# IIT Bombay - A basic course in number theory by NPTEL

• Offered byNPTEL

## A basic course in number theory by NPTEL at NPTEL Overview

Offered by Indian Institute of Technology Bombay and NPTEL
 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)
• Pay for Certification Examination

## A basic course in number theory by NPTEL at NPTEL Course details

Who should do this course?
• 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 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 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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A basic course in number theory by NPTEL
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