astronomy

Stefan E. Warschawski

Stefan E. Warschawski is a astronomy 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 Stefan E. Warschawski rather than just read about it. In short: Stefan Emanuel "Steve" Warschawski (April 18, 1904 – May 5, 1989) was a Russian-born American mathematician, a professor and department chair at the University of Minnesota and the founder of the mathematics department at the University of California, San Diego. Early life and education Warschawski was born in Lida, now in Belarus; at the time of his birth Lida was part of the Russian Empire.

Key takeaways

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

Reference excerpt

Stefan Emanuel "Steve" Warschawski (April 18, 1904 – May 5, 1989) was a Russian-born American mathematician, a professor and department chair at the University of Minnesota and the founder of the mathematics department at the University of California, San Diego.

Early life and education Warschawski was born in Lida, now in Belarus; at the time of his birth Lida was part of the Russian Empire. His father was a Russian medical doctor, and his mother was ethnically German; the family spoke German at home. In 1915, his family moved to Königsberg, in Prussia (now Kaliningrad, Russia), the home of his mother's family. Warschawski studied at the University of Königsberg until 1926 and then moved to the University of Göttingen for his doctoral studies under the supervision of Alexander Ostrowski. Ostrowski moved to the University of Basel and Warschawski followed him there to complete his studies.

Career After receiving his Ph.D., Warschawski took a position at Göttingen in 1930 but, due to the rise of Hitler and his own Jewish ancestry, he soon moved to Utrecht University in Utrecht, Netherlands and then Columbia University in New York City. After a sequence of temporary positions, he found a permanent faculty position at Washington University in St. Louis in 1939. During World War II he moved to Brown University and then the University of Minnesota, where he remained until his 1963 move to San Diego, where he was the founding chair of the mathematics department. Warschawski stepped down as chair in 1967, and retired in 1971, but remained active in research: approximately one third of his research publications were written after his retirement. Over the course of his career, he advised 19 Ph.D. students, all but one at either Minnesota or San Diego. Vernor Vinge is among Warschawski's doctoral students.

Research Warschawski was known for his research on complex analysis and in particular on conformal maps. He also made contributions to the theory of minimal surfaces and harmonic functions. The Noshiro–Warschawski theorem is named after Warschawski and Noshiro, who discovered it independently; it states that, if f is an analytic function on the open unit disk such that the real part of its first derivative is positive, then f is one-to-one. In 1980, he solved the Visser–Ostrowski problem for derivatives of conformal mappings at the boundary.

Legacy Warschawski was honored in 1978 by the creation of the Stefan E. Warschawski Assistant Professorship at San Diego. The Stephen E. Warschawski Memorial Scholarship was also given in his name in 1999–2000 to four UCSD undergraduates as a one-time award. His wife, Ilse, died in 2009 and left a US$1 million bequest to UCSD, part of which went towards endowing a professorship in the mathematics department.

References

Worked examples

Example 1 — a first encounter with Stefan E. Warschawski

Start with the simplest possible case. Write down what Stefan E. Warschawski claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Stefan E. Warschawski 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 Stefan E. Warschawski 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 Stefan E. Warschawski

In research: Stefan E. Warschawski appears in astronomy 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 Stefan E. Warschawski 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: Stefan E. Warschawski is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1904 births, 1989 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Stefan E. Warschawski 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Stefan E. Warschawski” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Stefan E. Warschawski in 20 minutes

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

Frequently asked questions

What is Stefan E. Warschawski in simple terms?

Why does Stefan E. Warschawski matter?

Because it connects several astronomy 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 Stefan E. Warschawski?

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 Stefan E. Warschawski.