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Carsten Niebuhr, or Karsten Niebuhr (17 March 1733 Lüdingworth – 26 April 1815 Meldorf,
Dithmarschen Dithmarschen (, Low Saxon: ; archaic English: ''Ditmarsh''; da, Ditmarsken; la, label=Medieval Latin, Tedmarsgo) is a district in Schleswig-Holstein, Germany. It is bounded by (from the north and clockwise) the districts of Nordfriesland, Schle ...
), was a German
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 ...
,
cartographer Cartography (; from grc, χάρτης , "papyrus, sheet of paper, map"; and , "write") is the study and practice of making and using maps. Combining science, aesthetics and technique, cartography builds on the premise that reality (or an i ...
, and
explorer Exploration refers to the historical practice of discovering remote lands. It is studied by geographers and historians. Two major eras of exploration occurred in human history: one of convergence, and one of divergence. The first, covering most ...
in the service of
Denmark ) , song = ( en, "King Christian stood by the lofty mast") , song_type = National and royal anthem , image_map = EU-Denmark.svg , map_caption = , subdivision_type = Sovereign state , subdivision_name = Kingdom of Denmark , establishe ...
. He is renowned for his participation in the Royal Danish Arabia Expedition (1761-1767). He was the father of the Danish-German statesman and historian Barthold Georg Niebuhr, who published an account of his father's life in 1817.


Early life and education

Niebuhr was born in Lüdingworth (now a part of
Cuxhaven Cuxhaven (; ) is an independent town and seat of the Cuxhaven district, in Lower Saxony, Germany. The town includes the northernmost point of Lower Saxony. It is situated on the shore of the North Sea at the mouth of the Elbe River. Cuxhaven has a ...
,
Lower Saxony Lower Saxony (german: Niedersachsen ; nds, Neddersassen; stq, Läichsaksen) is a German state (') in northwestern Germany. It is the second-largest state by land area, with , and fourth-largest in population (8 million in 2021) among the 16 ...
) in what was then
Bremen-Verden ), which is a public-law corporation established in 1865 succeeding the estates of the Prince-Archbishopric of Bremen (established in 1397), now providing the local fire insurance in the shown area and supporting with its surplusses cultural effor ...
. His father Barthold Niebuhr (1704-1749) was a successful
farmer A farmer is a person engaged in agriculture, raising living organisms for food or raw materials. The term usually applies to people who do some combination of raising field crops, orchards, vineyards, poultry, or other livestock. A farmer mig ...
and owned his own property. Carsten and his sister were educated at home by a local school teacher, then he attended the Latin School in Otterndorf, near
Cuxhaven Cuxhaven (; ) is an independent town and seat of the Cuxhaven district, in Lower Saxony, Germany. The town includes the northernmost point of Lower Saxony. It is situated on the shore of the North Sea at the mouth of the Elbe River. Cuxhaven has a ...
. Originally Niebuhr had intended to become a surveyor, but in 1757 he went to the ''Georgia Augusta''
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 ...
, at this time Germany's most progressive institution of higher education. Niebuhr was probably a bright student because in 1760 Johann David Michaelis (1717-1791) recommended him as a participant in the Royal Danish Arabia Expedition (1761-1767), mounted by
Frederick V of Denmark Frederick V ( Danish and Norwegian: ''Frederik V''; 31 March 1723 – 14 January 1766) was King of Denmark–Norway and Duke of Schleswig-Holstein from 6 August 1746 until his death in 1766. He was the son of Christian VI of Denmark and Sophi ...
(1722–1766). For a year and a half before the expedition Niebuhr studied mathematics, cartography and navigational astronomy under Tobias Mayer (1723–1762), one of the premier astronomers of the 18th century, and the author of the Lunar Distance Method for determining longitude. Niebuhr's observations during the Arabia Expedition proved the accuracy and the practicality of this method for use by mariners at sea.


