Algebraic number theory is a foundational branch of mathematics that investigates the properties of algebraic numbers and their relationships through the lens of field extensions and rings of integers ...

A vector $m = (m_1,\ldots, m_n) \in \mathbf{Z}^n\backslash\{0\}$ is called an integer relation for the real numbers $\alpha_1,\ldots, \alpha_n$, if $\sum \alpha_im_i ...

In 1886 the mathematician Leopold Kronecker famously said, “God Himself made the whole numbers — everything else is the work of men.” Indeed, mathematicians have introduced new sets of numbers besides ...

Algebra uses letters and symbols in the place of numbers and can be used to simplify expressions. Algebraic notation close algebraic notationA series or system of written symbols used to represent ...

Courtney Gibbons is affiliated with the Association for Women in Mathematics and the American Mathematical Society. You might remember learning about the quadratic formula to figure out the solutions ...

Graduate students in algebra, number theory and algebraic geometry courses build upon knowledge first learned in grade school. These are the best math schools for algebra / number theory / algebraic ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

The accelerated algebra course was specifically designed for motivated students to progress towards their mathematics or statistics course required by their major in one less semester. The purpose of ...