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30 November 2021 | Story Leonie Bolleurs | Photo Supplied
Prof Johan Meyer, Senior Professor in the Department of Mathematics and Applied Mathematics, says he is looking forward to learning from others in the field during this collaboration.

What do trees, black holes, earthquakes, and time structures have in common? 

The answer to this question is that these, in one way or the other, form the focus of some of the abstracts delivered during the Annual Congress of the South African Mathematical Society. The society has as its main objective the advancement of mathematics in South Africa. 

The Department of Mathematics and Applied Mathematics at the University of the Free State (UFS), in conjunction with the South African Mathematical Society (SAMS 2021), is hosting the 64th Annual Congress of the society this week (29 November to 1 December 2021).

Prof Johan Meyer, Senior Professor in the department, says the congress, which is being conducted online, is focusing on all aspects of mathematics research, including history and teaching.

Learning from others in the field

The congress, which aims to share the latest research results in mathematics, will be attended by staff and students from universities across South Africa as well as abroad. “Anyone from the public is, of course, welcome to attend or even share their results if they are also involved in mathematics research,” adds Prof Meyer. 

He says that he is looking forward to learning from others in the field during this collaboration. 

The congress will include discussions on more than 120 abstracts, covering category theory, algebra, topology, logic; functional analysis and operator theory; finite groups and combinatorial structures; graph theory and combinatorics; lie symmetries and nonlinear differential equations; and applied and numerical mathematics.

Array of interesting topics presented

“It is important in many areas of science and engineering to predict and to simulate rare, random events, the occurrence of which may have negative or even catastrophic consequences. Examples include internet server overflows, mechanical breakdowns, floods, and financial crashes. Rare events can also have a positive effect, triggering for example chemical reactions or driving genetic evolution via random mutations.” Prof Hugo Touchette from Stellenbosch University will be shedding some light on this interesting topic in his presentation on Predicting and simulating rare events.

Prof Jeandrew Brink, Associate Professor in the Department of Mathematics and Applied Mathematics at the UFS, is presenting a plenary session on the topic Determining the geometry of strong field space-times in spite of tacitly assuming the answer during every measurement. In South Africa, state-of-the art pulsar timing data from the MeerKAT telescope will make a considerable contribution to conducting GR orbital tests. Prof Brink comments on how pulsar timing tests differ from tests using gravitational wave detectors, as well as what we can learn from the framework already employed to perform pulsar timing measurements.

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Africa the birthplace of mathematics, says Prof Atangana
2017-11-17


 Description: Prof Abdon Atangana, African Award of Applied Mathematics  Tags: Prof Abdon Atangana, African Award of Applied Mathematics

Prof Abdon Atangana from the UFS Institute for Groundwater Studies.
Photo: Supplied

 

Prof Abdon Atangana from the Institute for Groundwater Studies at the University of the Free State recently received the African Award of Applied Mathematics during the International conference "African’s Days of Applied Mathematics" that was held in Errachidia, Morocco. Prof Atangana delivered the opening speech with the title "Africa was a temple of knowledge before: What happened?” The focus of the conference was to offer a forum for the promotion of mathematics and its applications in African countries.

When Europeans first came to Africa, they considered the architecture to be disorganised and thus primitive. It never occurred to them that Africans might have been using a form of mathematics that they hadn’t even discovered yet.

Africa is home to the world’s earliest known use of measuring and calculation. Thousands of years ago Africans were using numerals, algebra and geometry in daily life. “Our continent is the birthplace of both basic and advanced mathematics,” said Prof Atangana. 

Africa attracted a series of immigrants who spread knowledge from this continent to the rest of the world.

Measuring and counting
In one of his examples of African mathematics knowledge Prof Atangana referred to the oldest mathematical instrument as the Lebombo bone, a baboon fibula used as a measuring instrument, which was named after the Lebombo Mountains of Swaziland. The world’s oldest evidence of advanced mathematics was also a baboon fibula that was discovered in present-day Democratic Republic of Congo.

Another example he used is the manuscripts in the libraries of the Sankoré University, one of the world’s oldest tertiary institutions. This university in Timbuktu, Mali, is full of manuscripts mainly written in Ajami in the 1200s AD. “When Europeans and Western Asians began visiting and colonising Mali between the 1300s and 1800s, Malians hid the manuscripts in basements, attics and underground, fearing destruction or theft by foreigners. This was certainly a good idea, given the Europeans' history of destroying texts in Kemet and other areas of the continent. Many of the scripts were mathematical and astronomical in nature. In recent years, as many as 700 000 scripts have been rediscovered and attest to the continuous knowledge of advanced mathematics and science in Africa well before European colonisation. 

Fractal geometry

“One of Africa’s major achievements was the advanced knowledge of fractal geometry. This knowledge is found in a wide aspect of Africa life: from art, social design structures, architecture, to games, trade and divination systems. 

“The binary numeral system was also widely known through Africa before it was known throughout much of the world. There is a theory that it could have influenced Western geometry, which led to the development of digital computers,” he said. 

“Can Africa rise again?” Prof Atangana believes it can.

He concluded with a plea to fellow African researchers to do research that will build towards a new Africa.

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