Germany is a Western European country with a terrain of vast forests, rivers and mountain ranges, and 2 millennia of history. Berlin, its capital, is home to thriving art and nightlife scenes, iconic Brandenburg Gate and many sites relating to WWII. Munich is known for its Oktoberfest and cavernous beer halls, including 16th-century Hofbräuhaus. Frankfurt, with its skyscrapers, houses the European Central Bank.
Germany is a country in west-central Europe that stretches from the Alps, across the North European Plain to the North Sea and the Baltic Sea. Germany has the second largest population in Europe (after the European part of Russia) and is seventh largest in area. The territory of Germany covers 357,021 km2 (137,847 sq mi), consisting of 349,223 km2 (134,836 sq mi) of land and 7,798 km2 (3,011 sq mi) of waters. Elevation ranges from the mountains of the Alps (highest point: the Zugspitze at 2,962 metres (9,718 ft)) in the south to the shores of the North Sea (Nordsee) in the northwest and the Baltic Sea (Ostsee) in the northeast. Between lie the forested uplands of central Germany and the low-lying lands of northern Germany (lowest point: Neuendorf-Sachsenbande at 3.54 metres (11.6 ft) below sea level), traversed by some of Europe's major rivers such as the Rhine, Danube and Elbe. Germany shares borders with nine European countries, second only to Russia: Denmark in the north, Poland and the Czech Republic in the east, Switzerland (its only non-EU neighbor) and Austria in the south, France in the southwest and Belgium, Luxembourg and the Netherlands in the west.
Germany has the largest national economy in Europe, the fourth largest by nominal GDP in the world, and the fifth largest GDP per capita based on purchasing power parity (PPP), and is a founding member of both the European Union and the Eurozone. Germany has a social market economy that combines capitalism with social policies favoring social insurance. Almost 100 percent of all German companies are considered small and medium-sized enterprises and are mostly family-owned. Germany serves as host to the headquarters of 50 of the Fortune 500 global companies.
The International Mathematical Union established an award to honor excellence in mathematicians under the age of 40. The award was named after Canadian mathematician John C. Fields, and has often been described as the “Nobel Prize of mathematics.” The Fields Medal has been awarded every four years since 1936. Up to four outstanding mathematicians can be honored at once, but 2014 is the first time a woman has been honored with the prize. Maryam Mirzakhani is a professor at Stanford University who was recognized for "her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces.” European Journal of Pure and Applied Mathematics is an international electronic journal which is devoted to original research in the field of pure and applied mathematics and their teaching and learning. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering, natural sciences or social sciences. German Journal of Advanced Mathematical Sciences (GJAMS) is an open access interdisciplinary peer-reviewed journal aiming a strong review process, rapid, and on time publication of unpublished and original researches in form of papers, books, tutorials, and survey articles.