One of the most important resources for Norwegian genealogical research are the bygdebøker (Farm Books). They tell the history of the farms and families that owned or lived on them and can be an absolute goldmine for genealogists. However, these books can vary in quality and availability. Some have been meticulously researched and others are compilations of fairy-tales and guesswork. By-and-large, they are reliable, and you should always check for existing research, but confirm anything you find in the book.
While bygdebøker are more readily available in Norway, there are many great collections of them here in the U.S.
- The Arne G. Brekke Bygdebok Collection, at the Chester Fritz Library, University of North Dakota has an extensive collection of bygdebøker. They do not offer inter-library loans (ILL), but they do offer research services for fairly reasonable rates.
- The University of Minnesota, primarily at the Wilson Library in Minneapolis, has a nice collection, and some of these books may be available by ILL.
- The University of Wisconsin has some.
- The Rolvaag Library, at St. Olaf College, in Northfield, Minnesota has a large collection
Increasingly, bygdebøker can be found online, and except the Norwegian National Libraries collection, which is mostly available only to Norwegians, the online books are scattered and can be difficult to find. That is why I am adding a new page to this website that lists bygdebøker that can be found online. I will update this list as I find additional books online.
If you do not read Norwegian the books can take a little while to get used to. They will almost inevitably use a significant number of abbreviations. Usually, you can find a list of explanations at the front of the book. Also, remember this is more typically a history of the FARM not the families necessarily. When someone sold a farm, or moved, the new family living on the farm would be tracked. So make sure that you are following your family and not someone else!
Happy Hunting!
Sveriges Släktforskarförbund (The National Swedish Genealogical Society) 
A very Happy National Day to Sweds this 6 June 2017. Although a fairly new recognized holiday–only being celebrated as a public holiday in 2005, and before 1983 it was Flag Day–nevertheless it coincides with the date of the election of King Gustav Vasa in 1523 and the adoption of a new Constitution in 1809. A nice description of the Holiday can be found 
Arkivverket-DigitalArkivet (the Norwegian National Archives-Digital Archives) has 
One of the great, but often overlooked, resources for Swedish-American research are the ethnic newspapers that were available to most Swedish immigrants. They read these papers, usually published in Swedish, for news from home or news about other friends who had migrated to the U.S. It is estimated that there were around 600 published titles of Swedish-American newspapers, albeit some had for short runs. Many of these newspapers still exist, but you may need to do a bit of searching. The newspapers exist as hard copies in archives, some have been microfilmed, and a few have been digitized.
To all my Norwegian friends and family “Gratulerer med dagen” on this syttende mai! Learn more about Norway’s Constitution Day 
ArkivDigital
For those working in more recent Swedish records there is a very helpful resource