“There are five fundamental operations in mathematics,” the German mathematician Martin Eichler supposedly said. “Addition, subtraction, multiplication, division and modular forms.” Part of the joke, ...

In Algebra, factorising is the opposite of expanding. Module 1 (M1) - Algebra - Terminology Algebra is the part of mathematics in which letters and other symbols are used to represent numbers in ...

An equation is a statement with an = sign. It tells us that the expression on the left-hand side of the = sign is equal to the expression on the right-hand side. Module 2 (M2) - Algebra - Expand and ...

Partition theory studies the ways in which a positive integer can be expressed as a sum of positive integers, without regard to order. Originating in the work of Euler, it has evolved through the ...

Iwasawa theory investigates the variation of arithmetic invariants—such as class groups and Selmer groups—along infinite towers of number fields, most classically the cyclotomic Z p-extension of the ...