mathematics

Rafael Artzy

Rafael Artzy 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 Rafael Artzy rather than just read about it. In short: Rafael Artzy (Hebrew: רפאל ארצי; 23 July 1912 – 22 August 2006) was an Israeli mathematician specializing in geometry. Education and emigration Artzy was born July 23, 1912, in Königsberg, Germany.

Key takeaways

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

Reference excerpt

Rafael Artzy (Hebrew: רפאל ארצי; 23 July 1912 – 22 August 2006) was an Israeli mathematician specializing in geometry.

Education and emigration Artzy was born July 23, 1912, in Königsberg, Germany. His father was Edward I. Deutschlander and his mother Ida Freudenheim. Rafael studied at Königsberg University from 1930 to 1933. He transferred to Hebrew University and obtained a master's degree in 1934. He married Elly Iwiansky on October 12, 1934. Rafael continued his studies at Hebrew University under Theodore Motzkin, obtaining a Ph.D. in 1945. Elly and Rafael raised three children: Ehud, Michal, and Barak. Ehud and Barak died before their father. Michal Artzy is emeritus professor in Marine Civilization at the University of Haifa. Rafael served as both teacher and principal of Israel High School from 1934 to 1951. He was an instructor and assistant professor at the Israel Institute of Technology from 1951 to 1956.

American tour Rafael Artzy took up a position as research associate and lecturer at University of Wisconsin, Madison in 1956. That year he also made his first of many contributions to Mathematical Reviews. Artzy became associate professor at University of North Carolina, Chapel Hill in 1960. The following year Rutgers University made him a full professor. In 1964 he was a visitor at the Institute for Advanced Study. He wrote Linear Geometry (1965) which was favorably reviewed by H. S. M. Coxeter In 1965 Artzy was at State University of New York in Buffalo. In 1967 he joined Temple University where he was for five years.

Return In 1972 Rafael Artzy returned to Israel and participated in mathematics at Technion in Haifa. He helped organize a quadrennial conference on geometry at Haifa. For instance, in March 1979 such a conference was held and the proceedings Geometry and Differential Geometry was edited by Artzy and I. Vaisman and published as Lecture Notes in Mathematics #792. In 1992 he published Geometry. An Algebraic Approach Artzy had made 224 contributions to Mathematical Reviews by his last submission in 1995.

References

Allen G. Debus editor (1968) Who’s Who in Science, Marquis Who's Who. Walter Benz (2010) Rafael Artzy (1912–2006), Mitteilungen der Mathematischen Gesellschaft in Hamburg 29:5–7.

External links Joseph Zaks (2006) Rafael Artzy from University of Haifa. Rafael Artzy at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Rafael Artzy

Start with the simplest possible case. Write down what Rafael Artzy 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 Rafael Artzy 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 Rafael Artzy 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 Rafael Artzy

In research: Rafael Artzy 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 Rafael Artzy 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: Rafael Artzy is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1912 births, 2006 deaths, 20th-century Israeli mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Rafael Artzy 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 Rafael Artzy in 20 minutes

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

Frequently asked questions

What is Rafael Artzy in simple terms?

Rafael Artzy (Hebrew: רפאל ארצי; 23 July 1912 – 22 August 2006) was an Israeli mathematician specializing in geometry. Education and emigration Artzy was born July 23, 1912, in Königsberg, Germany.

Why does Rafael Artzy 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 Rafael Artzy?

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 Rafael Artzy.