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

Related Topics

• Electromagnetic Spectrum
• Linear Equations
• Applied Physics
• Nano Technology
• Engineering Sciences
• Mathematical Medicine
• Fluid dynamics
• Computational Mathematics
• Gamma Ray Optics
• Onfrared Optics
• Relative Velocity
• Iciam
• Intelligent Imaging Neuroscience
• Biomedical Engineering
• Neuroscience Research
• Quantum Cosmology
• Brain Research

• Alcohol abuse
• Apprenticeship
• Austria
• Baden-Württemberg
• Bavaria
• Berlin
• Bremen
• Domestic violence
• Dropping out
• Dysfunctional family
• Education in Berlin
• Education in Hamburg
• Elementary school
• German language
• Germany
• Gesamtschule
• Gesamtschulen
• Gymnasium (Germany)
• Gymnasium (school)
• Hamburg
• Hauptschulabschluss
• Hauptschule
• Mittelschule
• Mittlere Reife
• NCEE
• Neukölln
• PDF
• Realschulabschluss
• Realschule
• Regelschule
• Regionale Schule
• Regionalschule
• Rheinland-Pfalz
• Rhineland-Palatinate
• Rütli School
• Secondary school
• Senate of Berlin
• Social stigma
• Unemployment
• West Germany
• 
  

• 
  Austria
  Austria (ⁱ/ˈɒstriə/ or /ˈɔːstriə/; German: Österreich [ˈøːstɐˌʁaɪç] ( listen)), officially the Republic of Austria (German:  Republik Österreich (help·info)), is a landlocked country of roughly 8.47 million people in Central Europe. It is bordered by the Czech Republic and Germany to the north, Hungary and Slovakia to the east, Slovenia and Italy to the south, and Switzerland and Liechtenstein to the west. The territory of Austria covers 83,855 square kilometres (32,377 sq mi) and has a temperate and alpine climate. Austria's terrain is highly mountainous due to the presence of the Alps; only 32% of the country is below 500 metres (1,640 ft), and its highest point is 3,798 metres (12,461 ft). The majority of the population speak local Austro-Bavarian dialects of German as their native language, and German in its standard form is the country's official language. Other local official languages are Burgenland Croatian, Hungarian and Slovene.
  The origins of modern-day Austria date back to the time of the Habsburg dynasty when the vast majority of the country was a part of the Holy Roman Empire of the German Nation. During the 17th and 18th centuries, Austria became one of the great powers of Europe and, in response to the coronation of Napoleon I as the Emperor of the French, the Austrian Empire was officially proclaimed in 1804. In 1867, the Austrian Empire was reformed into Austria-Hungary.
  
  wn.com/Austria
• 
  Baden-Württemberg
  Baden-Württemberg (German pronunciation: [ˈbaːdən ˈvʏɐ̯təmˌbɛɐ̯k]) is one of the 16 states of Germany. Baden-Württemberg is in the southwestern part of the country to the east of the Upper Rhine, and is the third largest in both area and population of Germany's sixteen states, with an area of 35,742 square kilometres (13,800 sq mi) and 10.7 million inhabitants. The state capital is Stuttgart.
  The sobriquet Ländle (dialect form for "small land") is sometimes used as a synonym for the Swabian part of Baden-Württemberg.^{[citation needed]}
  The area used to be covered by the historical states of Baden, including the former Prussian Hohenzollern, and Württemberg, part of the region of Swabia.
  Württemberg was occupied by the Romans in the first century AD who defended their position there by constructing a (limes) rampart. Early on in the third century, the Alemanni drove the Romans beyond the Rhine and the Danube, but in their turn they succumbed to the Franks under Clovis I, the decisive battle taking place in 496. It later became part of the Holy Roman Empire.
  
