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 ...

The p-adics form an infinite collection of number systems based on prime numbers. They’re at the heart of modern number theory. The rational numbers are the most familiar numbers: 1, -5, ½, and every ...

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 ...

Renée DiResta’s two-year-old son says, “Mommy goes to work,” and her husband simply says that “Renée does things.” The real truth is that DiResta is undefinable, and therefore at home among her ...

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 ...