IIT Bombay - A basic course in number theory by NPTEL
- Offered byNPTEL
A basic course in number theory by NPTEL at NPTEL Overview
Duration | 12 weeks |
Total fee | Free |
Mode of learning | Online |
Difficulty level | Beginner |
Official Website | Explore Free Course  |
Credential | Certificate |
A basic course in number theory by NPTEL at NPTEL Highlights
- Offered by IIT Bombay
- Final score comprises of 25% for weekly assignment and 75% of the weightage for final exam
- Eligible for Certificate after scoring minimum 40% in Final Exam
- Enrollments start from 20 July 2020
- Course conducted by Prof. Shripad Garge (IIT Bombay alumni)
- Enroll for free
- Pay for Certification Examination
A basic course in number theory by NPTEL at NPTEL Course details
- Students with basic knowledge of Mathematics can take this course
- This course intends to develop the basics of number theory touching upon many essential points such as the prime number theorem, quadratic reciprocity laws, Gauss? theorem on the classification of binary quadratic forms, Brahmagupta-Pell equations, to quote a few. This course will enable a student to learn more advanced topics in number theory.
A basic course in number theory by NPTEL at NPTEL Curriculum
Week 1:Factorization of numbers, primes
Week 2:GCD, Euclid?s algorithm, properties of primes
Week 3:Arithmetical functions, examples
Week 4:Dirichlet product, M?o?bius inversion
Week 5:Congruences, Chinese remainder theorem, primitive roots
Week 6:Quadratic reciprocity law, applications
Week 7:Binary quadratic forms, Gauss? theory of reduced forms
Week 8:Sums of two squares, sums of four squares
Week 9:Diophantine approximation, theorems of Dirichlet and Liouville
Week 10:Continued fractions, quadratic irrationals
Week 11:Quadratic extensions of rationals, units in the rings of integers
Week 12:Diophantine equations with special reference to Brahmagupta-Pell equation
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