Expeditions

The expedition sailed in January 1761 via Marseilles and Malta to
Istanbul Istanbul ( , ; tr, İstanbul ), formerly known as Constantinople ( grc-gre, Κωνσταντινούπολις; la, Constantinopolis), is the List of largest cities and towns in Turkey, largest city in Turkey, serving as the country's economic, ...
and
Alexandria Alexandria ( or ; ar, ٱلْإِسْكَنْدَرِيَّةُ ; grc-gre, Αλεξάνδρεια, Alexándria) is the second largest city in Egypt, and the largest city on the Mediterranean coast. Founded in by Alexander the Great, Alexandr ...
. Then the members of the expedition visited
Cairo Cairo ( ; ar, القاهرة, al-Qāhirah, ) is the capital of Egypt and its largest city, home to 10 million people. It is also part of the largest urban agglomeration in Africa, the Arab world and the Middle East: The Greater Cairo met ...
and Sinai, before traversing the
Red Sea The Red Sea ( ar, البحر الأحمر - بحر القلزم, translit=Modern: al-Baḥr al-ʾAḥmar, Medieval: Baḥr al-Qulzum; or ; Coptic: ⲫⲓⲟⲙ ⲛ̀ϩⲁϩ ''Phiom Enhah'' or ⲫⲓⲟⲙ ⲛ̀ϣⲁⲣⲓ ''Phiom ǹšari''; ...
via Jiddah to
Yemen Yemen (; ar, ٱلْيَمَن, al-Yaman), officially the Republic of Yemen,, ) is a country in Western Asia. It is situated on the southern end of the Arabian Peninsula, and borders Saudi Arabia to the north and Oman to the northeast an ...
, which was their main destination. In Mocha, on 25 May 1763, the expedition's philologist, Frederik Christian von Haven, died, and on 11 July 1763, on the way to Sanaʽa, the capital of Yemen, its naturalist
Peter Forsskål Peter Forsskål, sometimes spelled Pehr Forsskål, Peter Forskaol, Petrus Forskål or Pehr Forsskåhl (11 January 1732 – 11 July 1763) was a Swedish-speaking Finnish explorer, orientalist, naturalist, and an apostle of Carl Linnaeus. Early ...
also died. In Sanaʽa the remaining members of the expedition had an audience with the Imam of Yemen al-Mahdi Abbas (1719–1775), but suffered from the climate and returned to Mocha. Niebuhr seems to have preserved his own life and restored his health by adopting native dress and eating native food. From Mocha the expedition continued to
Bombay Mumbai (, ; also known as Bombay — the official name until 1995) is the capital city of the Indian state of Maharashtra and the '' de facto'' financial centre of India. According to the United Nations, as of 2018, Mumbai is the sec ...
, the expedition's artist Georg Wilhelm Baurenfeind died on the 29th of August and the expedition's servant Lars Berggren on the following day; both were buried at sea. The surgeon Christian C. Kramer (1732–1763) also died, soon after landing in Bombay. Niebuhr was the only surviving member. He stayed in Bombay for fourteen months and then returned home by way of Muscat, Bushire,
Shiraz Shiraz (; fa, شیراز, Širâz ) is the fifth-most-populous city of Iran and the capital of Fars Province, which has been historically known as Pars () and Persis. As of the 2016 national census, the population of the city was 1,565,572 ...
and
Persepolis , native_name_lang = , alternate_name = , image = Gate of All Nations, Persepolis.jpg , image_size = , alt = , caption = Ruins of the Gate of All Nations, Persepolis. , map = , map_type ...
. His copies of the cuneiform inscriptions at Persepolis proved to be a key turning-point in the decipherment of cuneiform, and the birth of
Assyriology Assyriology (from Greek , ''Assyriā''; and , '' -logia'') is the archaeological, anthropological, and linguistic study of Assyria and the rest of ancient Mesopotamia (a region that encompassed what is now modern Iraq, northeastern Syria, southe ...
. His transcriptions were especially useful to Georg Friedrich Grotefend, who made the first correct decipherments of
Old Persian cuneiform Old Persian cuneiform is a semi-alphabetic cuneiform script that was the primary script for Old Persian. Texts written in this cuneiform have been found in Iran (Persepolis, Susa, Hamadan, Kharg Island), Armenia, Romania (Gherla), Turkey (Van Fort ...
: File:Niebuhr inscription 1.jpg, Niebuhr inscription 1. Now known to mean "Darius the Great King, King of Kings, King of countries, son of Hystaspes, an Achaemenian, who built this Palace". File:Niebuhr inscription 2.jpg, Niebuhr inscription 2. Now known to mean "Xerxes the Great King, King of Kings, son of Darius the King, an Achaemenian". He also visited the ruins of Babylon (making many important sketches),
