Otto E. Neugebauer
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Otto Eduard Neugebauer (May 26, 1899 – February 19, 1990) was an Austrian-American
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
and
historian of science The history of science covers the development of science from ancient times to the present. It encompasses all three major branches of science: natural, social, and formal. Science's earliest roots can be traced to Ancient Egypt and Mesopo ...
who became known for his research on the
history of astronomy Astronomy is the oldest of the natural sciences, dating back to antiquity, with its origins in the religious, mythological, cosmological, calendrical, and astrological beliefs and practices of prehistory: vestiges of these are still found i ...
and the other
exact sciences The exact sciences, sometimes called the exact mathematical sciences, are those sciences "which admit of absolute precision in their results"; especially the mathematical sciences. Examples of the exact sciences are mathematics, optics, astron ...
as they were practiced in antiquity and the
Middle Ages In the history of Europe, the Middle Ages or medieval period lasted approximately from the late 5th to the late 15th centuries, similar to the post-classical period of global history. It began with the fall of the Western Roman Empire ...
. By studying
clay tablet In the Ancient Near East, clay tablets (Akkadian ) were used as a writing medium, especially for writing in cuneiform, throughout the Bronze Age and well into the Iron Age. Cuneiform characters were imprinted on a wet clay tablet with a styl ...
s, he discovered that the ancient
Babylonia Babylonia (; Akkadian: , ''māt Akkadī'') was an ancient Akkadian-speaking state and cultural area based in the city of Babylon in central-southern Mesopotamia (present-day Iraq and parts of Syria). It emerged as an Amorite-ruled state ...
ns knew much more about mathematics and
astronomy Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest ...
than had been previously realized. The
National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the Nat ...
has called Neugebauer "the most original and productive scholar of the history of the exact sciences, perhaps of the
history of science The history of science covers the development of science from ancient times to the present. It encompasses all three major branches of science: natural, social, and formal. Science's earliest roots can be traced to Ancient Egypt and Meso ...
, of our age."


