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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

Mineral named after UFS professor
2017-09-29

Description: Mineral tredoux Tags: International Mineralogical Association, tredouxite, Prof Marian Tredoux, Department of Geology, Barberton 

Tredouxite (white) intergrown with bottinoite (light grey),
a complex hydrous alteration product. The large host
minerals are nickel-rich silicate (grey), maybe willemseite,
and the spinel trevorite (dark grey).


More than five thousand minerals have been certified by the International Mineralogical Association (IMA). One of these minerals, tredouxite, was recently named after an academic at the University of the Free State (UFS). 

Tredouxite was named after Prof Marian Tredoux, an associate professor in the Department of Geology, to acknowledge her close to 30 years’ commitment to figuring out the geological history of the rock in which this mineral occurs. The name was chosen by the team which identified the new mineral, consisting of Dr Federica Zaccarini and Prof. Giorgio Garuti from the University of Leoben, Austria, Prof. Luca Bindi from the University of Florence, Italy, and Prof. Duncan Miller from the UFS. 

They found the mineral in the abovementioned rock from the Barberton region in Mpumalanga, in May 2017.

In the past, a mineral was also named after Marie Curie
With the exception of a few historical (pre-1800) names, a mineral is typically named either after the area where it was first found, or after its chemical composition or physical properties, or after a person. If named after a person, it has to be someone who had nothing to do with finding the mineral.

Prof Tredoux said: “As of 19 September 2017, 5292 minerals had been certified by IMA. Of these, 81 were named after women, either singly or with a near relation. Marie Curie is named twice: sklodowskite (herself) and curite (plus husband). Most of the named women are Russian geoscientists.”

Another way to assess the rarity of such a naming is to consider that fewer than 700 minerals have been named after people. Given that there are by now seven billion people on the planet, it means that a person who is granted a mineral name becomes one in 10 million of the people alive today to be honoured in such a way. To date, over a dozen minerals had been named after South Africans, three of them after women (including tredouxite).

It contains nickel, antimony and oxygen
The chemical composition of tredouxite is NiSb2O6 (nickel antimony oxide). This makes it the nickel equivalent of the magnesium mineral bystromite (MgSb2O6), described in the 1950s from the La Fortuna antimony mine in Mexico.  

“This announcement is of great academic importance: the discovery by the Italian team of a phase with that specific chemical composition will undoubtedly help me and my co-workers to better understand the origin of the rock itself,” she said. She also expressed the hope that it may raise interest in the Department of Geology and the UFS as a whole, by highlighting that world-class research is being done at the department. 

The announcement of this new mineral was published on the International Mineralogical Association Commission on New Minerals, Nomenclature and Classification website, the Mineralogical Magazine and the European Journal of Mineralogy.

 

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