Baghdad Baghdad (; ar, بَغْدَاد , ) is the capital of Iraq and the second-largest city in the Arab world after Cairo. It is located on the Tigris near the ruins of the ancient city of Babylon and the Sassanid Persian capital of Ctesipho ...
,
Mosul Mosul ( ar, الموصل, al-Mawṣil, ku, مووسڵ, translit=Mûsil, Turkish: ''Musul'', syr, ܡܘܨܠ, Māwṣil) is a major city in northern Iraq, serving as the capital of Nineveh Governorate. The city is considered the second large ...
and Aleppo. He seems also to have visited the Behistun Inscription in around 1764. After a visit to
Cyprus Cyprus ; tr, Kıbrıs (), officially the Republic of Cyprus,, , lit: Republic of Cyprus is an island country located south of the Anatolian Peninsula in the eastern Mediterranean Sea. Its continental position is disputed; while it is ...
he made a tour through Palestine, crossed the
Taurus Mountains The Taurus Mountains (Turkish language, Turkish: ''Toros Dağları'' or ''Toroslar'') are a mountain range, mountain complex in southern Turkey, separating the Mediterranean Region, Turkey, Mediterranean coastal region from the central Anatolia# ...
to
Bursa ( grc-gre, Προῦσα, Proûsa, Latin: Prusa, ota, بورسه, Arabic:بورصة) is a city in northwestern Turkey and the administrative center of Bursa Province. The fourth-most populous city in Turkey and second-most populous in t ...
, reached
Constantinople la, Constantinopolis ota, قسطنطينيه , alternate_name = Byzantion (earlier Greek name), Nova Roma ("New Rome"), Miklagard/Miklagarth ( Old Norse), Tsargrad ( Slavic), Qustantiniya (Arabic), Basileuousa ("Queen of Cities"), Megalopolis ( ...
in February 1767 and finally arrived in
Copenhagen Copenhagen ( or .; da, København ) is the capital and most populous city of Denmark, with a proper population of around 815.000 in the last quarter of 2022; and some 1.370,000 in the urban area; and the wider Copenhagen metropolitan ar ...
in the following November. Niebuhr's production during the expedition is indeed impressive. It includes small-scale maps and charts of
Yemen Yemen (; ar, ٱلْيَمَن, al-Yaman), officially the Republic of Yemen,, ) is a country in Western Asia. It is situated on the southern end of the Arabian Peninsula, and borders Saudi Arabia to the north and Oman to the northeast an ...
, the
Red Sea The Red Sea ( ar, البحر الأحمر - بحر القلزم, translit=Modern: al-Baḥr al-ʾAḥmar, Medieval: Baḥr al-Qulzum; or ; Coptic: ⲫⲓⲟⲙ ⲛ̀ϩⲁϩ ''Phiom Enhah'' or ⲫⲓⲟⲙ ⲛ̀ϣⲁⲣⲓ ''Phiom ǹšari''; ...
, the
Persian Gulf The Persian Gulf ( fa, خلیج فارس, translit=xalij-e fârs, lit=Gulf of Fars, ), sometimes called the ( ar, اَلْخَلِيْجُ ٱلْعَرَبِيُّ, Al-Khalīj al-ˁArabī), is a mediterranean sea in Western Asia. The bo ...
and
Oman Oman ( ; ar, عُمَان ' ), officially the Sultanate of Oman ( ar, سلْطنةُ عُمان ), is an Arabian country located in southwestern Asia. It is situated on the southeastern coast of the Arabian Peninsula, and spans the mouth of ...
, and other larger scale maps covering the
Nile Delta The Nile Delta ( ar, دلتا النيل, or simply , is the delta formed in Lower Egypt where the Nile River spreads out and drains into the Mediterranean Sea. It is one of the world's largest river deltas—from Alexandria in the west to ...
, the
Gulf of Suez The Gulf of Suez ( ar, خليج السويس, khalīǧ as-suwais; formerly , ', "Sea of Calm") is a gulf at the northern end of the Red Sea, to the west of the Sinai Peninsula. Situated to the east of the Sinai Peninsula is the smaller Gulf o ...
and the regions surrounding various port cities he visited, including Mocha and
Surat Surat is a city in the western Indian state of Gujarat. The word Surat literally means ''face'' in Gujarati and Hindi. Located on the banks of the river Tapti near its confluence with the Arabian Sea, it used to be a large seaport. It is no ...
. He completed 28 town plans of significant historical value because of their uniqueness for that period. In summary, Niebuhr's maps, charts and plans constitute the greatest single addition to the cartography of the region that was produced through field research and published in the 18th century. Baack, Lawrence J. ''Undying curiosity. Carsten Niebuhr and the Royal Danish Expedition to Arabia (1761-1767)''. Stuttgart, 2014


