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Introduction to number theory

The Open University via OpenLearn

Description

This free course, Introduction to number theory, is a branch of mathematics concerned with the properties of integers. Section 1 introduces Euclid’s algorithm, which is used to find the HCF of two integers, and the idea of congruences, mathematical statements used to compare remainders when two integers are each divided by another integer. Section 2 introduces modular arithmetic, in which the usual arithmetic operations are applied to congruences. Section 3 introduces multiplicative inverses, which provide a method for division in modular arithmetic, and their use in solving linear congruences which are used in cryptography for disguising information or ciphers. Please note: a Statement of Participation is not issued for this course.

Tags
Abstract Algebra

Syllabus

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

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Online Courses
OpenLearn

Introduction to number theory

The Open University
Start Learning Find study partner
Affiliate notice

  • Type
    Online Courses
  • Provider
    OpenLearn

This free course, Introduction to number theory, is a branch of mathematics concerned with the properties of integers. Section 1 introduces Euclid’s algorithm, which is used to find the HCF of two integers, and the idea of congruences, mathematical statements used to compare remainders when two integers are each divided by another integer. Section 2 introduces modular arithmetic, in which the usual arithmetic operations are applied to congruences. Section 3 introduces multiplicative inverses, which provide a method for division in modular arithmetic, and their use in solving linear congruences which are used in cryptography for disguising information or ciphers. Please note: a Statement of Participation is not issued for this course.

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

Tags

Abstract Algebra

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