function, mobius- inversion formula, recurrence function, combinational number theory. | |
| 2 | Solution of the equation ax+by =c, simultaneous linear equations, Unimodular matrices, Pythagorean triangles, some assorted examples, ternary quadratic forms, rational points on curves. | |
| 3 | Farey sequences, rational approximations, Hurwitz theorem, irrational numbers, Blichfeldt’s principle, Minkowski’s Convex body theorem, Lagrange’s four square theorem. | |
| 4 | Euclidean algorithm, finite and infinite continued fractions, approximations to irrational numbers, Best possible approximations, Hurwitz theorem, Periodic continued fractions, Pell’s equation. | |
