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Math Resources & Test Study Guides

Study Resources

MITOpenCourseware - Theory of Numbers

This course is an elementary introduction to number theory with no algebraic prerequisites. Topics covered include primes, congruences, quadratic reciprocity, diophantine equations, irrational numbers, continued fractions, and partitions. 


OpenLearn Introduction to Number Theory

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.


AoPSOnline

Provides an overview of the concept of number theory, student guides, resources, and related topics.


Mathematics Support Centre - Elementary Number Theory 

From this page you can access a collection of materials dealing with some important areas of Elementary Number Theory.


Number Theory Web

he Number Theory Web is a collection of links to online information of interest to number theorists.


 

Last Updated: Jul 25, 2023 3:44 PM