  wn.com/Baden-Württemberg
• 
  Bavaria
  Bavaria, formally the Free State of Bavaria (German: Freistaat Bayern, pronounced [ˈfʁaɪʃtaːt ˈbaɪ.ɐn] ( listen)), is a state of Germany, located in the southeast of Germany. With an area of 70,548 square kilometres (27,200 sq mi), it is the largest state by area, forming almost 20% of the total land area of Germany. Bavaria is Germany's second most populous state (after North Rhine-Westphalia), with 12.5 million inhabitants, more than any of the three sovereign states on its borders. Bavaria's capital is Munich.
  One of the oldest states of Europe, it was established as a duchy in the mid first millennium. In the 17th century, the Duke of Bavaria became a Prince-elector of the Holy Roman Empire. The Kingdom of Bavaria existed from 1806 to 1918, and Bavaria has since been a free state (republic). Modern Bavaria also includes parts of the historical regions of Franconia and Swabia.
  The Bavarians emerged in a region north of the Alps, originally inhabited by the Gauls, which had been part of the Roman provinces of Raetia and Noricum. The Bavarians spoke Old High German but, unlike other Germanic groups, probably did not migrate from elsewhere. Rather, they seem to have coalesced out of other groups left behind by Roman withdrawal late in the 5th century. These peoples may have included the Celtic Boii, some remaining Romans, Marcomanni, Allemanni, Quadi, Thuringians, Goths, Scirians, Rugians, Heruli. The name "Bavarian" ("Baiuvarii") means "Men of Baia" which may indicate Bohemia, the homeland of the Celtic Boii and later of the Marcomanni. They first appear in written sources c. 520. Saint Boniface completed the people's conversion to Christianity in the early-8th century. Bavaria was, for the most part, unaffected by the Protestant Reformation.
  
  wn.com/Bavaria
• 
  Berlin
  Berlin ( /bɜrˈlɪn/; German pronunciation: [bɛɐ̯ˈliːn] ( listen)) is the capital city of Germany and one of the 16 states of Germany. With a population of 3.5 million people, Berlin is Germany's largest city and is the second most populous city proper and the eighth most populous urban area in the European Union. Located in northeastern Germany, it is the center of the Berlin-Brandenburg Metropolitan Region, which has 5.9 million residents from over 190 nations. Located in the European Plains, Berlin is influenced by a temperate seasonal climate. Around one third of the city's area is composed of forests, parks, gardens, rivers and lakes.
  First documented in the 13th century, Berlin was the capital of the Kingdom of Prussia (1701–1918), the German Empire (1871–1918), the Weimar Republic (1919–1933) and the Third Reich (1933–1945).Berlin in the 1920s was the third largest municipality in the world. After World War II, the city became divided into East Berlin—the capital of East Germany—and West Berlin, a West German exclave surrounded by the Berlin Wall (1961–1989). Following German reunification in 1990, the city regained its status as the capital of Germany, hosting 147 foreign embassies.
  
  wn.com/Berlin
• 
  Germany
  Germany (ⁱ/ˈdʒɜrməni/), officially the Federal Republic of Germany (German: Bundesrepublik Deutschland, pronounced [ˈbʊndəsʁepuˌbliːk ˈdɔʏtʃlant] ( listen)), is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km² and has a largely temperate seasonal climate. With 81.8 million inhabitants, it is the most populous member state and the largest economy in the European Union. It is one of the major political powers of the European continent and a technological leader in many fields.
  A region named Germania, inhabited by several Germanic peoples, was documented before AD 100. During the Migration Period, the Germanic tribes expanded southward, and established successor kingdoms throughout much of Europe. Beginning in the 10th century, German territories formed a central part of the Holy Roman Empire. During the 16th century, northern German regions became the centre of the Protestant Reformation while southern and western parts remained dominated by Roman Catholic denominations, with the two factions clashing in the Thirty Years' War, marking the beginning of the Catholic–Protestant divide that has characterized German society ever since. Occupied during the Napoleonic Wars, the rise of Pan-Germanism inside the German Confederation resulted in the unification of most of the German states into the German Empire in 1871 which was Prussian dominated. After the German Revolution of 1918–1919 and the subsequent military surrender in World War I, the Empire was replaced by the Weimar Republic in 1918, and partitioned in the Treaty of Versailles. Amidst the Great Depression, the Third Reich was proclaimed in 1933. The latter period was marked by Fascism and World War II. After 1945, Germany was divided by allied occupation, and evolved into two states, East Germany and West Germany. In 1990 Germany was reunified.
  
