mathematics

Miodrag Petković

Miodrag Petković 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 Miodrag Petković rather than just read about it. In short: Miodrag S. Petković (born 10 February 1948 in Niš, Serbia in the former Yugoslavia) is a mathematician and computer scientist.

Key takeaways

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

Reference excerpt

Miodrag S. Petković (born 10 February 1948 in Niš, Serbia in the former Yugoslavia) is a mathematician and computer scientist. In 1991 he became a full professor of mathematics at the Faculty of Electronic Engineering, University of Niš in Serbia.

Biography Petković specializes in the theory of iterative processes for solving nonlinear equations and Interval mathematics. He wrote 270 academic papers (153 in Clarivate Analytics' SCI journals) and 28 books, including four monographs Iterative Methods for Simultaneous Inclusion of Polynomial Zeros (Springer-Verlag 1989), Complex Interval Arithmetic and Its Applications (Wiley-VCH 1998), Point Estimation of Root Finding Methods (Springer-Verlag 2008), and Multipoint Methods for Solving Nonlinear Equations (Elsevier 2013). Petković papers were cited 1193 times with Hirsch index h=20, while Elsevier's Reference Manager Mendeley displays 1565 citations and h=21. He was visiting professor at the University of Oldenburg from 1989 to 2001, the Louis Pasteur University, Strasbourg (France, 1992), the University of Tsukuba (Japan, 2001), and a scientific researcher/invited lecturer at Columbia University, Harvard University, and at the universities of Freiburg, Zurich (ETH), Oldenburg, Berlin (Humboldt University), London, Sofia, Kiel, Tokyo, Tsukuba, Nagoya and Vienna. He took part at 60 conferences and congresses, and he was the invited lecturer on two world's congresses in 1992 and 1996, and several international conferences. He was a co-organizer of the international conference at the University of Kiel (Germany) 1998. Petković is an Associate Editor in Journal of Computational and Applied Mathematics and Applied Mathematics and Computation and a member of editorial board of Reliable Computing, Journal of Applied Mathematics, Journal of Mathematics and Computing Systems, Journal of Complex Analysis, Mathematical Aeterna, and Novi Sad J. Math. Petković is a member of the Serbian Scientific Society, New York Academy of Science, American Mathematical Society, GAMM, and was a member of the Serbian National Council of Science from 2010 to 2015.

Publications Publications include:

Iterative Methods for Simultaneous Inclusion of Polynomial Zeros. Lecture Notes in Mathematics. Vol. 1387. Springer-Verlag. 1989. ISBN 978-3-540-51485-5. Mathematics and Chess. Dover Publications. 1997. ISBN 0-486-29432-3. (a collection of 110 problems in algebra, geometry, and combinatorics based on the rules of the chess game – part of this book can be read on Google books) Point Estimation of Root Finding Methods. Lecture Notes in Mathematics. Vol. 1933. Springer-Verlag. 2008. ISBN 978-3-540-77850-9. Famous puzzles of great mathematicians. Providence, R.I. : American Mathematical Society. 2009. ISBN 978-0-8218-4814-2. Complex interval arithmetic and its applications. Wiley-VCH. 1998. ISBN 3-527-40134-2. (preview readable on Google books) Multipoint Methods for Solving Nonlinear Equations. Elsevier/Academic Press. 2013. ISBN 978-0-12-397013-8.

References

External links Personal website, list of Web of Science citation ResearchGate website, list of publications ResearchGate website, list of Web of Science citation Academic profile on Mendeley.com

Illustrations

Worked examples

Example 1 — a first encounter with Miodrag Petković

Start with the simplest possible case. Write down what Miodrag Petković 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 Miodrag Petković 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 Miodrag Petković 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 Miodrag Petković

In research: Miodrag Petković 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 Miodrag Petković 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: Miodrag Petković is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, Academic staff of the University of Niš, Living people, so understanding it makes those chapters shorter.
In everyday life: Look for Miodrag Petković 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 Miodrag Petković in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Miodrag Petković 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 Miodrag Petković out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Miodrag Petković in simple terms?

Miodrag S. Petković (born 10 February 1948 in Niš, Serbia in the former Yugoslavia) is a mathematician and computer scientist.

Why does Miodrag Petković 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 Miodrag Petković?

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 Miodrag Petković.