Career

Neugebauer was born in Innsbruck,
Austria Austria, , bar, Östareich officially the Republic of Austria, is a country in the southern part of Central Europe, lying in the Eastern Alps. It is a federation of nine states, one of which is the capital, Vienna, the most populous ...
. His father Rudolph Neugebauer was a railroad construction engineer and a collector and scholar of Oriental carpets. His parents died when he was quite young. During
World War I World War I (28 July 1914 11 November 1918), often abbreviated as WWI, was List of wars and anthropogenic disasters by death toll, one of the deadliest global conflicts in history. Belligerents included much of Europe, the Russian Empire, ...
, 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 Ludwig Josef Johann Wittgenstein ( ; ; 26 April 1889 – 29 April 1951) was an Austrian- British philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language. He is cons ...
. In 1919, he entered the
University of Graz The University of Graz (german: link=no, Karl-Franzens-Universität Graz, ), located in Graz, Austria, is the largest and oldest university in Styria, as well as the second-largest and second-oldest university in Austria. History The univers ...
in electrical engineering and
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which rel ...
and in 1921 he transferred to the
University of Munich The Ludwig Maximilian University of Munich (simply University of Munich or LMU; german: link=no, Ludwig-Maximilians-Universität München) is a public research university in Munich, Bavaria, Germany. Originally established as the University of ...
. From 1922 to 1924, he studied mathematics at the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded i ...
under
Richard Courant Richard Courant (January 8, 1888 – January 27, 1972) was a German American mathematician. He is best known by the general public for the book '' What is Mathematics?'', co-written with Herbert Robbins. His research focused on the areas of real ...
,
Edmund Landau Edmund Georg Hermann Landau (14 February 1877 – 19 February 1938) was a German mathematician who worked in the fields of number theory and complex analysis. Biography Edmund Landau was born to a Jewish family in Berlin. His father was Leopo ...
, and
Emmy Noether Amalie Emmy Noether Emmy is the ''Rufname'', the second of two official given names, intended for daily use. Cf. for example the résumé submitted by Noether to Erlangen University in 1907 (Erlangen University archive, ''Promotionsakt Emmy Noeth ...
. During 1924–1925, he was at the
University of Copenhagen The University of Copenhagen ( da, Københavns Universitet, KU) is a prestigious public university, public research university in Copenhagen, Copenhagen, Denmark. Founded in 1479, the University of Copenhagen is the second-oldest university in ...
, 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 The Rhind Mathematical Papyrus (RMP; also designated as papyrus British Museum 10057 and pBM 10058) is one of the best known examples of ancient Egyptian mathematics. It is named after Alexander Henry Rhind, a Scottish antiquarian, who purchased ...
. In 1927, he received his
venia legendi Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including ...
for the history of mathematics and served as
Privatdozent ''Privatdozent'' (for men) or ''Privatdozentin'' (for women), abbreviated PD, P.D. or Priv.-Doz., is an academic title conferred at some European universities, especially in German-speaking countries, to someone who holds certain formal qualific ...
. In 1927, his first paper on Babylonian mathematics was an account of the origin of the
sexagesimal Sexagesimal, also known as base 60 or sexagenary, is a numeral system with sixty as its base. It originated with the ancient Sumerians in the 3rd millennium BC, was passed down to the ancient Babylonians, and is still used—in a modified form ...
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 Moscow Mathematical Papyrus, also named the Golenishchev Mathematical Papyrus after its first non-Egyptian owner, Egyptologist Vladimir Golenishchev, is an ancient Egyptian mathematical papyrus containing several problems in arithmetic, geom ...
, the most important text for geometry. Neugebauer had worked on the Moscow Papyrus in
Leningrad Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), i ...
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 Adolf Hitler (; 20 April 188930 April 1945) was an Austrian-born German politician who was dictator of Nazi Germany, Germany from 1933 until Death of Adolf Hitler, his death in 1945. Adolf Hitler's rise to power, He rose to power as the le ...
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 The University of Copenhagen ( da, Københavns Universitet, KU) is a prestigious public university, public research university in Copenhagen, Copenhagen, Denmark. Founded in 1479, the University of Copenhagen is the second-oldest university in ...
as a full professor of mathematics. In 1936, he published a paper on the method of dating and analyzing texts using
diophantine equation In mathematics, a Diophantine equation is an equation, typically a polynomial equation in two or more unknowns with integer coefficients, such that the only solutions of interest are the integer ones. A linear Diophantine equation equates to ...
s. 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 Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly extant from the 7th century BC to the 4th century AD, around the shores of the Eastern Mediterranean. Greek math ...
. 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 Nazism ( ; german: Nazismus), the common name in English for National Socialism (german: Nationalsozialismus, ), is the far-right politics, far-right Totalitarianism, totalitarian political ideology and practices associated with Adolf Hit ...
