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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 External Link Icon

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
Read more
Details Icon

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
More about 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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A basic course in number theory by NPTEL
 at 
NPTEL 

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