John Charles Fields
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John Charles Fields
John Charles Fields, FRS, FRSC (May 14, 1863 – August 9, 1932) was a Canadian mathematician and the founder of the Fields Medal for outstanding achievement in mathematics. Career Born in Hamilton, Canada West, to a leather shop owner, Fields graduated from Hamilton Collegiate Institute in 1880 and the University of Toronto in 1884 before leaving for the United States to study at Johns Hopkins University in Baltimore, Maryland. Fields received his Ph.D. in 1887. His thesis, entitled ''Symbolic Finite Solutions and Solutions by Definite Integrals of the Equation dny/dxn = xmy'', was published in the ''American Journal of Mathematics'' in 1886. Fields taught for two years at Johns Hopkins before joining the faculty of Allegheny College in Meadville, Pennsylvania. Disillusioned with the state of mathematical research in North America at the time, he left for Europe in 1891, locating primarily in Berlin, Göttingen and Paris, where he associated with some of the greatest math ...
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Hamilton, Ontario
Hamilton is a port city in the Canadian Provinces and territories of Canada, province of Ontario. Hamilton has a 2021 Canadian census, population of 569,353 (2021), and its Census Metropolitan Area, census metropolitan area, which encompasses Burlington, Ontario, Burlington and Grimsby, Ontario, Grimsby, has a population of 785,184. The city is situated approximately southwest of Toronto in the Greater Toronto and Hamilton Area (GTHA). Conceived by George Hamilton (city founder), George Hamilton when he purchased the James Durand, Durand farm shortly after the War of 1812, the town of Hamilton became the centre of a densely populated and industrialized region at the west end of Lake Ontario known as the Golden Horseshoe. On January 1, 2001, the current boundaries of Hamilton were created through the Merger (politics), amalgamation of the original city with other municipalities of the Regional Municipality of Hamilton–Wentworth. Residents of the city are known as Hamiltonian ...
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United States
The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 contiguous states border Canada to the north and Mexico to the south, with the semi-exclave of Alaska in the northwest and the archipelago of Hawaii in the Pacific Ocean. The United States asserts sovereignty over five Territories of the United States, major island territories and United States Minor Outlying Islands, various uninhabited islands in Oceania and the Caribbean. It is a megadiverse country, with the world's List of countries and dependencies by area, third-largest land area and List of countries and dependencies by population, third-largest population, exceeding 340 million. Its three Metropolitan statistical areas by population, largest metropolitan areas are New York metropolitan area, New York, Greater Los Angeles, Los Angel ...
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Paris, France
Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of cities in the European Union by population within city limits, fourth-most populous city in the European Union and the List of cities proper by population density, 30th most densely populated city in the world in 2022. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, culture, Fashion capital, fashion, and gastronomy. Because of its leading role in the French art, arts and Science and technology in France, sciences and its early adoption of extensive street lighting, Paris became known as the City of Light in the 19th century. The City of Paris is the centre of the ÃŽle-de-France region, or Paris Region, with an official estimated population of 12,271,794 inhabitants in January 2023, or ...
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Göttingen
Göttingen (, ; ; ) 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. According to the 2022 German census, the population of Göttingen was 124,548. Overview The origins of Göttingen lay in a village called ''Gutingi, ''first mentioned in a document in 953 AD. The city was founded northwest of this village, between 1150 and 1200 AD, and adopted its name. In Middle Ages, medieval times the city was a member of the Hanseatic League and hence a wealthy town. Today, Göttingen is famous for its old university (''Georgia Augusta'', or University of Göttingen, "Georg-August-Universität"), which was founded in 1734 (first classes in 1737) and became the most visited university of Europe. In 1837, seven professors protested against the absolute sovereignty of the House of Hanover, kings of Kingdom of Hanover, Hanover; they lost their positions, but ...
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Berlin, Germany
Berlin ( ; ) is the capital and largest city of Germany, by both area and population. With 3.7 million inhabitants, it has the highest population within its city limits of any city in the European Union. The city is also one of the states of Germany, being the third smallest state in the country by area. Berlin is surrounded by the state of Brandenburg, and Brandenburg's capital Potsdam is nearby. The urban area of Berlin has a population of over 4.6 million and is therefore the most populous urban area in Germany. The Berlin-Brandenburg capital region has around 6.2 million inhabitants and is Germany's second-largest metropolitan region after the Rhine-Ruhr region, as well as the fifth-biggest metropolitan region by GDP in the European Union. Berlin was built along the banks of the Spree river, which flows into the Havel in the western borough of Spandau. The city includes lakes in the western and southeastern boroughs, the largest of which is Müggelsee. About on ...
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Europe
Europe is a continent located entirely in the Northern Hemisphere and mostly in the Eastern Hemisphere. It is bordered by the Arctic Ocean to the north, the Atlantic Ocean to the west, the Mediterranean Sea to the south, and Asia to the east. Europe shares the landmass of Eurasia with Asia, and of Afro-Eurasia with both Africa and Asia. Europe is commonly considered to be Boundaries between the continents#Asia and Europe, separated from Asia by the Drainage divide, watershed of the Ural Mountains, the Ural (river), Ural River, the Caspian Sea, the Greater Caucasus, the Black Sea, and the waterway of the Bosporus, Bosporus Strait. "Europe" (pp. 68–69); "Asia" (pp. 90–91): "A commonly accepted division between Asia and Europe ... is formed by the Ural Mountains, Ural River, Caspian Sea, Caucasus Mountains, and the Black Sea with its outlets, the Bosporus and Dardanelles." Europe covers approx. , or 2% of Earth#Surface, Earth's surface (6.8% of Earth's land area), making it ...
