What is the history of mathematics in Africa?

Africa didn't borrow mathematics from the rest of the world, it gave mathematics to the rest of the world, starting more than 20,000 years ago in central Africa and building through ancient Egypt into one of the most sophisticated intellectual traditions in human history.

This is the thread I keep wanting to pull on whenever we talk about African queens, African empires, African resistance. Every one of those stories depended on calculation: counting soldiers, measuring grain, surveying land, tracking the calendar. None of it was improvised. There was a mathematical tradition behind it, and it is older than almost anyone is taught.

The oldest mathematical tool on earth

The most famous evidence of math in Africa is the Ishango bone, a tool that archaeologists believe existed anywhere between 10,000 and 50,000 years ago. It is the fibula of a baboon, with a sharp piece of quartz affixed to one end for engraving. It was found in what is now the Democratic Republic of Congo, near the headwaters of the Nile. The notches on the bone reveal an early understanding of arithmetic, including summation and prime numbers, as well as methods resembling later Egyptian multiplication techniques. Common interpretations are that the Ishango bone shows either the earliest known demonstration of sequences of prime numbers or a six-month lunar calendar.

Before the Ishango bone there was the Lebombo bone, found in southern Africa. It is a baboon fibula with 29 distinctive markings, which indicate that it could have been used to monitor the lunar and menstrual cycles or solely as a measuring stick. The oldest known mathematical artifacts, such as the Lebombo bone, date back to 35,000 BC, showing early counting methods.

It is even possible that the modern world owes one of its greatest debts to the people who lived at Ishango, because the Egyptian number system was a basis and a prerequisite for the scientific achievements of classical Greece, and the oldest clue to the use of a number system dates back to the central Africa of the Mesolithic period.

Egypt: where mathematics became a written discipline

Ancient Egypt, which sits on the African continent and whose culture grew from Nile Valley and Saharan roots long before the Greeks arrived in 332 BC, turned those early counting traditions into a formal system of written mathematics.

The most important surviving documents are the Rhind Papyrus, the Moscow Papyrus, and the Berlin Papyrus. These papyri were mainly a compilation of solved problems in arithmetic, algebra and geometry, intended for training civil servants in the art of calculation.

The Rhind Papyrus, a scroll about 6 metres long, was written around 1650 BC by the scribe Ahmes, who states he is copying a document 200 years older. In total, there are 87 solved problems detailing traditional Egyptian methods of multiplication, division, the use of unit fractions, solving for unknown quantities, and applied geometry.

The value for π was already approximated as 3.16, a 0.6% margin of error that is extremely good even by modern standards, 4,000 years before that value was fixed at 3.14. The Moscow Papyrus contains several algebraic and geometric problems together with their solutions, some of which concern the volume of a truncated pyramid and the surface area of a hemispherical bowl.

Most histories of mathematics devote only a few pages to ancient Egypt and generally ignore the history of mathematics in Africa south of the Sahara, giving the impression that this history did not exist or was not knowable. That is a choice. It is not the record.

What the deliberate erasure cost us

The same pattern we have seen with every other story shows up here. Even the Africanity of Egyptian mathematics is often denied in history, as Eurocentric views of both "history" and "mathematics" form the basis of such assessments. Egyptian mathematics was African mathematics. The pyramids are not a mystery. They are an engineering achievement built on a mathematical tradition that started in central Africa, developed along the Nile, and then traveled north into the ancient Greek world that claimed it as its own.

The modern line

Elbert Frank Cox was the first African American, and likely the first Black person in the world, to earn a PhD in mathematics. Martha Euphemia Lofton Haynes was the first Black American woman to earn a PhD in mathematics, earning it in 1943 at The Catholic University in Washington, D.C. Katherine Johnson provided the orbital entry and launch window calculations that enabled John Glenn to orbit the earth, and also provided the calculations that coordinated the Apollo moon landing.

A website, Mathematicians of the African Diaspora, was started by Scott Williams to promote the contributions to mathematical research from members of the African diaspora. It is worth your time.

The line from the Ishango bone to the pyramids to Katherine Johnson's calculations for NASA is one unbroken tradition. Africa did not need someone else to teach it mathematics. It taught mathematics to the world.

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This follows on from
What did Africa give the world?

Africa gave the world everything that came first: the human species itself, the oldest mathematical artifacts, the 365-day calendar, the foundations of geometry and medicine, the alphabet and writing, iron metallurgy, and the moral framework that later became the ethics of every major civilization.

Read that one first

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