Japanese Mathematics
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Japanese Mathematics
denotes a distinct kind of mathematics which was developed in Japan during the Edo period (1603–1867). The term ''wasan'', from ''wa'' ("Japanese") and ''san'' ("calculation"), was coined in the 1870s and employed to distinguish native Japanese mathematical theory from Western mathematics (洋算 ''yōsan''). In the history of mathematics, the development of ''wasan'' falls outside the Western realm. At the beginning of the Meiji period (1868–1912), Japan and its people opened themselves to the West. Japanese scholars adopted Western mathematical technique, and this led to a decline of interest in the ideas used in ''wasan''. History The Japanese mathematical Model (abstract), schema evolved during a period when Japan's people were isolated from European influences, but instead borrowed from ancient mathematical texts written in China, including those from the Yuan dynasty and earlier. The Japanese mathematicians Yoshida Koyu, Yoshida Shichibei Kōyū, Imamura Chishō, and T ...
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Japan
Japan ( ja, 日本, or , and formally , ''Nihonkoku'') is an island country in East Asia. It is situated in the northwest Pacific Ocean, and is bordered on the west by the Sea of Japan, while extending from the Sea of Okhotsk in the north toward the East China Sea, Philippine Sea, and Taiwan in the south. Japan is a part of the Ring of Fire, and spans Japanese archipelago, an archipelago of List of islands of Japan, 6852 islands covering ; the five main islands are Hokkaido, Honshu (the "mainland"), Shikoku, Kyushu, and Okinawa Island, Okinawa. Tokyo is the Capital of Japan, nation's capital and largest city, followed by Yokohama, Osaka, Nagoya, Sapporo, Fukuoka, Kobe, and Kyoto. Japan is the List of countries and dependencies by population, eleventh most populous country in the world, as well as one of the List of countries and dependencies by population density, most densely populated and Urbanization by country, urbanized. About three-fourths of Geography of Japan, the c ...
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Power Series
In mathematics, a power series (in one variable) is an infinite series of the form \sum_^\infty a_n \left(x - c\right)^n = a_0 + a_1 (x - c) + a_2 (x - c)^2 + \dots where ''an'' represents the coefficient of the ''n''th term and ''c'' is a constant. Power series are useful in mathematical analysis, where they arise as Taylor series of infinitely differentiable functions. In fact, Borel's theorem implies that every power series is the Taylor series of some smooth function. In many situations, ''c'' (the ''center'' of the series) is equal to zero, for instance when considering a Maclaurin series. In such cases, the power series takes the simpler form \sum_^\infty a_n x^n = a_0 + a_1 x + a_2 x^2 + \dots. Beyond their role in mathematical analysis, power series also occur in combinatorics as generating functions (a kind of formal power series) and in electronic engineering (under the name of the Z-transform). The familiar decimal notation for real numbers can also be viewed as an ...
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Japanese Temple Geometry
Japanese may refer to: * Something from or related to Japan, an island country in East Asia * Japanese language, spoken mainly in Japan * Japanese people, the ethnic group that identifies with Japan through ancestry or culture ** Japanese diaspora, Japanese emigrants and their descendants around the world * Japanese citizens, nationals of Japan under Japanese nationality law ** Foreign-born Japanese, naturalized citizens of Japan * Japanese writing system, consisting of kanji and kana * Japanese cuisine, the food and food culture of Japan See also * List of Japanese people * * Japonica (other) * Japonicum * Japonicus * Japanese studies Japanese studies (Japanese: ) or Japan studies (sometimes Japanology in Europe), is a sub-field of area studies or East Asian studies involved in social sciences and humanities research on Japan. It incorporates fields such as the study of Japanese ... {{disambiguation Language and nationality disambiguation pages ...
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Fujita Sadasuke
, also known as Honda Teiken, was a Japanese mathematician in the Edo period.Fukagawa, Hidetoshi ''et al.'' (2008). '' Sacred Mathematics: Japanese Temple Geometry'', p. 24. He is the author of ''Seiyō sampō'' (''Essence of Mathematics'') which was published in 1781. Sadasuke was the father of Fujita Kagen (1765–1821), who is credited with publishing the first collection of ''sangaku'' problems. Selected works In a statistical overview derived from writings by and about Fujita Sadasuke, OCLC/WorldCat encompasses roughly 30 works in 30+ publications in 1 language and 30+ library holdings * , 1769 * , 1781 * , 1796 * , 1807 See also * Sangaku, the custom of presenting mathematical problems, carved in wood tablets, to the public in Shinto shrines * Soroban, a Japanese abacus * Japanese mathematics Notes References * Fukagawa, Hidetoshi and Tony Rothman. (2008). '' Sacred Mathematics: Japanese Temple Geometry''. Princeton: Princeton University Press. OCLC 181142099* Nu ...
