The first ever printed maths book, as far as we know, was the “Treviso Arithmetic”, printed in Treviso, near Venice, in Italy, in 1478. A printed edition of Euclid’s “Elements” came out soon after, in 1482. Unlike Euclid, where everything is proofs, the Treviso Arithmetic was a collection of practical ideas to do or check calculations.

# Tag Archives: Number theory

# Is zero a number?

A student asked: is zero a number? This is my answer. Continue reading

# Fortnightly maths prize for 7 July

Nearly 100 years ago, the great mathematician Srinivasa Ramanujan was ill in hospital. His friend G H Hardy, professor of maths at Cambridge, went to visit him. Continue reading

# Fortnightly maths prize for 23 June

No-one attempted this one, which I guess is due to it being post-exam time rather than it being specially difficult.

**Part 1:**

To help you: 1+2+3+4+….+n=½n(n+1) for all n

**Part 2:**

Find the sum to n terms of the first n numbers multiplied pairwise

For n = 3 it is 1×2 + 1×3 + 2×3, which makes 11

Your job is to find a general formula which works for any n.

To help you: 1^{2}+2^{2}+3^{2}+….+n^{2}=^{1}⁄_{6}n(n+1)(2n+1). Continue reading

# Vieta jumping

# Maths prize: Russian peasant boys (1 December 2015)

The painting above, done in 1895, is of Russian peasant boys doing a mental arithmetic puzzle. As you can see, one of them has the answer and is whispering it into the teacher’s ear. Continue reading

# Fortnightly maths prize for 24 March

Sharif Quansah and Hayden Leroux won prizes for partial answers.

The problem: Calculate the remainder when 2^{3} is divided by 3

when 2^{5} is divided by 5

when 2^{7} is divided by 7

when 3^{5} is divided by 5

when 3^{7} is divided by 7

when 4^{5} is divided by 5 Continue reading