Oxford University Unveils 2 Letters on Ancient Egyptian Mathematics

The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)
The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)
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Oxford University Unveils 2 Letters on Ancient Egyptian Mathematics

The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)
The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)

Two researchers at Oxford University unveiled a scientific document on mathematics in Ancient Egypt.

The document features two letters exchanged between Thomas Eric Peet (1882–1934), who was professor of Egyptology at the University of Liverpool and then a professor of Egyptology at Oxford, and Otto Neugebauer (1899–1990), one of the most prominent mathematics historians in the 20th century.

The letters were found at Peet's house, and then gifted to the Queen's College at Oxford. A recent study published in the latest issue of the Historia Mathematica journal, showcased the letters which shed light on the early 20th century study of ancient Egyptian math and issues of historical approaches to the ancient world.

The study was led by historian of mathematics Dr. Christopher Hollings and Egyptology Professor Richard Bruce Parkinson, who worked together on evaluating the discussions between Peet and Neugebauer, and a study prepared by Peet on a Rhind Mathematical Papyrus dating from 1537 BCE, now held in the British Museum.

In his study, Peet said the papyrus consists of over 80 arithmetical and geometrical problems and solutions, ranging from the distribution of rations among workers, to the calculation of areas and volumes. As such, it is one of the most complete surviving sources providing an insight into the mathematics used in ancient Egypt.

Peet's edition reignited academic interest in Egyptian mathematics. One of the people whom his work inspired was Neugebauer, who subsequently wrote a doctoral dissertation on the principles of Egyptian fraction reckoning (as reflected in the Rhind Papyrus).

According to Hollings and Parkinson, the letters between the pair shed light on the way in which ancient Egyptian mathematics was being re-evaluated in the 1920s.

They explained that the letters reveal a contrast between the attitudes of two scholars who approached the subject with different viewpoints. Both were competent mathematicians and Egyptologists, and yet one of them, Neugebauer, put the mathematics first, and linked the modern ideas on mathematics to the direct evidence of papyri.

As per Peet, he brought Egyptological considerations to the fore, and confined his analysis largely to what was clearly and unequivocally present in the ancient text.



Shrouded in Smog, Delhi Pollution Reading Is the Highest This Year

Thick smog engulfs the Kartavya Path near India Gate in New Delhi on November 18, 2024. (AFP)
Thick smog engulfs the Kartavya Path near India Gate in New Delhi on November 18, 2024. (AFP)
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Shrouded in Smog, Delhi Pollution Reading Is the Highest This Year

Thick smog engulfs the Kartavya Path near India Gate in New Delhi on November 18, 2024. (AFP)
Thick smog engulfs the Kartavya Path near India Gate in New Delhi on November 18, 2024. (AFP)

A thick blanket of toxic smog engulfed most parts of northern India on Monday and readings of air quality in the capital New Delhi hit their highest this year after dense fog overnight.

The smog, a toxic blend of smoke and fog, happens each year in winter as cold air traps dust, emissions, and smoke from illegal farm fires in some surrounding states.

Visibility dropped to 100 m (109 yards) in Delhi and Chandigarh, a city northwest of the capital, but authorities said flights and trains continued to operate with some delays.

India's pollution control authority said the national capital territory's 24-hour air quality index (AQI) reading was at 484, classified as "severe plus", the highest this year.

According to Swiss group IQAir's live rankings, New Delhi was the most polluted city in the world with the air quality at a "hazardous" 1,081 and the concentration of PM2.5 - particulate matter measuring 2.5 microns or less in diameter that can be carried into lungs, causing deadly diseases and cardiac issues - was 130.9 times the World Health Organisation's recommended levels.

Experts say the scores vary because of a difference in the scale countries adopt to convert pollutant concentrations into AQI, and so the same quantity of a specific pollutant may be translated as different AQI scores in different countries.

Delhi authorities directed all schools to move classes online and tightened restrictions on construction activities and vehicle movements, citing unfavourable meteorological conditions and low wind speed.

Farm fires - where stubble left after harvesting rice is burnt to clear fields - have contributed as much as 40% of the pollution in Delhi, SAFAR, a weather forecasting agency under the ministry of earth sciences has said.

Satellites detected 1,334 such events in six states on Sunday, the most in the last four days, according to India's Consortium for Research on Agroecosystem Monitoring and Modeling from Space.

Despite the polluted air, many residents continued their daily routines. Many buildings were barely visible, including Delhi's iconic India Gate.

"Morning walk usually feels good, but now the air is polluted and we're forced to wear a mask... There is a burning sensation in the eyes and slight difficulty in breathing," Akshay Pathak, a resident of the city told the ANI news agency, in which Reuters has a minority stake.

India's weather department has forecast "dense to very dense fog" for the northern states of Uttar Pradesh, Haryana and Rajasthan for Monday.