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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

Sites of memory. Sites of trauma. Sites of healing.
2015-04-01

Judge Albie Sachs – human rights activist and co-creator of South Africa’s constitution – presented the first Vice Chancellor’s Lecture on Trauma, Memory, and Representations of the Past on 26 March 2015 on the Bloemfontein Campus.

His lecture, ‘Sites of memory, sites of conscience’, forms part of a series of lectures that will focus on how the creative arts represent trauma and memory – and how these representations may ultimately pave the way to healing historical wounds. This series is incorporated into the five-year research project, led by Prof Pumla Gobodo-Madikizela, and funded by the Mellon Foundation.

Sites of memory and conscience – and healing

“Deep in solitary confinement, I read in the Bible: ‘the lion lay down with the lamb … swords will be beaten into ploughshares.’” And with these opening words, Judge Sachs took the audience on a wistful journey to the places in our country that ache from the past but are reaching for a better future at the same time.

Some of the sites of memory and conscience Judge Sachs discussed included the Apartheid Museum, Liliesleaf, District Six Museum, and the Red Location Museum. But perhaps most powerful of them all is Robben Island.

Robben Island

“The strength of Robben Island,” Judge Sachs said, “comes from its isolation. Its quietness speaks”. Former prisoners of the island now accompany visitors on their tours of the site, retelling their personal experiences. It was found that, the quieter the ex-prisoners imparted their stories, “the gentler and softer their memories; the more powerful the impact,” Judge Sachs remarked. Instead of anger and denouncement, this reverence provides a space for visitors’ own emotions to emerge. This intense and powerful site has become a living memory elevated into a place of healing.

After Judge Sachs visited the National Women’s Memorial in Bloemfontein some years ago, he came to an acute realisation as he read the stories, experienced the grief, and saw the small relics that imprisoned commandoes from Ceylon and St Helena sculpted. “It’s so like us,” he thought, “our people on Robben Island making a saxophone out of seaweed, our people carving little things. It was so like us. It was another form of inhumanity to human beings in another period.”

The Constitutional Court

The Constitutional Court next to the Old Fort Prison is also a profound site of trauma and healing. Bricks from the awaiting trial lock-up were built into the court chambers. “We don’t suppress it, we don’t say let’s move on. We acknowledge the pain of the past. We live in it, but we are not trapped in it. We South Africans are capable of transcending, of getting beyond it,” Judge Sachs said.

Transforming swords into ploughshares

Judge Sachs had great praise for Prof Gobodo-Madikizela’s research project on Trauma, Memory, and Representations of the Past. “You convert and transform the very swords, the very instruments, the very metal in our country. In a sense, you almost transform the very people and thoughts and dreams and fears and terrors into the ploughshares; into positivity.”

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