mathematics

Jacek Banasiak

Jacek Banasiak is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Jacek Banasiak rather than just read about it. In short: Jacek Banasiak (born 15 March 1959) is a Polish mathematician who is a Professor and South African Research Chair in Mathematical Models and Methods in Biosciences and Bioengineering at the University of Pretoria, South Africa. Early life and education Jacek Banasiak was born on 15 March 1959 in Łódź, Poland.

Key takeaways

Jacek Banasiak belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Jacek Banasiak to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Jacek Banasiak from memory before moving on to harder problems.

Reference excerpt

Jacek Banasiak (born 15 March 1959) is a Polish mathematician who is a Professor and South African Research Chair in Mathematical Models and Methods in Biosciences and Bioengineering at the University of Pretoria, South Africa.

Early life and education Jacek Banasiak was born on 15 March 1959 in Łódź, Poland. He obtained a Master of Science (MSc) in Math from the Łódź University of Technology in 1981, and Doctor of Philosophy (PhD) in mathematics on 15 March 1989 from the University of Strathclyde, Scotland. He was hablitated (PD) in Physics on 17 June 1999 from the Faculty of Mathematics, Informatics and Mechanics, University of Warsaw with a thesis titled Singularly Perturbed Evolution Equations with Applications in Kinetic Theory and Other Branches of Mathematical Physics.

Career and research Banasiak became a professor on 21 December 2007, and has been a Professor of Mathematical Sciences at the University of KwaZulu-Natal from 2011 until 2015. After, he joined the University of Pretoria and became the South African Research Chair in Mathematical Models and Methods in Biosciences and Bioengineering at the Department of Mathematics and Applied Mathematics, extraordinary professor at the Łódź University of Technology, and a visiting professor of Mathematics and Statistics at the Strathclyde University. Banasiak research focuses on applied mathematics especially semigroup theory, asymptotic analysis, mathematical biology, fragmentations coagulation equations, and difference and differential equations. Banasiak served as the vice president of the South African Mathematical Society (2001–2005). He is a member of the Academy of Science of South Africa and the African Institute for Mathematical Sciences (AIMS). He is also the Editor-in-Chief of Afrika Matematika since 2010, Associate Editor of Quaestiones Mathematicae and Evolution Equations and Control Theory (EECT), and a member of the Editorial Board of Mathematical Methods for the Applied Sciences and Differential Equations and Dynamical Systems.

Awards and honours In 2012, Banasiak won the South African Mathematical Society (SAMS) award for Research Distinction. In 2014, he was honoured with the Polish Cross of Merit (Silver) for his contributions to science. Banasiak was elected a Fellow of the African Academy of Sciences in 2016.

Selected publications Banasiak, J.; Arlotti, Luisa (2006). Perturbations of positive semigroups with applications. London: Springer. ISBN 978-1-85233-993-7. OCLC 67766114. Banasiak, Jacek; Lachowicz, Mirosław (2014). "Methods of Small Parameter in Mathematical Biology". Modeling and Simulation in Science, Engineering and Technology. Cham: Springer International Publishing. doi:10.1007/978-3-319-05140-6. ISBN 978-3-319-05139-0. ISSN 2164-3679. Banasiak, Jacek; Mika, Janusz R. (1998-01-01). "Singularly perturbed telegraph equations with applications in the random walk theory". Journal of Applied Mathematics and Stochastic Analysis. 11 (1). Hindawi Limited: 9–28. doi:10.1155/s1048953398000021. ISSN 1048-9533. Mika, J. R.; Banasiak, J. (1995). Singularly perturbed evolution equations with applications to kinetic theory. Singapore: World Scientific. ISBN 981-02-2125-8. OCLC 32746102. Banasiak, J.; Lamb, Wilson; Laurençot, Philippe (2020). Analytic methods for coagulation-fragmentation models. Volume II. Boca Raton, FL. ISBN 978-0-429-28032-0. OCLC 1119391451.{{cite book}}: CS1 maint: location missing publisher (link)

References

External links Explicit solutions of fragmentation models with growth or decay, Professor Jacek Banasiak on YouTube

Worked examples

Example 1 — a first encounter with Jacek Banasiak

Start with the simplest possible case. Write down what Jacek Banasiak claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Jacek Banasiak before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Jacek Banasiak ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Jacek Banasiak

In research: Jacek Banasiak appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Jacek Banasiak in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Jacek Banasiak is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1959 births, Alumni of the University of Strathclyde, Fellows of the African Academy of Sciences, so understanding it makes those chapters shorter.
In everyday life: Look for Jacek Banasiak outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Jacek Banasiak in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Jacek Banasiak means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Jacek Banasiak out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Jacek Banasiak in simple terms?

Why does Jacek Banasiak matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Jacek Banasiak?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Jacek Banasiak.