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Timeline Of Mathematical Innovation In South And West Asia
South and West Asia consists of a wide region extending from the present-day country of Turkey in the west to Bangladesh and India in the east. Timeline *3rd millennium BCE Sexagesimal system of the Sumerians: *2nd millennium BCE Babylonian Pythagorean triples. According to mathematician S. G. Dani, the Babylonian cuneiform tablet Plimpton 322 written ca. 1850 BCE "contains fifteen Pythagorean triples with quite large entries, including (13500, 12709, 18541) which is a primitive triple,Three positive integers (a, b, c) form a ''primitive'' Pythagorean triple if c^2=a^2+b^2 and if the highest common factor of a, b, c is 1. In the particular Plimpton322 example, this means that 13500^2+ 12709^2= 18541^2 and that the three numbers do not have any common factors. However some scholars have disputed the Pythagorean interpretation of this tablet; see Plimpton 322 for details. indicating, in particular, that there was sophisticated understanding on the topic" in Mesopotamia ...
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South Asia
South Asia is the southern subregion of Asia, which is defined in both geographical and ethno-cultural terms. The region consists of the countries of Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan, and Sri Lanka.;;;;;;;; Topographically, it is dominated by the Indian subcontinent and defined largely by the Indian Ocean on the south, and the Himalayas, Karakoram, and Pamir mountains on the north. The Amu Darya, which rises north of the Hindu Kush, forms part of the northwestern border. On land (clockwise), South Asia is bounded by Western Asia, Central Asia, East Asia, and Southeast Asia. The South Asian Association for Regional Cooperation (SAARC) is an economic cooperation organization in the region which was established in 1985 and includes all eight nations comprising South Asia. South Asia covers about , which is 11.71% of the Asian continent or 3.5% of the world's land surface area. The population of South Asia is about 1.9 billion or about one- ...
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Timeline Of Cultivation And Domestication In South And West Asia
South and West Asia consists of a wide region extending from the present-day country of Turkey in the west to Bangladesh and India in the east. Timeline *~12,350 BC: Bread prepared by Natufian hunter-gatherers at a site in North-Eastern Jordan. *10,000 BC: Wheat is cultivated in what is now Iraq. *9th millennium BC: Barley (''Hordeum vulgare ssp. vulgare'') is domesticated in the Fertile Crescent in West Asia. The earliest remains of barley have been discovered at Neolithic sites in West Asia, including Jericho (Palestine) and Abu Hureyra (Syria) from about 8500 years BC. Domestic barley has also been found, in the Zagros Mountains, at the neolithic sites of Ali Kosh (Iran) and Jarmo (Iraq), dated between 7000 and 8000 BC, and in South Asia at the neolithic site of Mehrgarh (Pakistan) from about 7000 BC. *6th millennium BC: Cotton is domesticated in the Old World in neolithic Mehrgarh, Pakistan. In 2002, mineralized fibers found in a copper bead from Mehrgarh, in the Kachi ...
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History Of Western Asia
The Middle East, interchangeable with the Near East, is home to one of the Cradles of Civilization and has seen many of the world's oldest cultures and civilizations. The region's history started from the earliest human settlements and continues through several major pre- and post-Islamic Empires to today's nation-states of the Middle East. The Sumerians became the first people to develop complex systems that were to be called "civilization" as far back as the 5th millennium BC. Egyptian civilization coalesced around 3150 BC with the political unification of Upper and Lower Egypt under the first pharaoh. Mesopotamia was home to several powerful empires that came to rule almost all of Middle East, particularly the Assyrian Empires of 1365–1076 BC and the Neo-Assyrian Empire of 911–609 BC. From the early 7th century BC and onward, the Iranian Medes, followed by the Achaemenid Empire and other subsequent Iranian states and empires, dominated the region. In the 1st century BC, th ...
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History Of South Asia
South Asia is the southern subregion of Asia, which is defined in both geographical and ethno-cultural terms. The region consists of the countries of Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan, and Sri Lanka.;;;;;;;; Topographically, it is dominated by the Indian subcontinent and defined largely by the Indian Ocean on the south, and the Himalayas, Karakoram, and Pamir mountains on the north. The Amu Darya, which rises north of the Hindu Kush, forms part of the northwestern border. On land (clockwise), South Asia is bounded by Western Asia, Central Asia, East Asia, and Southeast Asia. The South Asian Association for Regional Cooperation (SAARC) is an economic cooperation organization in the region which was established in 1985 and includes all eight nations comprising South Asia. South Asia covers about , which is 11.71% of the Asian continent or 3.5% of the world's land surface area. The population of South Asia is about 1.9 billion or about one-fo ...
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Mathematical Association Of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry. The MAA was founded in 1915 and is headquartered at 1529 18th Street, Northwest in the Dupont Circle neighborhood of Washington, D.C. The organization publishes mathematics journals and books, including the '' American Mathematical Monthly'' (established in 1894 by Benjamin Finkel), the most widely read mathematics journal in the world according to records on JSTOR. Mission and Vision The mission of the MAA is to advance the understanding of mathematics and its impact on our world. We envision a society that values the power and beauty of mathematics and fully realizes its potential to promote human flourishing ...
