Norse, Norsemen, and Normans are all applied to the Scandinavian population of the period from the late 8th century to the 11th century. The term "Normans" was later primarily associated with the people of Norse origin in Normandie, France, assimilated into French culture and language. The term Norse-Gaels (Gall Goidel, lit:foreign Gaelic) was used concerning the people of Norse descent in Ireland and Scotland, who assimilated into the Gaelic culture.
Vikings has been a common term for Norsemen in the early medieval period, especially in connection with raids and monastic plundering made by Norsemen in Great Britain and Ireland. Northmen was famously used in the prayer A furore normannorum libera nos domine ("From the fury of the Northmen deliver us, O Lord!"), doubtfully attributed to monks of the English monasteries plundered by Viking raids in the 8th and 9th centuries.
The Northmen were also known as Ascomanni, "ashmen", by the Germans,1Lochlanach by the Irish and Dene (Danes) by the Anglo-Saxons.
The Slavs, the Arabs and the Byzantines knew them as the Rus' or Rhōs, probably derived from various uses of rōþs-, i.e. "related to rowing", or derived from the area of Roslagen in east-central Sweden, where most of the Norsemen who visited the Slavic lands came from. Archaeologists and historians of today believe that these Scandinavian settlements in the slavic lands formed the names of the countries Russia and Belarus).
The Slavs and the Byzantines also called them Varangians (ON: Væringjar, meaning "sworn men"), and the Scandinavian bodyguards of the Byzantine emperors were known as the Varangian Guard.
Modern Scandinavian usage
In the Old Norse language, the term norrœnir menn ("northrons"), was used to refer to the North Germanic population of Scandinavia (Swedes, Danes, Norwegians and Icelanders), thus corresponding to the modern English name Norsemen.
In the modern Scandinavian languages, no common word for Norsemen exists. In Swedish, the term nordmän is used, which corresponds to "Northmen". The Norwegians and Danish lack a word for the ancient North Germanic peoples. Usually they are simply (but incorrectly) called vikings in both Denmark, Norway, aswell as Sweden.
The word nordbo however, (Sw.: nordborna, Da.: nordboerne, No.: nordboerne or nordbuane in the definiteplural) is used for both ancient and modern people living in the Nordic countries (Sw., Da., No.: Norden) and speaking one of the North Germanic languages (Sw.: de nordiska språken, Da.: de nordiske sprog, No.: de nordiske språkene/sprogene/språka, dei nordiske språka/språki).