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08 March 2022 | Story Andre Damons | Photo Sonia Small (Kaleidoscope Studios)
Prof Abdon Antangana
Prof Abdon Atangana, a Professor of Applied Mathematics in the Institute for Groundwater Studies at the University of the Free State (UFS) and South Africa’s top-ranked scientist in Mathematics, wants to prepare the next generation of African professors.

A new book written by Prof Abdon Atangana, Professor of Applied Mathematics at the Institute for Groundwater Studies at the University of the Free State (UFS), in collaboration with one of his students, on the flow of groundwater, suggests several new and modified models to better predict anomalous behaviours of the flow and the movement of pollution within complex geological formations.

Mathematical Analysis of Groundwater Flow Models is one of two books Prof Atangana published recently that he wrote with his students. The other, Fractional Stochastic Differential Equations: Applications to Covid-19 Modeling, provides a thorough conversation on the underpinnings of COVID-19 spread modelling. He wrote the book with a postdoctoral fellow, Dr Seda Araz Igret from SIIRT University, Turkey. Since 2016 he has published a total number of six books, some of which are still under evaluation by Springer and Elsevier.

Time to prepare next generation of African professors 

This highly cited researcher is excited about collaborating with his students on projects such as these as he feels it is time for him to prepare the way for the next generation of African professors. Prof Atangana is ranked at No 219 in the world rankings and No 1 in South Africa by Research.com, a leading academic platform for researchers. 

According to the platform, which recently released the 2022 Edition of its Ranking of Top 1000 Scientists in the field of Mathematics, the ranking is based on the H-index metric provided by Microsoft Academic and includes only leading scientists with an H-index of at least 30 for academic publications in the field of Mathematics.

“Both books are important for me because they are first-time published books with my own students. There is a time to prepare the way for yourself and a time to prepare ways for the next generation. It is time for me to prepare the way for the next generation of African professors. I wish that the next time this list (https://research.com/scientists-rankings/mathematics/za) [is released] many of my students [will] appear,” says Prof Atangana.

About his book with Dr Igret, he says it presents the dynamic of COVID-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours, which resemble power law, fading memory, crossover, and stochastic behaviours. Fractional stochastic differential equations are therefore used to model spread behaviours in different parts of the world. 

“The content coverage includes a brief history of COVID-19 spread worldwide from December 2019 to September 2021, followed by statistical analysis of collected data for infected, death and recovery classes,” says Prof Atangana.

Mathematical analysis of Groundwater Flow Models serves as a valuable resource for graduate and PhD students as well as researchers working within the field of groundwater modelling, says Prof Atangana. It includes features such as:
• Modified numerical and analytical methods for solving new and modified models for groundwater flow and transport 
• New flow and transform models for groundwater transport in complex geological formations 
• Examination of fractal and crossover behaviours and their mathematical formulations

Top-ranking scientist 

Prof Atangana was also recently elected as a fellow of The World Academy of Sciences (TWAS) and received the World Academy of Sciences Award for Mathematics (TWAS -Mohammad A Hamdan, 2020) on 1 November 2021.

Very recently, he was also ranked No 1 in the world in Mathematics, No 186 in the world in all the fields, and No 1 in Africa in all the fields, according to the Stanford list of 2% single-year table.

He was also named among the top 1% of scientists on the global Clarivate Web of Science list. Fewer than 6 200 or 0.1% of the world’s researchers were included on this list in 2019, 2020 and 2021, with fewer than 10 of the scientists hailing from South Africa. 

“While my name is ranked No 1 in South Africa and No 219 in the world, this shows the impact of my research that has been done since 2013. It is worth noting that this ranking disadvantages younger researchers. For example, I got my first publication in 2013 but the researcher who was ranked No 1 started in 1972. To make the ranking fair, the total H-index should be divided by the number of years of publication. I am very proud to see that despite this disadvantage I am still topping in South Africa and am No 219 in the world.”

News Archive

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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