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07 September 2018 Photo Stephen Collett
Mathematician makes popular contribution to science Prof Atangana
Prof Atangana is the first African under 40 years of age to be selected as African Academic of Science affiliated in Mathematics. He recently delivered his inaugural lecture and is pictured with Eelco Lukas, Director of the Institute for GroundwaterStudies at the UFS (middle) and Prof Hendri Kroukamp, Acting Vice-Rector: Academic

Prof Abdon Atangana, researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), recently delivered his inaugural lecture on the topic: Understanding God’s Nature with Non-Local Operators.

His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Prof Atangana is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. He has introduced more than 12 mathematical operators, most of which bear his name (such as the Atangana-Baleanu fractional integral).

He stated: “We will not stop until we change the classical view of doing mathematics. Mathematics is not a subject but a tool given to mankind by God to understand nature. One single mathematical operator cannot portray God’s nature accurately. Therefore the Atangana Baleanu was suggested.”

New weapons

Most physical problems can be expressed in terms of mathematical formulations called differential equations. According to him the differential equation’s aim is to analyse, understand, and predict the future of a physical problem. Prof Atangana introduced the Atangana-Baleanu fractional integral. This brought new weapons into applied mathematics to model complex real-world problems more accurately.

Prof Atangana explained: “The Atangana-Baleanu fractional derivative is able to describe real-world problems with different scales, or problems that change their properties during time and space for instance, the spread of cancer, the flow of water within heterogeneous aquifers, movement of pollution within fractured aquifers, and many others. This crossover behaviour is observed in many empirical systems.”

Sudden change

The Atangana-Baleanu fractional derivative is also able to describe physical or biological phenomena, such as a heart attack, the physiological progression from life to death, structural failure in an aeroplane, and many other physical occurrences with sudden change with no steady state.

The new differential and integral operators are nowadays in fashion and are being applied with great success in many fields to model complex natural phenomena. It is believed that the future of modelling complex real-world problems relies on these non-local operators.

News Archive

Nat Nakasa the inspiration behind UFS academic’s PhD thesis
2017-01-09

 Description: 001 Dr Willemien Marais Tags: 001 Dr Willemien Marais

Photo: Supplied

“I’m interested in alternative ways of approaching things, so I wanted to look at how journalism can be used in an unconventional way to contribute to a developing society.”

This is why Dr Willemien Marais, a lecturer in the Department of Communication Science at the University of the Free State (UFS), decided to title her thesis: Nat Nakasa as existential journalist, describing a form of journalism that places emphasis on the individual’s experiences.

“Existentialism is a philosophy that provides scope for an individual approach to life, and I like Nat Nakasa’s writing because of his excellent sense of humour despite his horrific circumstances as a black journalist during apartheid,” she says.

A practical approach to writing

Dr Marais analysed Nat Nakasa’s approach to journalism through articles he wrote in the early 1960s. She searched for relevant themes of existentialist philosophy in Nakasa’s work in order to prove that he could be read as an existential journalist.

She mentions that in terms of contemporary relevance, Nakasa’s approach to journalism suggests that existentialism could provide the journalist with a practical approach to writing, especially for those journalists working in developing societies.

“The relevance of this approach lies in the fact that any society is always between things – the old and the new – which might require the journalist to operate outside the boundaries of conventional journalism.”

This study was qualitative in nature because of the interpretation required. She mentions that it was basically one of many possible interpretations of Nakasa’s work; with this one using existentialism as a lens.

An intellectually stimulating thesis

Dr Marais quotes French existentialist Jean-Paul Sartre, who said that interpreting someone’s work, especially someone who was no longer alive, was open to “thousands of shimmering, iridescent, relevant meanings”, and her research represents one of these possible meanings of Nakasa’s work as a journalist.

When asked how long she had worked on her thesis, Dr Marais simply answered “too long!” She mentions that her thesis was initially more of an intellectual exercise. Whereas the actual act of writing took about four months, she spent many years thinking about the topic. “Now that all is said and done, I realise I had to grow into the topic. It took me a while to realise that true understanding does not come overnight!”

Dr Marais mentions that other than herself and the work of Nat Nakasa, there were no other roleplayers involved. “For many, many years it was just Nat Nakasa and I. It was frustrating and exhilarating all at the same time.”

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