Number Theory
Definition of Number Theory as it relates to Science, Mathematics, Computer Algebra
Number theory, as a branch of mathematics, focuses on the study of integers and their properties. It is deeply intertwined with computer algebra due to its reliance on algorithms for solving problems and proving theorems. In this context, number theoretic methods are used to develop efficient algorithms for solving polynomial equations or factoring large numbers, which in turn are crucial in cryptography and coding theory. Hence, it fits naturally under "Computer Algebra" in the hierarchy "Science/Mathematics/Computer Algebra/Number Theory".