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[http://icelandiconline.is/index.html Icelandic Online] from the University of Iceland - login required - free independent learning or paid tutored courses
[http://tungumalatorg.is/viltu_laera_islensku/en Viltu laera Íslensku] Video based course
[http://alarichall.org.uk/teaching/modern_icelandic.php Learn Icelandic!] Audio course from Alaric Hall with supporting materials
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[http://tungumalatorg.is/ifa/ Íslenska fyrir alla] Set of four books for beginning learners - includes audio files
[http://www.samkoma.com/mimir/mimir.htm Mímir] hypertext Icelandic grammar reference
[http://bin.arnastofnun.is/forsida/ Begingarlýsing íslensks nútímamáls] Site (in Icelandic) given a word, returns stems of which it might be an inflected form - Alaric Hall has provided [http://alarichall.org.uk/teaching/beygingarlysingarlysing.pdf instructions] in English.
[http://uwdc.library.wisc.edu/collections/IcelOnline Icelandic Readings and Bilingual Dictionary] from University of Wisconsin Digital Collections
[http://vsnrweb-publications.org.uk/ Viking Society for Northern Research Publications] Many of these are older but there is some more recent material. Literary as well as linguistic resources