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Number theory

Offered By: The Open University via OpenLearn

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Number Theory Courses Mathematical Induction Courses

Course Description

Overview

This free course is an introduction to Number Theory. Section 1 provides a brief introduction to the kinds of problem that arise in Number Theory. Section 2 reviews and provides a more formal approach to a powerful method of proof, mathematical induction. Section 3 introduces and makes precise the key notion of divisibility. The Division Algorithm, concerning the division of one integer by another, is used. Its consequences, both practical and theoretical, make it a cornerstone of number theory. Section 4 explores some of the basic properties of the prime numbers and introduces the sieve of Eratosthenes.

Syllabus

  • Introduction
  • Learning outcomes
  • Link to course PDF
  • Conclusion
  • Acknowledgements

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