Family and later career

In 1773 Niebuhr married Christiane Sophia Blumenberg, the daughter of the crown physician, and for some years he held a post in the Danish military service, which enabled him to remain in
Copenhagen Copenhagen ( or .; da, København ) is the capital and most populous city of Denmark, with a proper population of around 815.000 in the last quarter of 2022; and some 1.370,000 in the urban area; and the wider Copenhagen metropolitan ar ...
. In 1776 he was elected a foreign member of the Royal Swedish Academy of Sciences. In 1778 he accepted a position in the civil service of Danish
Holstein Holstein (; nds, label= Northern Low Saxon, Holsteen; da, Holsten; Latin and historical en, Holsatia, italic=yes) is the region between the rivers Elbe and Eider. It is the southern half of Schleswig-Holstein, the northernmost state of Germ ...
, and went to reside at Meldorf (
Ditmarschen Dithmarschen (, Low Saxon: ; archaic English: ''Ditmarsh''; da, Ditmarsken; la, label=Medieval Latin, Tedmarsgo) is a district in Schleswig-Holstein, Germany. It is bounded by (from the north and clockwise) the districts of Nordfriesland, Schle ...
). In 1806 he was promoted to ''Etatsrat'', and in 1809 was made a Knight of the
Order of the Dannebrog The Order of the Dannebrog ( da, Dannebrogordenen) is a Danish order of chivalry instituted in 1671 by Christian V. Until 1808, membership in the order was limited to fifty members of noble or royal rank, who formed a single class known ...
, one of
Denmark ) , song = ( en, "King Christian stood by the lofty mast") , song_type = National and royal anthem , image_map = EU-Denmark.svg , map_caption = , subdivision_type = Sovereign state , subdivision_name = Kingdom of Denmark , establishe ...
-
Norway Norway, officially the Kingdom of Norway, is a Nordic country in Northern Europe, the mainland territory of which comprises the western and northernmost portion of the Scandinavian Peninsula. The remote Arctic island of Jan Mayen and t ...
's most valued honours for service.