, he moved to the United States, joined the mathematics department at Brown University, and founded ''
Mathematical Reviews ''Mathematical Reviews'' is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science. The AMS also ...
''. 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 The Henry Norris Russell Lectureship is awarded each year by the American Astronomical Society in recognition of a lifetime of excellence in astronomical research. The idea for the lectureship came from then society President Harlow Shapley in 1945, ...
by the American Astronomical Society. In 1977, he was elected to the
National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the Nat ...
, 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 The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...
in
Princeton Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the ni ...
, where he had been a member since 1950. Neugebauer was also interested in
chronology Chronology (from Latin ''chronologia'', from Ancient Greek , ''chrónos'', "time"; and , '' -logia'') is the science of arranging events in their order of occurrence in time. Consider, for example, the use of a timeline or sequence of events. ...
. 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 Easter,Traditional names for the feast in English are "Easter Day", as in the '' Book of Common Prayer''; "Easter Sunday", used by James Ussher''The Whole Works of the Most Rev. James Ussher, Volume 4'') and Samuel Pepys''The Diary of Samuel ...
from ever coinciding with
Passover Passover, also called Pesach (; ), is a major Jewish holiday that celebrates the Biblical story of the Israelites escape from slavery in Egypt, which occurs on the 15th day of the Hebrew month of Nisan, the first month of Aviv, or spring. ...
. 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 Papyrus ( ) is a material similar to thick paper that was used in ancient times as a writing surface. It was made from the pith of the papyrus plant, '' Cyperus papyrus'', a wetland sedge. ''Papyrus'' (plural: ''papyri'') can also refer to a ...
, 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 Claudius Ptolemy (; grc-gre, Πτολεμαῖος, ; la, Claudius Ptolemaeus; AD) was a mathematician, astronomer, astrologer, geographer, and music theorist, who wrote about a dozen scientific treatises, three of which were of import ...
wrote the
Almagest The ''Almagest'' is a 2nd-century Greek-language mathematical and astronomical treatise on the apparent motions of the stars and planetary paths, written by Claudius Ptolemy ( ). One of the most influential scientific texts in history, it cano ...
. 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 Synodic, may refer to: * Synodic day * Synodic month * Synodic orbital period The orbital period (also revolution period) is the amount of time a given astronomical object takes to complete one orbit around another object. In astronomy, it ...
month, from
cuneiform Cuneiform is a logo- syllabic script that was used to write several languages of the Ancient Middle East. The script was in active use from the early Bronze Age until the beginning of the Common Era. It is named for the characteristic wedg ...
tablets, to the papyrus fragment just mentioned, to the Jewish calendar, to an early 15th-century
book of hours The book of hours is a Christian devotional book used to pray the canonical hours. The use of a book of hours was especially popular in the Middle Ages and as a result, they are the most common type of surviving medieval illuminated manuscrip ...
. In 1986, Neugebauer was awarded the
Balzan Prize The International Balzan Prize Foundation awards four annual monetary prizes to people or organizations who have made outstanding achievements in the fields of humanities, natural sciences, culture, as well as for endeavours for peace and the br ...
"for his fundamental research into the exact sciences in the ancient world, in particular, on ancient Mesopotamian, Egyptian and
Greek astronomy Greek astronomy is astronomy written in the Greek language in classical antiquity. Greek astronomy is understood to include the Ancient Greek, Hellenistic, Greco-Roman, and Late Antiquity eras. It is not limited geographically to Greece or to e ...
, 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 Babylonian mathematics (also known as ''Assyro-Babylonian mathematics'') are the mathematics developed or practiced by the people of Mesopotamia, from the days of the early Sumerians to the centuries following the fall of Babylon in 539 BC. Bab ...
, 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 Egypt ( ar, مصر , ), officially the Arab Republic of Egypt, is a transcontinental country spanning the northeast corner of Africa and southwest corner of Asia via a land bridge formed by the Sinai Peninsula. It is bordered by the Med ...
, through
Greco-Roman The Greco-Roman civilization (; also Greco-Roman culture; spelled Graeco-Roman in the Commonwealth), as understood by modern scholars and writers, includes the geographical regions and countries that culturally—and so historically—were dir ...
antiquity, to India, the
Islamic world The terms Muslim world and Islamic world commonly refer to the Islamic community, which is also known as the Ummah. This consists of all those who adhere to the religious beliefs and laws of Islam or to societies in which Islam is practiced. In ...
, and Europe of the Middle Ages and the
Renaissance The Renaissance ( , ) , from , with the same meanings. is a period in European history marking the transition from the Middle Ages to modernity and covering the 15th and 16th centuries, characterized by an effort to revive and surpass id ...
. The noted physicist and astronomer Gerry Neugebauer at
Caltech The California Institute of Technology (branded as Caltech or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasional ...
was his son.


