Ratios are used to show how things are shared. For example, the necklace in the image below has a pattern of two red beads for every three yellow beads. The ratio of red beads to yellow beads is \(2:3 ...

This is the revised and expanded edition of the problem book Linear Algebra: Challenging Problems for Students, now entitled Problems in Linear Algebra and Matrix Theory. This new edition contains ...

Algebraic structures form the backbone of modern abstract algebra, encapsulating a wide range of systems such as groups, rings, fields, and modules, each characterised by distinct axiomatic properties ...

Solving one of the oldest algebra problems isn't a bad claim to fame, and it's a claim Norman Wildberger can now make: The mathematician has solved what are known as higher-degree polynomial equations ...