This is the book it is hard to find. Arholma-Landsort and Gotland: Your Guide to the Hin the Stockholm Archipelago
This is the map I used and it was more than adequate, you really wouldn't need the book other than it provides interesting information on the islands.
This is a picture of downtown Sweden where you get off the Orlanda express from the airport. I generally stayed at the Radisson Royal Viking on Vasagatan street just around the corner from where the train stops. It is an easy walk from the train station and Gamla stan (the old city) is just s short and enjoyable walk from there (plus it was right next to my office). If you want more local color the Nordic Light and Nordic Sea hotels are right there also, the Nordic Sea was a little funky for me. There are some great hostiles in the area also but they are a good hike away. If this picture uploads it has the Arlanda Express and bookstore marked.
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The book/map store is on the other side of Vasagatan from the hotel and about 2 blocks to the right toward the river. There is also a tourist information center near it. There is a Maritime museum near Djurgarden an enjoyable 30 minute walk from the hotel that usually has some younger workers that are more than happy to answer questions and make recommendations about the archipelago. I could not find the place that I rented the kayaks and gear from they may not be in business now.