Prizes and honors

* John F. Lewis Prize (
American Philosophical Society The American Philosophical Society (APS), founded in 1743 in Philadelphia, is a scholarly organization that promotes knowledge in the sciences and humanities through research, professional meetings, publications, library resources, and communi ...
, 1952) *
Heineman Prize Heineman is a surname. Notable people with the surname include: * Benjamin W. Heineman (1914–2012), American railroad executive * Benjamin W. Heineman, Jr. (born 1944), American journalist, lawyer and business executive * Dannie Heineman (1872 ...
for the Exact Sciences, 1953 * American Council of Learned Societies' Award (1961) *
Henry Norris Russell Lectureship The Henry Norris Russell Lectureship is awarded each year by the American Astronomical Society in recognition of a lifetime of excellence in astronomical research. The idea for the lectureship came from then society President Harlow Shapley in 1945, ...
(1967) *
Austrian Decoration for Science and Art The Austrian Decoration for Science and Art (german: Österreichisches Ehrenzeichen für Wissenschaft und Kunst) is a state decoration of the Republic of Austria and forms part of the Austrian national honours system. History The "Austrian ...
(1973) * Pfizer Award (1975 and 1985;
History of Science Society The History of Science Society (HSS) is the primary professional society for the academic study of the history of science. It was founded in 1924 by George Sarton, David Eugene Smith, and Lawrence Joseph Henderson, primarily to support the publi ...
) * Distinguished Service Award, Mathematical Association of America (1979) *
Balzan Prize The International Balzan Prize Foundation awards four annual monetary prizes to people or organizations who have made outstanding achievements in the fields of humanities, natural sciences, culture, as well as for endeavours for peace and the br ...
(1986) for pioneering studies in the field of exact sciences in antiquity, especially Mesopotamian, Egyptian and Greek astronomy * Franklin Medal (
American Philosophical Society The American Philosophical Society (APS), founded in 1743 in Philadelphia, is a scholarly organization that promotes knowledge in the sciences and humanities through research, professional meetings, publications, library resources, and communi ...
, 1987) * Susan Culver Rosenberger Medal of Honor ( Brown University, 1987) * Honorary doctorates from
University of St Andrews (Aien aristeuein) , motto_lang = grc , mottoeng = Ever to ExcelorEver to be the Best , established = , type = Public research university Ancient university , endowment ...
(1938),
Princeton University Princeton University is a private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth as the College of New Jersey, Princeton is the fourth-oldest institution of higher education in the United States and one of the n ...
(1957) and Brown University (1971) * Member of various scientific academies in Vienna, Paris, Copenhagen and Brussels, the British Academy, the Irish Academy, the National Academy of Sciences, the American Philosophical Society In 1936, he gave a plenary lecture at the International Congress of Mathematicians in Oslo. This was about pre-Greek mathematics and its position relative to the Greek.


