mathematics

Petru Mocanu

Petru Mocanu 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 Petru Mocanu rather than just read about it. In short: Petru T. Mocanu (1 June 1931 – 28 March 2016) was a Romanian mathematician who was elected in 2009 as a titular member of the Romanian Academy.

Key takeaways

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

Reference excerpt

Petru T. Mocanu (1 June 1931 – 28 March 2016) was a Romanian mathematician who was elected in 2009 as a titular member of the Romanian Academy. Mocanu was born in Brăila. He studied at the Nicolae Bălcescu High School in Brăila, graduating in 1950. He then went to study mathematics at Babeș-Bolyai University in Cluj-Napoca, completing his B.Sc in 1953, and his Ph.D. in 1959. His dissertation, written under the supervision of Gheorghe Călugăreanu, was titled Variational methods in the theory of univalent functions. He continued as faculty at Babeș-Bolyai University, rising to the rank of Professor in 1970. Mocanu was an invited professor at the University of Conakry in 1966–1967, and the Ohio State University in 1992.

Publications Miller, Sanford S.; Mocanu, Petru T. (2000), Differential subordinations. Theory and applications, Monographs and Textbooks in Pure and Applied Mathematics, vol. 225, New York: Marcel Dekker, Inc., ISBN 0-8247-0029-5, MR 1760285 Miller, Sanford S.; Mocanu, Petru T. (1981), "Differential subordinations and univalent functions", Michigan Mathematical Journal, 28 (2): 157–172, doi:10.1307/mmj/1029002507, MR 0616267 Mocanu, Petru T. (2011), "Injectivity conditions in the complex plane", Complex Analysis and Operator Theory, 5 (3): 759–766, doi:10.1007/s11785-010-0052-y, MR 2836321

Notes

External links math.ubbcluj.ro/~pmocanu/ Petru Mocanu at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Petru Mocanu

Start with the simplest possible case. Write down what Petru Mocanu 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 Petru Mocanu 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 Petru Mocanu 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 Petru Mocanu

In research: Petru Mocanu 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 Petru Mocanu 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: Petru Mocanu is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1931 births, 2016 deaths, Academic staff of Babeș-Bolyai University, so understanding it makes those chapters shorter.
In everyday life: Look for Petru Mocanu 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 Petru Mocanu in 20 minutes

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

Frequently asked questions

What is Petru Mocanu in simple terms?

Petru T. Mocanu (1 June 1931 – 28 March 2016) was a Romanian mathematician who was elected in 2009 as a titular member of the Romanian Academy.

Why does Petru Mocanu 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 Petru Mocanu?

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 Petru Mocanu.