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Kim Plofker
Kim Leslie Plofker (born November 25, 1964) is an American historian of mathematics, specializing in Indian mathematics. Education and career Born in Chennai, India, Plofker received her bachelor's degree in mathematics from Haverford College. She received her Ph.D. in 1995 while studying with adviser David Pingree (Mathematical Approximation by Transformation of Sine Functions in Medieval Sanskrit Astronomical Texts) from Brown University, where she conducted research and later joined as a guest professor. In the late 1990s, she was Technical Director of the American Committee for South Asian Manuscripts of the American Oriental Society, where she was also concerned with the development of programs for the text comparison. From 2000 to 2004, she was at the Dibner Institute for the History of Science and Technology at the Massachusetts Institute of Technology. During 2004 and 2005, she was a visiting professor in Utrecht and at the same time Fellow of the International Institute fo ...
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A Source Book
A, or a, is the first letter and the first vowel of the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages and others worldwide. Its name in English is ''a'' (pronounced ), plural ''aes''. It is similar in shape to the Ancient Greek letter alpha, from which it derives. The uppercase version consists of the two slanting sides of a triangle, crossed in the middle by a horizontal bar. The lowercase version can be written in two forms: the double-storey a and single-storey ɑ. The latter is commonly used in handwriting and fonts based on it, especially fonts intended to be read by children, and is also found in italic type. In English grammar, " a", and its variant " an", are indefinite articles. History The earliest certain ancestor of "A" is aleph (also written 'aleph), the first letter of the Phoenician alphabet, which consisted entirely of consonants (for that reason, it is also called an abjad to distinguis ...
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Springer-Verlag
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second largest academic publisher with 65 staff in 1872.Chronology
". Springer Science+Business Media.
In 1964, Springer expanded its business internationally, o ...
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Timeline Of Mathematics
A timeline is a display of a list of events in chronological order. It is typically a graphic design showing a long bar labelled with dates paralleling it, and usually contemporaneous events. Timelines can use any suitable scale representing time, suiting the subject and data; many use a linear scale, in which a unit of distance is equal to a set amount of time. This timescale is dependent on the events in the timeline. A timeline of evolution can be over millions of years, whereas a timeline for the day of the September 11 attacks can take place over minutes, and that of an explosion over milliseconds. While many timelines use a linear timescale—especially where very large or small timespans are relevant -- logarithmic timelines entail a logarithmic scale of time; some "hurry up and wait" chronologies are depicted with zoom lens metaphors. History Time and space, particularly the line, are intertwined concepts in human thought. The line is ubiquitous in clocks in the f ...
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First Babylonian Dynasty
The Old Babylonian Empire, or First Babylonian Empire, is dated to BC – BC, and comes after the end of Sumer, Sumerian power with the destruction of the Third Dynasty of Ur, and the subsequent Isin-Larsa period. The chronology of the first dynasty of Babylonia is debated, since there is a Babylonian King List A and also a Babylonian King List B. In this chronology, the regnal years of List A are used due to their wide usage. The reign lengths given in List B are longer, generally speaking. Hardship of searching for origins of the First Dynasty The actual origins of the First Babylonian dynasty are rather hard to pinpoint with great certainty — simply because Babylon itself, due to a high water table, yields very few archaeological materials intact. Thus, the evidence that survived throughout the years includes written records such as royal and votive inscriptions, literary texts, and lists of year-names. The minimal amount of evidence in economic and legal documents makes i ...
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West Asia
Western Asia, West Asia, or Southwest Asia, is the westernmost subregion of the larger geographical region of Asia, as defined by some academics, UN bodies and other institutions. It is almost entirely a part of the Middle East, and includes Anatolia, the Arabian Peninsula, Iran, Mesopotamia, the Armenian Highlands, the Levant, the island of Cyprus, the Sinai Peninsula, and partly the Caucasus Region (Transcaucasia). The region is considered to be separated from Africa by the Isthmus of Suez in Egypt, and separated from Europe by the waterways of the Turkish Straits and the watershed of the Greater Caucasus. Central Asia lies to its northeast, while South Asia lies to its east. Twelve seas surround the region (clockwise): the Aegean Sea, the Sea of Marmara, the Black Sea, the Caspian Sea, the Persian Gulf, the Gulf of Oman, the Arabian Sea, the Gulf of Aden, the Red Sea, the Gulf of Aqaba, the Gulf of Suez, and the Mediterranean Sea. Western Asia covers an area of , with a pop ...
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Indian Mathematics
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today: "The measure of the genius of Indian civilisation, to which we owe our modern (number) system, is all the greater in that it was the only one in all history to have achieved this triumph. Some cultures succeeded, earlier than the Indian, in discovering one or at best two of the characteristics of this intellectual feat. But none of them managed to bring together into a complete and coherent system the necessary and sufficient conditions for a number-system with the same potential as our own." was first recorded in Indian mathematics. Indian mathematicians made early contributions to the study of the concept of zero as a number,: "...our decimal system, which (by t ...
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