mathematics

Olga Hadžić

Olga Hadžić 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 Olga Hadžić rather than just read about it. In short: Olga Hadžić (25 August 1946 – 23 January 2019) was a Serbian mathematician known for her work on fixed-point theorems. Early life and education Hadžić was born in Novi Sad, on 25 August 1946, the daughter of lawyer Lazar Hadžić and the granddaughter of writer and physician Ilija Ognjanović.

Key takeaways

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

Reference excerpt

Olga Hadžić (25 August 1946 – 23 January 2019) was a Serbian mathematician known for her work on fixed-point theorems.

Early life and education Hadžić was born in Novi Sad, on 25 August 1946, the daughter of lawyer Lazar Hadžić and the granddaughter of writer and physician Ilija Ognjanović. She attended both the Jovan Jovanović Zmaj Gymnasium and a music school in Novi Sad. She earned a degree in mathematics at the University of Novi Sad in 1968, and continued there as an assistant, earning a master's degree through the Faculty of Natural Sciences And Mathematics at the University of Belgrade in 1970, and completing a doctorate at the University of Novi Sad in 1972. Her doctoral dissertation, Neki problemi diferencijalnog računa u lokalno konveksnim prostorima [Some problems of differential calculus in locally convex spaces], was supervised by Bogoljub Stanković. Later in life, she took up the study of tourism management and marketing, earning a master's degree in 2005 from the University of Novi Sad and a second doctorate in 2006, supervised by Jovan Romelić.

Career and later life Hadžić spent her career at the University of Novi Sad, becoming an assistant professor there in 1973, associate professor in 1977, and full professor in 1981. She became rector of the university in 1996, the first woman in Serbia to achieve this position. She was the founding editor-in-chief of the mathematics journal Univerzitet u Novom Sadu, Zbornik Radova Prirodno-Matematičkog Fakulteta, Serija za Matemati [University of Novi Sad, Review of Research, Faculty of Science, Mathematics Series], which later became the Novi Sad Journal of Mathematics, from 1971 to 1995.

Books Hadžić was the author of several books on mathematics, particularly focusing on fixed-point theorems, including:

Osnovi teorije nepokretne tačke [Foundations of fixed point theory], Institute of Mathematics, Novi Sad, 1978. Fixed point theory in topological vector spaces, Institute of Mathematics, Novi Sad, 1984. Numeričke i statističke metode u obradi eksperimentalnih podataka [Numerical and statistical methods in processing experimental data], Institute of Mathematics, Novi Sad, 1989. Fixed point theory in probabilistic metric spaces, Institute of Mathematics, Novi Sad, 1995. Fixed point theory in probabilistic metric spaces, with Endre Pap, Kluwer, 2001.

Recognition Hadžić was a member of the Serbian Academy of Sciences and Arts, elected in 1991, and also a member of the Vojvodina Academy of Sciences and Arts, elected as a corresponding member in 1984 and a regular member in 1990.

References

External links Olga Hadžić publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Olga Hadžić

Start with the simplest possible case. Write down what Olga Hadžić 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 Olga Hadžić 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 Olga Hadžić 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 Olga Hadžić

In research: Olga Hadžić 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 Olga Hadžić 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: Olga Hadžić is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1946 births, 2019 deaths, Academic staff of the University of Novi Sad, so understanding it makes those chapters shorter.
In everyday life: Look for Olga Hadžić 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 Olga Hadžić in 20 minutes

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

Frequently asked questions

What is Olga Hadžić in simple terms?

Olga Hadžić (25 August 1946 – 23 January 2019) was a Serbian mathematician known for her work on fixed-point theorems. Early life and education Hadžić was born in Novi Sad, on 25 August 1946, the daughter of lawyer Lazar Hadžić and the granddaughter of writer and physician Ilija Ognjanović.

Why does Olga Hadžić 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 Olga Hadžić?

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 Olga Hadžić.