ArticleslgStudy

mathematics

Otto E. Neugebauer

Otto E. Neugebauer 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 Otto E. Neugebauer rather than just read about it. In short: Otto Eduard Neugebauer (May 26, 1899 – February 19, 1990) was an Austrian-American mathematician and historian of science who became known for his research on the history of astronomy and the other exact sciences as they were practiced in antiquity and the Middle Ages. By studying clay tablets, he discovered that the ancient Babylonians knew much more about mathematics and astronomy than had been previously realized.

Otto E. Neugebauer — main illustration
Otto E. Neugebauer — illustration

Key takeaways

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

Reference excerpt

Otto Eduard Neugebauer (May 26, 1899 – February 19, 1990) was an Austrian-American mathematician and historian of science who became known for his research on the history of astronomy and the other exact sciences as they were practiced in antiquity and the Middle Ages. By studying clay tablets, he discovered that the ancient Babylonians knew much more about mathematics and astronomy than had been previously realized. The National Academy of Sciences has called Neugebauer "the most original and productive scholar of the history of the exact sciences, perhaps of the history of science, of our age."

Career Neugebauer was born in Innsbruck, Austria. His father Rudolph Neugebauer was a railroad construction engineer and a collector and scholar of Oriental carpets. His parents died during his early childhood. During World War I, Neugebauer enlisted in the Austrian Army and served as an artillery lieutenant on the Italian front and then in an Italian prisoner-of-war camp alongside fellow countryman Ludwig Wittgenstein. In 1919, he entered the University of Graz in electrical engineering and physics and in 1921 he transferred to the Ludwig-Maximilians-Universität München. From 1922 to 1924, he studied mathematics at the University of Göttingen under Richard Courant, Edmund Landau, and Emmy Noether. During 1924–1925, he was at the University of Copenhagen, where his interests changed to the history of Egyptian mathematics. He returned to Göttingen and remained there until 1933. His thesis Die Grundlagen der ägyptischen Bruchrechnung ("The Fundamentals of Egyptian Calculation with Fractions") (Springer, 1926) was a mathematical analysis of the table in the Rhind Papyrus. In 1927, he received his venia legendi for the history of mathematics and served as Privatdozent. In 1927, his first paper on Babylonian mathematics was an account of the origin of the sexagesimal system. In 1929, Neugebauer founded Quellen und Studien zur Geschichte der Mathematik, Astronomie und Physik (QS), a Springer series devoted to the history of the mathematical sciences, in which he published extended papers on Egyptian computational techniques in arithmetic and geometry, including the Moscow Papyrus, the most important text for geometry. Neugebauer had worked on the Moscow Papyrus in Leningrad in 1928. In 1931, he founded the review journal Zentralblatt für Mathematik und ihre Grenzgebiete (Zbl), his most important contribution to modern mathematics. When Adolf Hitler became chancellor in 1933, Neugebauer was asked to sign an oath of loyalty to the new German government, but he refused and was promptly suspended from employment. In 1934, he joined the University of Copenhagen as a full professor of mathematics. In 1936, he published a paper on the method of dating and analyzing texts using diophantine equations. During 1935–1937, he published a corpus of texts named Mathematische Keilschrift-Texte (MKT). MKT was a colossal work, in size, detail, and depth, and its contents showed that Babylonian mathematics far surpassed anything one could imagine from a knowledge of Egyptian and Greek mathematics. He was an Invited Speaker of the ICM in 1928 in Bologna and a Plenary Speaker of the ICM in 1936 in Oslo. In 1939, after the Zentralblatt was taken over by the Nazis, he moved to the United States, joined the mathematics department at Brown University, and founded Mathematical Reviews. He became an American citizen and remained at Brown for most of his career, founding the History of Mathematics Department there in 1947 and becoming University Professor. Jointly with the American Assyriologist Abraham Sachs, he published Mathematical Cuneiform Texts in 1945, which has remained a standard English-language work on Babylonian mathematics. In 1967, he was awarded the Henry Norris Russell Lectureship by the American Astronomical Society. In 1977, he was elected to the National Academy of Sciences, and in 1979, he received the Award for Distinguished Service to Mathematics from the Mathematical Association of America. In 1984, he moved to the Institute for Advanced Study in Princeton, where he had been a member since 1950. Neugebauer was also interested in chronology. He was able to reconstruct the Alexandrian Christian calendar and its origin from the Alexandrian Jewish calendar as of about the 4th century, at least 200 years prior to any other source for either calendar. Thus, the Jewish calendar was derived by combining the 19-year cycle using the Alexandrian year with the seven-day week, and was then slightly modified by the Christians to prevent Easter from ever coinciding with Passover. The ecclesiastical calendar, considered by church historians to be highly scientific and deeply complex, turned out to be quite simple. In 1988, by studying a scrap of Greek papyrus, Neugebauer discovered the most important single piece of evidence to date for the extensive transmission of Babylonian astronomy to the Greeks and for the continuing use of Babylonian methods for 400 years even after Ptolemy wrote the Almagest. His last paper, "From Assyriology to Renaissance Art", published in 1989, detailed the history of a single astronomical parameter, the mean length of the synodic month, from cuneiform tablets, to the papyrus fragment just mentioned, to the Jewish calendar, to an early 15th-century book of hours. In 1986, Neugebauer was awarded the Balzan Prize "for his fundamental research into the exact sciences in the ancient world, in particular, on ancient Mesopotamian, Egyptian and Greek astronomy, which has put our understanding of ancient science on a new footing and illuminated its transmission to the classical and medieval worlds. For his outstanding success in promoting interest and further research in the history of science" (Motivation of the Balzan General Prize Committee). Neugebauer donated the prize money of 250,000 Swiss francs to the Institute for Advanced Study. Neugebauer began his career as a mathematician, then turned to Egyptian and Babylonian mathematics, and then took up the history of mathematical astronomy. In a career which spanned sixty-five years, he largely created modern understanding of mathematical astronomy in Babylon and Egypt, through Greco-Roman antiquity, to India, the Islamic world, and Europe of the Middle Ages and the Renaissance. The noted physicist and astronomer Gerry Neugebauer at Caltech was his son.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Otto E. Neugebauer

Start with the simplest possible case. Write down what Otto E. Neugebauer 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 Otto E. Neugebauer 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 Otto E. Neugebauer 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 Otto E. Neugebauer

In research
Otto E. Neugebauer 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 Otto E. Neugebauer 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
Otto E. Neugebauer is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1899 births, 1990 deaths, 20th-century American astronomers, so understanding it makes those chapters shorter.
In everyday life
Look for Otto E. Neugebauer 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 “Otto E. Neugebauer” →

Affiliate

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

How to study Otto E. Neugebauer in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Otto E. Neugebauer means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Otto E. Neugebauer out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Otto E. Neugebauer in simple terms?

Otto Eduard Neugebauer (May 26, 1899 – February 19, 1990) was an Austrian-American mathematician and historian of science who became known for his research on the history of astronomy and the other exact sciences as they were practiced in antiquity and the Middle Ages. By studying clay tablets, he…

Why does Otto E. Neugebauer 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 Otto E. Neugebauer?

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 Otto E. Neugebauer.

Tags

  • 1899 births
  • 1990 deaths
  • 20th-century American astronomers
  • 20th-century American historians
  • 20th-century American male writers
  • 20th-century American mathematicians
  • 20th-century Austrian astronomers
  • 20th-century Austrian historians
  • 20th-century Austrian mathematicians
  • American historians of mathematics
  • American male non-fiction writers
  • Austro-Hungarian military personnel of World War I

Keep exploring