Select publications


Articles

* ‘The Chronology of the Hammurabi Age’, in ''Journal of the American Oriental Society'', vol. lxi (New Haven: Yale University Press, 1941).
"The History of Ancient Astronomy Problems and Methods."
''Journal of Near Eastern Studies'' 4 (1945): 1–38. * "Studies in Ancient Astronomy. VIII. The Water Clock in Babylonian Astronomy." Isis, Vol. 37, No. 1/2, pp. 37–43. (May, 1947). JSTOR link. Reprinted in Neugebauer (1983), pp. 239–245 (*). * "The Early History of the Astrolabe." ''Isis'' 40 (1949): 240–56. * "The Study of Wretched Subjects." ''Isis'' 42 (1951): 111. * "On the 'Hippopede' of Eudoxus." ''
Scripta Mathematica ''Scripta Mathematica'' was a quarterly journal published by Yeshiva University devoted to the philosophy, history, and expository treatment of mathematics. It was said to be, at its time, "the only mathematical magazine in the world edited by spe ...
'' 19 (1953): 225–29. * "Apollonius' Planetary Theory." '' Communications on Pure and Applied Mathematics'' 8 (1955): 641–48. * "The Equivalence of Eccentric and Epicyclic Motion According to Apollonius." ''
Scripta Mathematica ''Scripta Mathematica'' was a quarterly journal published by Yeshiva University devoted to the philosophy, history, and expository treatment of mathematics. It was said to be, at its time, "the only mathematical magazine in the world edited by spe ...
'' 24 (1959): 5–21. * "Thabit Ben Qurra 'On the Solar Year' and 'On the Motion of the Eighth Sphere.'" ''Proceedings of the American Philosophical Society'' 106 (1962): 264–98. * (with
Richard A. Parker Richard A. Parker (born 29 January 1953, in Surrey) is a mathematician and freelance computer programmer in Cambridge, England. He invented many of the algorithms for computing the modular character tables of finite simple groups. He discovered ...
) "Egyptian Astronomical Texts: III. Decans, Planets, Constellations, and Zodiacs." (Brown University Press, 1969) * "On the Allegedly Heliocentric Theory of Venus by Heraclides Ponticus." ''American Journal of Philology'' 93 (1973): 600–601. * "Notes on Autolycus." ''Centaurus'' 18 (1973): 66–69.


Books

* (with Abraham Sachs, eds.).
Mathematical Cuneiform Texts
'. American Oriental Series, vol. 29. New Haven: American Oriental Society, 1945. * ''The Exact Sciences in Antiquity''. Princeton: Princeton University Press, 1952; 2nd edition, Brown University Press, 1957; reprint, New York: Dover publications, 1969. * ''Astronomical Cuneiform Texts''. 3 volumes. London:1956; 2nd edition, New York: Springer, 1983. (Commonly abbreviated as ''ACT'') * ''The Astronomical Tables of al-Khwarizmi''. Historiskfilosofiske Skrifter undgivet af Det Kongelige Danske Videnskabernes Selskab, Bind 4, nr. 2. Copenhagen: Ejnar Munksgaard, 1962. * ''Ethiopic Astronomy and Computus''. Vienna: Verlag der Österreichischen Akademie der Wissenschaften, 1979. * ''A History of Ancient Mathematical Astronomy'', 3 vols. Berlin: Springer, 1975. (Commonly abbreviated as ''HAMA''.) * ''Astronomy and History: Selected Essays''. New York: Springer, 1983. * (with
Noel Swerdlow Noel Mark Swerdlow (9 September 1941 – 24 July 2021) was a professor emeritus of history, astronomy and astrophysics at the University of Chicago. He was a visiting professor at the California Institute of Technology. Career Swerdlow specia ...
) ''Mathematical Astronomy in Copernicus’ De Revolutionibus''. New York: Springer, 1984.


References


External links

* * *
Masters of Math, From Old Babylon (November 26, 2010 New York Times article on exhibition honoring Neugebauer)

Otto Neugebauer – Institute for Advanced Study

Before Pythagoras: The Culture of Old Babylonian Mathematics – Institute for the Study of the Ancient World, New York University
* * {{DEFAULTSORT:Neugebauer, Otto 1899 births 1990 deaths Scientists from Innsbruck 20th-century American astronomers 20th-century Austrian astronomers 20th-century Austrian mathematicians 20th-century American mathematicians 20th-century American historians 20th-century American male writers 20th-century Austrian historians American historians of mathematics Historians of antiquity Historians of science University of Graz alumni Ludwig Maximilian University of Munich alumni University of Göttingen alumni University of Copenhagen alumni Brown University faculty Austro-Hungarian military personnel of World War I Austrian prisoners of war World War I prisoners of war held by Italy Recipients of the Austrian Decoration for Science and Art Members of the United States National Academy of Sciences Corresponding Fellows of the British Academy American male non-fiction writers