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Clark University
Clark University is a private research university in Worcester, Massachusetts. Founded in 1887 with a large endowment from its namesake Jonas Gilman Clark, a prominent businessman, Clark was one of the first modern research universities in the United States. Originally an all-graduate institution, Clark's first undergraduates entered in 1902 and women were first enrolled in 1942. The university now offers 46 majors, minors, and concentrations in the humanities, social sciences, natural sciences, and engineering and allows students to design specialized majors and engage in pre-professional programs. It is noted for its programs in the fields of psychology, geography, physics, biology, and entrepreneurship and is a member of the Higher Education Consortium of Central Massachusetts which enables students to cross-register to attend courses at other area institutions including Worcester Polytechnic Institute and the College of the Holy Cross. As a liberal arts–based research uni ...
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Arima Raido
Arima, officially The Royal Chartered Borough of Arima is the easternmost and second largest in area of the three boroughs of Trinidad and Tobago. It is geographically adjacent to Sangre Grande and Arouca at the south central foothills of the Northern Range. To the south is the Caroni–Arena Dam. Coterminous with Town of Arima since 1888, the borough of Arima is the fourth-largest municipality in population in the country (after Port of Spain, Chaguanas and San Fernando). The census estimated it had 33,606 residents in 2011. In 1887, the town petitioned Queen Victoria for municipal status as part of her Golden Jubilee celebration. This was granted in the following year, and Arima became a Royal Borough on 1 August 1888. Historically the third-largest town of Trinidad and Tobago, Arima is fourth since Chaguanas became the largest town in the country. Geography Climate The borough has a tropical rainforest climate (Köppen ''Af''), bordering on a tropical monsoon climate, ...
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Kurushima Kinai
, also known as Kurushima Yoshita
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Floruit
''Floruit'' (; abbreviated fl. or occasionally flor.; from Latin for "they flourished") denotes a date or period during which a person was known to have been alive or active. In English, the unabbreviated word may also be used as a noun indicating the time when someone flourished. Etymology and use la, flōruit is the third-person singular perfect active indicative of the Latin verb ', ' "to bloom, flower, or flourish", from the noun ', ', "flower". Broadly, the term is employed in reference to the peak of activity for a person or movement. More specifically, it often is used in genealogy and historical writing when a person's birth or death dates are unknown, but some other evidence exists that indicates when they were alive. For example, if there are wills attested by John Jones in 1204, and 1229, and a record of his marriage in 1197, a record concerning him might be written as "John Jones (fl. 1197–1229)". The term is often used in art history when dating the career ...
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Matsunaga Ryohitsu
Matsunaga (written: ) is a Japanese surname. Notable people with the surname include: *Daniel Matsunaga, Japanese-Brazilian model, actor and football player currently based in the Philippines *Enzo Matsunaga, author * Futoshi Matsunaga, Japanese serial killer * Hikaru Matsunaga, Japanese legislator and finance minister * Hisahide Matsunaga, daimyō from the * Koharu Matsunaga,, Accordionist and member of Charan-Po-Rantan Matsunaga clan in the Sengoku period *Mitsuhiro Matsunaga, Japanese professional wrestler * Mari Matsunaga, founder of i-mode mobile service and Seiko Epson board director *Masahiro Matsunaga, racing driver * Masatoshi Matsunaga, Imperial Army Lieutenant General and Baron, Second Class * Sadaichi Matsunaga, Imperial Japanese Navy Vice Admiral *, Japanese sport wrestler *Spark Matsunaga, United States Senator from Hawaii *, Japanese footballer * Toh Matsunaga, Chairman of the 45th House of Representative *Yoshisuke Matsunaga, Japanese mathematician of the 18th cent ...
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Takebe Kenkō
, also known as Takebe Kenkō, was a Japanese mathematician and cartographer during the Edo period.Smith, David. (1914). Biography Takebe was the favorite student of the Japanese mathematician Seki Takakazu Takebe is considered to have extended and disseminated Seki's work. In 1706, Takebe was offered a position in the Tokugawa shogunate's department of ceremonies. In 1719, Takebe's new map of Japan was completed; and the work was highly valued for its quality and detail. ''Shōgun'' Yoshimune honored Takebe with rank and successively better positions in the shogunate. Legacy Takebe played critical role in the development of the Enri (, "circle principle") - a crude analogon to the western calculus. He also created charts for trigonometric functions. Mathematical Society of Japan
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Yoshida Mitsuyoshi
, also known as Yoshida Kōyū, was a Japanese mathematician in the Edo period. List of Japanese mathematicians
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Dept. of Mathematics and Computer Science
His popular and widely disseminated published work made him the most well known writer about mathematics in his lifetime. He was a student of (also known as
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