Writing and research

Niebuhr's first book, ''Beschreibung von Arabien'', was published in Copenhagen in 1772, the Danish government providing subsidies for the engraving and printing of its numerous illustrations. This was followed in 1774 and 1778 by the first two volumes of Niebuhr's ''Reisebeschreibung nach Arabien und andern umliegender Ländern''. These works (particularly the one published in 1778), and most specifically the accurate copies of the cuneiform inscriptions found at Persepolis, were to prove to be extremely important to the decipherment of cuneiform writing. Before Niebuhr's publication, cuneiform inscriptions were often thought to be merely decorations and embellishments, and no accurate decipherments or translations had been made up to that point. Niebuhr demonstrated that the three trilingual inscriptions found at Persepolis were in fact three distinct forms of cuneiform writing (which he termed Class I, Class II, and Class III) to be read from left to right. His accurate copies of the trilingual inscriptions gave Orientalists the key to finally crack the cuneiform code, leading to the discovery of Old Persian, Akkadian, and Sumerian.Kramer,Samuel Noah. The Sumerians: Their History, Culture and Character. University of Chicago Press, 1963 The third volume of the Reisebeschreibung, also based on materials from the expedition, was not published till 1837, long after Niebuhr's death, under the editorship of his daughter and his assistant, Johan Nicolaus Gloyer. Niebuhr also contributed papers on the interior of
Africa Africa is the world's second-largest and second-most populous continent, after Asia in both cases. At about 30.3 million km2 (11.7 million square miles) including adjacent islands, it covers 6% of Earth's total surface area ...
, the political and military condition of the
Ottoman Empire The Ottoman Empire, * ; is an archaic version. The definite article forms and were synonymous * and el, Оθωμανική Αυτοκρατορία, Othōmanikē Avtokratoria, label=none * info page on book at Martin Luther University) ...
, and other subjects to a German periodical, the ''
Deutsches Museum The Deutsches Museum (''German Museum'', officially (English: ''German Museum of Masterpieces of Science and Technology'')) in Munich, Germany, is the world's largest museum of science and technology, with about 28,000 exhibited objects from ...
''. In addition, he edited and published the work of his friend Peter Forsskål, the naturalist on the Arabian expedition, under the titles ''Descriptiones animalium, Flora Aegyptiaco-Arabica'' and ''Icones rerum naturalium'' (Copenhagen, 1775 and 1776).
French French (french: français(e), link=no) may refer to: * Something of, from, or related to France ** French language, which originated in France, and its various dialects and accents ** French people, a nation and ethnic group identified with Franc ...
and Dutch translations of Niebuhr's narratives were published during his lifetime, and a condensed English translation of his own three volumes, prepared by Robert Heron, was published in Edinburgh in 1792, under the title "Travels through Arabia". A facsimile edition of this translation, as by "M. Niebuhr", was published in two volumes by the Libraire du Liban, Beirut (undated). The government funds covered only a fraction of the printing costs for Niebuhr's first book, and probably a similar or smaller proportion of the costs for the other two volumes. To ensure that the volumes were published, Niebuhr had to pay over 80% of the costs himself. In all, Niebuhr devoted ten years of his life, the years 1768-1778, to the publication of six volumes of findings from the expedition. He had virtually no help from the academics who had conceived and shaped the expedition in
Göttingen Göttingen (, , ; nds, Chöttingen) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. At the end of 2019, t ...
and
Copenhagen Copenhagen ( or .; da, København ) is the capital and most populous city of Denmark, with a proper population of around 815.000 in the last quarter of 2022; and some 1.370,000 in the urban area; and the wider Copenhagen metropolitan ar ...
. It was only Niebuhr's determination to publish the findings of the expedition that ensured that the Danish Arabia Expedition would produce results that would benefit the world of scholarship.


Death and legacy

Niebuhr died in Meldorf in 1815.
Johann Wolfgang von Goethe Johann Wolfgang von Goethe (28 August 1749 – 22 March 1832) was a German poet, playwright, novelist, scientist, statesman, theatre director, and critic. His works include plays, poetry, literature, and aesthetic criticism, as well as tr ...
(1749-1832) highly prized Niebuhr's works. In 1811 he wrote to Niebuhr's son, Barthold Georg Niebuhr, that "You carry a name which I have learned to honour since my youth." Carsten Niebuhrs Gade, a street in the port area of
Copenhagen Copenhagen ( or .; da, København ) is the capital and most populous city of Denmark, with a proper population of around 815.000 in the last quarter of 2022; and some 1.370,000 in the urban area; and the wider Copenhagen metropolitan ar ...
, is named for him.


Works

*Niebuhr, Carsten. ''Beschreibung von Arabien. Aus eigenen Beobachtungen und im Lande selbst gesammleten Nachrichten''. Copenhagen, 1772. *Niebuhr, Carsten. ''Reisebeschreibung nach Arabien und andern umliegender Ländern''. 2 vols. Copenhagen, 1774-1778. *Niebuhr, Carsten. "Über Längen-Beobachtungen im Orient u.s.w. Aus einem Schreiben des königl. Dänischen geheimer Justiz-Raths Carsten Niebuhr". ''Monatliche Correspondenz zur Beförderung der Erd- und Himmels-Kunde'' 4 (1801), pp. 240–253. *Niebuhr, Carsten. Biographische Nachrichten aus Tobias Mayer's Jugendjahren aus einem Schreiben des Königlich Dänischen Justiz-Raths C. Niebuhr, ''Monatliche Correspondenz zur Beförderung der Erd-und Himmels-Kunde'' 8 (1803), pp. 45–56, and 9 (1804), pp. 487–491. *Niebuhr, Carsten. ''Reisebescheibung nach Arabien und andern umliegenden Ländern.'' Vol. 3. ''Carsten Niebuhr Reisen durch Syrien und Palästina, nach Cypern, und durch Kleinasien und die Türkei nach Deutschland und Dännemark'', edited by J. N.Gloyer and J. Olshausen. Hamburg, 1837. *Niebuhr, Carsten. ''Rejsebeskrivele fra Arabien og andre omkringliggende Lande'', translated by Hans Christian Fink, with an introduction by Michhael Harbsmeier. 2 vols., Copenhagen, 2003. *Niebuhr, Carsten. ''Beskrivelse af Arabien ud fra egne iagttagelser og i landet selv samlede efterretinger'', translated by Hans Christian Fink, with an introduction by Niels Peter Lemche. Copenhagen, 2009.