  wn.com/Germany
• 
  Hamburg
  Hamburg ( /ˈhæmbɜrɡ/; German pronunciation: [ˈhambʊɐ̯k], local pronunciation [ˈhambʊɪç]; Low German/Low Saxon: Hamborg [ˈhaˑmbɔːx]), officially Free and Hanseatic City of Hamburg, is the second-largest city in Germany, the thirteenth largest German state, and the sixth-largest city in the European Union. The city is home to over 1.8 million people, while the Hamburg Metropolitan Region (including parts of the neighbouring Federal States of Lower Saxony and Schleswig-Holstein) has more than 4.3 million inhabitants. Situated on the river Elbe, the port of Hamburg is the second largest port in Europe (after the Port of Rotterdam) and 11th-largest worldwide.
  Hamburg's official name, Free and Hanseatic City of Hamburg (German: Freie und Hansestadt Hamburg), reflects Hamburg's history as a member of the medieval Hanseatic League, as a free imperial city of the Holy Roman Empire, and that Hamburg is a city-state and one of the sixteen States of Germany.
  Hamburg is a major transport hub in Northern Germany and is one of the most affluent cities in Europe.  It has become a media and industrial centre, with plants and facilities belonging to Airbus, Blohm + Voss and Aurubis. The radio and television broadcaster Norddeutscher Rundfunk and publishers such as Gruner + Jahr and Spiegel-Verlag are pillars of the important media industry in Hamburg. In total, there are more than 120,000 enterprises.
  
  wn.com/Hamburg
• 
  Neukölln
  Neukölln is the eighth borough of Berlin, located in the southeastern part of the city and was part of the former American sector under the Four-Power occupation of the city. It features many Gründerzeit buildings and is characterized by having one of the highest percentage of immigrants in Berlin and displaying a chiefly multinational aura.
  Neukölln's independence ended in 1920 when it was incorporated into Berlin. See History of Neukölln (locality/Stadtteil Berlins)
  From 1966 to 1975 the Gropiusstadt was built, a "Trabantenstadt" or city-within-a-city housing estate, designed by architect Walter Gropius.
  Neukölln is selected as pilot city of the Council of Europe and the European Commission Intercultural cities programme.
  As of 2010, the borough had a population of 310,283, of whom 121,000 (~40%) were of non-German ethnicity/origin. The percentage is significantly higher in the same-named locality of Neukölln. The borough is known for its large Turkish, Arab and Kurdish communities, which together make up roughly 18% of the borough's population. Recently, there has been an influx of Romani people and Sub-Saharan Africans.
  
  wn.com/Neukölln
• 
  Rheinland-Pfalz
  Rhineland-Palatinate is one of the 16 states of the Federal Republic of Germany. It has an area of 19,846 square kilometres (7,663 sq mi) and about four million inhabitants. The capital is Mainz.English-speakers also commonly refer to the state by its German name, Rheinland-Pfalz (pronounced [ˈʁaɪnlant ˈpfalts]).
  The state of Rhineland-Palatinate was established on 30 August 1946. It was formed from the northern part of the French Occupation Zone, which included parts of Bavaria (the Rhenish Palatinate), the southern parts of the Prussian Rhine Province (including the District of Birkenfeld which formerly belonged to Oldenburg), parts of the Prussian Province of Nassau (see Hesse-Nassau), and parts of Hesse-Darmstadt (Rhinehessen on the western banks of the Rhine); the constitution was legally confirmed by referendum on 18 May 1947.
  Situated in western Germany, Rhineland-Palatinate borders (from the north and clockwise) North Rhine-Westphalia, Hesse, Baden-Württemberg, France, Saarland, Luxembourg and Belgium.
  
  wn.com/Rheinland-Pfalz
• 
  Rhineland-Palatinate
  Rhineland-Palatinate is one of the 16 states of the Federal Republic of Germany. It has an area of 19,846 square kilometres (7,663 sq mi) and about four million inhabitants. The capital is Mainz.English-speakers also commonly refer to the state by its German name, Rheinland-Pfalz (pronounced [ˈʁaɪnlant ˈpfalts]).
  The state of Rhineland-Palatinate was established on 30 August 1946. It was formed from the northern part of the French Occupation Zone, which included parts of Bavaria (the Rhenish Palatinate), the southern parts of the Prussian Rhine Province (including the District of Birkenfeld which formerly belonged to Oldenburg), parts of the Prussian Province of Nassau (see Hesse-Nassau), and parts of Hesse-Darmstadt (Rhinehessen on the western banks of the Rhine); the constitution was legally confirmed by referendum on 18 May 1947.
  Situated in western Germany, Rhineland-Palatinate borders (from the north and clockwise) North Rhine-Westphalia, Hesse, Baden-Württemberg, France, Saarland, Luxembourg and Belgium.
  
