Most of us have little trouble working out how many millilitres are in 2.4 litres of water (it’s 2,400). But the same can’t ...

The usual completeness theorem for first-order logic is extended in order to allow for a natural incorporation of real analysis. Essentially, this is achieved by building in the set of real numbers ...

Recent progress on the “sum product” problem recalls a celebrated mathematical result that revealed the power of miniature number systems. It’s one thing to turn a cartwheel in an open field. It’s ...

You would be forgiven for thinking that real numbers are, in fact, real — the word is right there in the name. But physicist Nicolas Gisin doesn’t think so. He’s not questioning the mathematical ...

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of ...

CBSE Class 10 Mathematics begins with Chapter 1: Real Numbers, one of the most important and scoring topics in the syllabus. This chapter lays the foundation for advanced mathematical concepts such as ...