Branches of Mathematics

Pure mathematics

• Algebra
• Calculus
• Geometry
• Topology
• Trignometry
• Combinatorics
• Logic
• Number theory

Applied mathematics

• Dynamical systems and differential equations
• Mathematical physics
• Computing
• Information theory and signal processing
• Probability and statistics
• Game theory
• Operations research

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  Australia
  Australia ( /əˈstreɪljə/), officially the Commonwealth of Australia, is a country in the Southern Hemisphere comprising the mainland of the Australian continent as well as the island of Tasmania and numerous smaller islands in the Indian and Pacific Oceans. It is the world's sixth-largest country by total area. Neighbouring countries include Indonesia, East Timor and Papua New Guinea to the north; the Solomon Islands, Vanuatu and New Caledonia to the north-east; and New Zealand to the south-east.
  For at least 40,000 years before European settlement in the late 18th century, Australia was inhabited by indigenous Australians, who belonged to one or more of roughly 250 language groups. After discovery by Dutch explorers in 1606, Australia's eastern half was claimed by Great Britain in 1770 and settled through penal transportation to the colony of New South Wales from 26 January 1788. The population grew steadily in subsequent decades; the continent was explored and an additional five self-governing Crown Colonies were established.
  
  wn.com/Australia
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  Canada
  Canada ( /ˈkænədə/) is a North American country consisting of ten provinces and three territories. Located in the northern part of the continent, it extends from the Atlantic Ocean in the east to the Pacific Ocean in the west, and northward into the Arctic Ocean. Spanning over 9,900,000 km² (3,800,000 sq mi), Canada is the world's second-largest country by total area, and its common border with the United States is the longest land border in the world.
  The land that is now Canada has been inhabited for millennia by various Aboriginal peoples. Beginning in the late 15th century, British and French colonial expeditions explored, and later settled, along the region's Atlantic coast. France ceded nearly all of its colonies in North America in 1763 after the Seven Years' War. In 1867, with the union of three British North American colonies through Confederation, Canada was formed as a federal dominion of four provinces. This began an accretion of provinces and territories and a process of increasing autonomy; the Canada Act 1982 severed the vestiges of legal dependence on Britain.
  
  wn.com/Canada
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  England
  England ⁱ/ˈɪŋɡlənd/ is a country that is part of the United Kingdom. It shares land borders with Scotland to the north and Wales to the west; the Irish Sea is to the north west, the Celtic Sea to the south west, while the North Sea to the east and the English Channel to the south separate it from continental Europe. Most of England comprises the central and southern part of the island of Great Britain in the North Atlantic. The country also includes over 100 smaller islands such as the Isles of Scilly and the Isle of Wight.
  The area now called England was first inhabited by modern humans during the Upper Palaeolithic period, but it takes its name from the Angles, one of the Germanic tribes who settled during the 5th and 6th centuries. England became a unified state in AD 927, and since the Age of Discovery, which began during the 15th century, has had a significant cultural and legal impact on the wider world. The English language, the Anglican Church, and English law—the basis for the common law legal systems of many other countries around the world—developed in England, and the country's parliamentary system of government has been widely adopted by other nations. The Industrial Revolution began in 18th-century England, transforming its society into the world's first industrialised nation. England's Royal Society laid the foundations of modern experimental science.
  
  wn.com/England
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  Great Britain
  Great Britain or Britain (Welsh: Prydain Fawr, Scottish Gaelic: Breatainn Mhòr, Cornish: Breten Veur) is an island situated to the northwest of Continental Europe. It is the ninth largest island in the world, the largest European island, and the largest of the British Isles. With a population of about 60.0 million people in mid-2009, it is the third most populous island in the world, after Java and Honshū. Great Britain is surrounded by over 1,000 smaller islands and islets. The island of Ireland lies to its west. Politically, Great Britain may also refer to the island itself together with a number of surrounding islands which comprise the territory of England, Scotland and Wales.
  All of the island is territory of the sovereign state of the United Kingdom of Great Britain and Northern Ireland, and most of the United Kingdom's territory is in Great Britain. Most of England, Scotland, and Wales are on the island of Great Britain, as are their respective capital cities: London, Edinburgh, and Cardiff.
  
  wn.com/Great_Britain
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  Ireland
  Coordinates: 53°20′N 08°00′W / 53.333°N 8°W / 53.333; -8
  Ireland (pronounced [ˈaɪrlənd] ( listen); Irish: Éire [ˈeːɾʲə] ( listen); Ulster Scots: Airlann or Airlan) is an island to the northwest of continental Europe. It is the third-largest island in Europe and the twentieth-largest island on Earth. To its east is the larger island of Great Britain, from which it is separated by the Irish Sea.
  Politically, Ireland is divided between the Republic of Ireland, which covers just under five-sixths of the island, and Northern Ireland, a part of the United Kingdom, which covers the remainder and is located in the northeast of the island. The population of Ireland is approximately 6.4 million. Just under 4.6 million live in the Republic of Ireland and just under 1.8 million live in Northern Ireland.
  Relatively low-lying mountains surrounding a central plain epitomise Ireland's geography with several navigable rivers extending inland. The island has lush vegetation, a product of its mild but changeable oceanic climate, which avoids extremes in temperature. Thick woodlands covered the island until the 17th century. Today, it is one of the most deforested areas in Europe. There are twenty-six extant mammal species native to Ireland.
  