References


Bibliography

* Baack, Lawrence J. A practical skill that was without equal: Carsten Niebuhr and the navigational astronomy of the Arabian Journey, 1761-1767. ''The Mariner's Mirror'', 99.2(2013), pp. 138–152. * Baack, Lawrence J. ''Undying curiosity. Carsten Niebuhr and the Royal Danish Expedition to Arabia (1761-1767)''. Stuttgart, 2014. * *''Carsten Niebuhr (1733-1815) und seine Zeit'', edited by Josef Wiesehöfer and Stephan Conermann. Stuttgart, 2002. *''Early scientific expeditions and local encounters. New perspectives on Carsten Niebuhr and 'The Arabian Journey'. Proceedings of a symposium on the occasion of the 250th anniversary of the Royal Danish Expedition to Arabia Felix'', edited by Ib Friis, Michael Harbsmeier and Jørgen Bæk Simonsen. openhagen 2013. * Eck, Reimer. Tobias Mayer, Johann David Michaelis, Carsten Niebuhr und die Göttingen Methode der Längenbestimmung. '' Mitteilungen Gauss-Gesellschaft e. V. Göttingen'', 22 (1986), pp. 73–81. * Hansen, Thorkild. ''Arabia Felix'', translated by James and Kathleen McFarlane. New York, 1963. *Hopkins, I.W.J. The maps of Carsten Niebuhr: 200 years after, ''The Cartographic Journal'' 4(1967), pp. 115–118. * Niebuhr, Barthold Georg. ''Carsten Niebuhrs Leben, Kleine historische und philologische Schriften''. Bonn, 1828. * Niebuhr, Barthold Georg. ''Vorträge über alte Geschichte an der Universität zu Bonn gehalten'', edited M. Niebuhr. Vol. 1. Berlin, 1847. *Rasmussen, Stig T., ed. ''Den Arabiske Rejse 1761-1767. En dansk ekspedition set i verdenskabshistorisk perspektiv''. Copenhagen, 1990. *Rasmussen, Stig T., ed. ''Carsten Niebuhr und die Arabische Reise 1761-1767. Ausstellung der Königlichen Bibliothek Kopenhagen in Zusammenbang mit dem Kultusministerium des Landes Schleswig-Holstein''. Heide, 1986. *Hansen, Anne Haslund. ''Niebuhr's museum. Artefacts and souvenirs from the Royal Danish Expedition to Arabia 1761-1767''. Copenhagen, 2016. *Vermeulen, Han F., 'Anthropology and the Orient: C. Niebuhr and the Danish- German Arabia Expedition'' . In: Han F. Vermeulen: ''Before Boas. the genesis of ethnography and ethnology in the German Enlightenment''. Lincoln & London, University of Nebraska Press, 2016.


External links


''Beschreibung von Arabien'' text and illustrations at the University of Göttingen
*
Travels in Arabia
' from 1892, featuring Carsten Neibuhr * {{DEFAULTSORT:Niebuhr, Carsten 1733 births 1815 deaths People from Cuxhaven (district) People from the Electorate of Hanover Danish explorers Danish cartographers Danish surveyors German explorers German cartographers 18th-century German mathematicians Explorers of Asia Explorers of Arabia Members of the Royal Swedish Academy of Sciences Yemen researchers Palestinologists Researchers of Yemenite Jewry 19th-century German mathematicians