Algebra provides the formal framework to describe mathematical structures such as groups, rings and fields, while number theory investigates the properties of integers and their extensions. At their ...

Visit NAP.edu/10766 to get more information about this book, to buy it in print, or to download it as a free PDF. §14.2 Algebraic Topology. Topology is generally introduced as I described it in §AG.6, ...

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 ...

Indian mathematician Mahesh Kakde, a professor at the Indian Institute of Science (IISc), Bengaluru, has been awarded the Ramanujan Prize 2026 for his important contributions to algebraic number ...

Pupils investigate how to make a number pyramid have the largest number at the top, given some numbers they have to put at the bottom. They should then try to explain (algebraically if possible) why ...

Algebra is all about missing values or numbers. If you have solved a missing box problem, you have already solved an algebra equation. Rather than drawing missing boxes or writing the words “missing ...

The research interests of the number theory faculty at UMass Amherst include algebraic number theory (the study of the arithmetic of finite extensions of the rational numbers), analytic number theory ...