  wn.com/Ireland
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  Italy
  Italy ⁱ/ˈɪtəli/ (Italian: Italia [iˈtaːlja]), officially the Italian Republic or the Republic of Italy (Italian: Repubblica italiana), is a unitary parliamentary republic in south-central Europe. To the north, it borders France, Switzerland, Austria and Slovenia along the Alps. To the south, it consists of the entirety of the Italian Peninsula, Sicily, Sardinia–the two largest islands in the Mediterranean Sea–and many other smaller islands. The independent states of San Marino and the Vatican City are enclaves within Italy, while Campione d'Italia is an Italian exclave in Switzerland. The territory of Italy covers some 301,338 km² (116,347 sq mi) and is influenced by a temperate seasonal climate. With 60.6 million inhabitants, it is the fifth most populous country in Europe, and the 23rd most populous in the world.
  Rome, the capital of Italy, was for centuries a political and religious centre of Western civilisation as the capital of the Roman Empire and site of the Holy See. After the decline of the Roman Empire, Italy endured numerous invasions by foreign peoples, from Germanic tribes such as the Lombards and Ostrogoths, to the Byzantines and later, the Normans, among others. Centuries later, Italy became the birthplace of Maritime republics and the Renaissance, an immensely fruitful intellectual movement that would prove to be integral in shaping the subsequent course of European thought.
  
  wn.com/Italy
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  New Zealand
  New Zealand (Māori: Aotearoa) is an island country located in the southwestern Pacific Ocean. The country geographically comprises two main landmasses ‒ that of the North and South Islands ‒ as well as numerous smaller islands. New Zealand is situated some 1,500 kilometres (900 mi) east of Australia across the Tasman Sea and roughly 1,000 kilometres (600 mi) south of the Pacific island nations of New Caledonia, Fiji, and Tonga. Because of its remoteness, it was one of the last lands to be settled by humans.
  During its long isolation, New Zealand developed a distinctive biodiversity of both animal and plant life. Most notable are the large number of unique bird species, many of which became extinct after the arrival of humans and introduced mammals. With a mild maritime climate, the land was mostly covered in forest. The country's varied topography and its sharp mountain peaks owe much to the tectonic uplift of land and volcanic eruptions caused by the Pacific and Indo-Australian Plates clashing beneath the earth's surface.
  
  wn.com/New_Zealand
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  United States
  The United States of America (commonly abbreviated to the United States, the U.S., the USA, America, and the States) is a federal constitutional republic comprising fifty states and a federal district. The country is situated mostly in central North America, where its forty-eight contiguous states and Washington, D.C., the capital district, lie between the Pacific and Atlantic Oceans, bordered by Canada to the north and Mexico to the south. The state of Alaska is in the northwest of the continent, with Canada to the east and Russia to the west, across the Bering Strait. The state of Hawaii is an archipelago in the mid-Pacific. The country also possesses several territories in the Pacific and Caribbean.
  At 3.79 million square miles (9.83 million km²) and with over 312 million people, the United States is the third or fourth largest country by total area, and the third largest by both land area and population. It is one of the world's most ethnically diverse and multicultural nations, the product of large-scale immigration from many countries. The U.S. economy is the world's largest national economy, with an estimated 2011 GDP of $15.1 trillion (22% of nominal global GDP and over 19% of global GDP at purchasing-power parity). Per capita income is the world's sixth-highest.
  
  wn.com/United_States
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  University of Oxford
  Coordinates: 51°45′40″N 1°15′12″W / 51.7611°N 1.2534°W / 51.7611; -1.2534
  The University of Oxford (informally Oxford University or Oxford) is a university located in Oxford, United Kingdom. It is the second-oldest surviving university in the world and the oldest in the English-speaking world. Although its exact date of foundation is unclear, there is evidence of teaching as far back as 1096. The University grew rapidly from 1167 when Henry II banned English students from attending the University of Paris. In post-nominals, the University of Oxford was historically abbreviated as Oxon. (from the Latin Oxoniensis), although Oxf is now used in official university publications.
  After disputes between students and Oxford townsfolk in 1209, some academics fled north-east to Cambridge, where they established what became the University of Cambridge. The two ancient English universities have many common features and are often jointly referred to as Oxbridge. In addition to their cultural and practical associations, as a historic part of British society, they have a long history of rivalry with each other.
  
  wn.com/University_of_Oxford

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