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North America
North America is a continent in the Northern Hemisphere, Northern and Western Hemisphere, Western hemispheres. North America is bordered to the north by the Arctic Ocean, to the east by the Atlantic Ocean, to the southeast by South America and the Caribbean Sea, and to the south and west by the Pacific Ocean. The region includes Middle America (Americas), Middle America (comprising the Caribbean, Central America, and Mexico) and Northern America. North America covers an area of about , representing approximately 16.5% of Earth's land area and 4.8% of its total surface area. It is the third-largest continent by size after Asia and Africa, and the list of continents and continental subregions by population, fourth-largest continent by population after Asia, Africa, and Europe. , North America's population was estimated as over 592 million people in list of sovereign states and dependent territories in North America, 23 independent states, or about 7.5% of the world's popula ...
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Pennsylvania
Pennsylvania, officially the Commonwealth of Pennsylvania, is a U.S. state, state spanning the Mid-Atlantic (United States), Mid-Atlantic, Northeastern United States, Northeastern, Appalachian, and Great Lakes region, Great Lakes regions of the United States. It borders Delaware to its southeast, Maryland to its south, West Virginia to its southwest, Ohio and the Ohio River to its west, Lake Erie and New York (state), New York to its north, the Delaware River and New Jersey to its east, and the Provinces and territories of Canada, Canadian province of Ontario to its northwest via Lake Erie. Pennsylvania's most populous city is Philadelphia. Pennsylvania was founded in 1681 through a royal land grant to William Penn, the son of William Penn (Royal Navy officer), the state's namesake. Before that, between 1638 and 1655, a southeast portion of the state was part of New Sweden, a Swedish Empire, Swedish colony. Established as a haven for religious and political tolerance, the B ...
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Meadville, Pennsylvania
Meadville is a city in Crawford County, Pennsylvania, United States, and its county seat. The population was 13,050 at the 2020 United States Census, 2020 census. The first permanent settlement in Northwestern Pennsylvania, Meadville is within of Erie, Pennsylvania, Erie and within of Pittsburgh. It is the principal city of the Meadville, PA Micropolitan Statistical Area, Meadville micropolitan area, as well as part of the larger Erie–Meadville combined statistical area. History Settlement and establishment The Meadville area was the ancestral land of the Eriechronon people until the Iroquois, Iroquois Confederacy forced them out. Having been displaced from their ancestral lands in what is now Eastern Pennsylvania, the Lenape moved into the now unoccupied region. They formed an alliance with the neighboring Seneca people, Seneca, one of the five tribes that made up the Iroquois Confederacy, and other displaced Lenape. Under the leadership of Chief Custaloga, they founded ...
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Allegheny College
Allegheny College is a private liberal arts college in Meadville, Pennsylvania, United States. Founded in 1815, Allegheny is the oldest college in continuous existence under the same name west of the Allegheny Mountains. It is a member of the Great Lakes Colleges Association and the Presidents' Athletic Conference and it is accredited by the Middle States Commission on Higher Education. History Pre-colonial history The area where Allegheny College stands was the ancestral land of the Eriechronon people until the Iroquois Confederacy forced them out. Having been displaced from their ancestral lands in what is now Eastern Pennsylvania, the Lenape or Delaware Tribe moved into the now unoccupied region. They formed an alliance with the neighboring Seneca, one of the five tribes that made up the Iroquois Confederacy, and other displaced Lenape. Under the leadership of Chief Custalog, they founded the settlement of Cussewago. This settlement would later be abandoned and claimed ...
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American Journal Of Mathematics
The ''American Journal of Mathematics'' is a bimonthly mathematics journal published by the Johns Hopkins University Press. History The ''American Journal of Mathematics'' is the oldest continuously published mathematical journal in the United States, established in 1878 at the Johns Hopkins University by James Joseph Sylvester, an English-born mathematician who also served as the journal's editor-in-chief from its inception through early 1884. Initially W. E. Story was associate editor in charge; he was replaced by Thomas Craig (mathematician), Thomas Craig in 1880. For volume 7 Simon Newcomb became chief editor with Craig managing until 1894. Then with volume 16 it was "Edited by Thomas Craig with the Co-operation of Simon Newcomb" until 1898. Other notable mathematicians who have served as editors or editorial associates of the journal include Frank Morley, Oscar Zariski, Lars Ahlfors, Hermann Weyl, Wei-Liang Chow, S. S. Chern, André Weil, Harish-Chandra, Jean Dieudonné, Hen ...
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Thesis
A thesis (: theses), or dissertation (abbreviated diss.), is a document submitted in support of candidature for an academic degree or professional qualification presenting the author's research and findings.International Standard ISO 7144: DocumentationâPresentation of theses and similar documents International Organization for Standardization, Geneva, 1986. In some contexts, the word ''thesis'' or a cognate is used for part of a bachelor's or master's course, while ''dissertation'' is normally applied to a doctorate. This is the typical arrangement in American English. In other contexts, such as within most institutions of the United Kingdom, South Africa, the Commonwealth Countries, and Brazil, the reverse is true. The term graduate thesis is sometimes used to refer to both master's theses and doctoral dissertations. The required complexity or quality of research of a thesis or dissertation can vary by country, university, or program, and the required minimum study period ...
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