  wn.com/Rhineland-Palatinate
• 
  Rütli School
  The Rütli School was a Hauptschule in Neukölln, one of Berlin's poorest neighbourhoods. The school made news in 2006 when teachers wrote a letter to the senate office demanding the school be closed down, as they were no longer able to deal with violent youngsters. The letter was made public and sparked a debate about the German school system, school violence and the integration of immigrant youngsters. In 2009, it was renamed the 1. Gemeinschaftsschule and converted to a type of Gesamtschule.
  The Rütli school was founded in 1909. During World War I, the school building served as a barracks. In 1920, it started serving as a school again. In 1921 there were 1400 students at the school. In the 1920s the Rütli school was famous for its progressive education. While most German schools still were single-sex institutions at that time, the Rütli school was co-educational. Students were allowed to participate in workshops and field-trips. The democratic teaching methods of the Rütli School were hailed by many educational scientists. The Rütli School gave rise to a circle of resistance fighters in Nazi Germany. The most famous of these men was Hanno Günther. The Rütli School was closed down by the Nazis and served as a military hospital. In 1945 it was reopened. In 2009 the "Campus Rütli" was founded, fusing together the Rütli School, the neighbouring Realschule and a primary school. A new nursery, a youth club, sports and leisure facilities, workshops and an advice centre were added.
  
  wn.com/Rütli_School
• 
  West Germany
  West Germany (German: Westdeutschland) is the common English name for the Federal Republic of Germany or FRG (German: Bundesrepublik Deutschland) in the period between its creation in May 1949 to German reunification on 3 October 1990.
  During this period, West Germany and the communist East Germany were divided by the Inner German border. After 1961, West Berlin was physically separated from East Berlin as well as from East Germany by the Berlin Wall. This situation ended when East Germany was dissolved and its five states joined the ten states of the Federal Republic of Germany along with the reunified city-state of Berlin. The enlarged Federal Republic of Germany with sixteen states (known simply as "Germany") is thus the continuation of the pre-1990 Federal Republic of Germany.
  The Federal Republic of Germany was established from eleven states formed in the three Allied Zones of occupation held by the United States, the United Kingdom and France (the "Western Zones"). The city of Bonn was its provisional capital city. The fourth Allied occupation zone (the East Zone, or Ostzone) was held by the Soviet Union. The parts of this zone lying east of the Oder-Neisse were in fact annexed by the Soviet Union and communist Poland; the remaining central part around Berlin became the communist German Democratic Republic (abbreviated GDR; in German Deutsche Demokratische Republik or DDR) with its de facto capital in East Berlin. As a result, West Germany had a territory about half the size of the interwar democratic Weimar Republic.
  
  wn.com/West_Germany

• 
  Austria
  Austria (ⁱ/ˈɒstriə/ or /ˈɔːstriə/; German: Österreich [ˈøːstɐˌʁaɪç] ( listen)), officially the Republic of Austria (German:  Republik Österreich (help·info)), is a landlocked country of roughly 8.47 million people in Central Europe. It is bordered by the Czech Republic and Germany to the north, Hungary and Slovakia to the east, Slovenia and Italy to the south, and Switzerland and Liechtenstein to the west. The territory of Austria covers 83,855 square kilometres (32,377 sq mi) and has a temperate and alpine climate. Austria's terrain is highly mountainous due to the presence of the Alps; only 32% of the country is below 500 metres (1,640 ft), and its highest point is 3,798 metres (12,461 ft). The majority of the population speak local Austro-Bavarian dialects of German as their native language, and German in its standard form is the country's official language. Other local official languages are Burgenland Croatian, Hungarian and Slovene.
  The origins of modern-day Austria date back to the time of the Habsburg dynasty when the vast majority of the country was a part of the Holy Roman Empire of the German Nation. During the 17th and 18th centuries, Austria became one of the great powers of Europe and, in response to the coronation of Napoleon I as the Emperor of the French, the Austrian Empire was officially proclaimed in 1804. In 1867, the Austrian Empire was reformed into Austria-Hungary.
  
  wn.com/Austria

• timeline:
• 2012
• 2011
• 2010
• 2009
• 2008
• 2007
• 2006
• 2005
• 2004
• 2003
• 2002
• 2001

• timeline:
• 2012
• 2011
• 2010
• 2009
• 2008
• 2007
• 2006
• 2005
• 2004
• 2003
• 2002
• 2001