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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

Breyten Breytenbach shares his words and philosophies
2013-03-05

 

Breyten Breytenbach
Photo: Johan Roux
02 March 2013

The Department of Philosophy at the University of the Free State (UFS) recently hosted Breyten Breytenbach as part of its Colloquium series.

In a packed Odeion theatre, Breytenbach shared his words and views relating to poetry and philosophy. The session was chaired by Prof Pieter Duvenhage from the Department of Philosophy, who noted the symbiotic relationship which exists between the two seemingly distinct disciplines.

Breytenbach is one of South Africa’s best-known literary sons, gaining worldwide recognition for his writings and poetry, as well as his political activism against the erstwhile Apartheid regime. He left the country in 1960 due to Apartheid and settled in Paris where his first collection of poetry was published in 1964. It was the beginning of a prizewinning literary career spanning multiple languages and decades.

He returned illegally in 1975 in order to agitate against the repressive National Party government, but was arrested, spending seven years in prison after being charged with terrorism.

The audience was treated to a reading from an unpublished work from Breytenbach, A letter to my daughter. The lengthy letter outlined Breytenbach's world views, his sense of the creative process, his philosophies and his takes on current and historical events.

A large part of the letter focused on the philosophical and emotional processes involved in writing.“Writing is the travelling of its own landscape; landscapes and rooms that may always have been there,” he said.

He noted that it’s not always an easy process, and that sometimes writers need to explore the abysses, which can be unnerving.

“In this regard it is important to know that emptiness exists,” he said.

He stressed his concern over some of the problems the country currently faces, especially the abuse of state institutions. He was especially worried about the abuse of power. He warned that “power has its own predatory identity,” often abused and misused by those who wield it.

Despite his misgivings, Breytenbach still retains his optimism for the country and its people. He remarked that the country and its many diverse cultures resembles a “fantastic patchwork blanket,” one that should be cherished and protected.

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