Some books that have helped me with Danish are:Teach Yourself Danish: Complete Course Packagehttp://www.amazon.com/Yourself-Danish-Complete-Course-Package/dp/007145103X/ref=tmm_abk_title_0?ie=UTF8&qid=1289911314&sr=1-1Beginner's Danish with 2 Audio CDshttp://www.amazon.com/Beginners-Danish-Audio-CDs/dp/0781811996/ref=sr_1_4?s=books&ie=UTF8&qid=1289911390&sr=1-4
This second one is the one I'm currently using. I like the recorded dialogue both spoken normally and then slowed down for repetition because you can hear the differences between rapid speech, and 'correct' pronunciation.
Also, iTunes is an invaluable source for material, with tons of apps, music, and free podcasts on there that you can use. One I highly recommend is:Learn Danish with Copenhagencast
by Louise Sand:
This a great introduction, not only to the language, but also to the culture of Denmark, complete with links to her website which includes sections on vocabulary, exercises, and idiomatic expressions. Additionally, Louise's energy and passion for language and culture is contagious; you really feel like she's right in front of you, talking you through the basics. It's a shame she hasn't continued with the podcast, but she did have a baby recently so I'm sure she's busy.
Also on iTunes are Denmark's radio stations. Search for DR P1
, DR P2
, DR P3
, and DR P4
. Obviously since these are radio broadcasts, they're not meant to be educational in the sense that they guide you in the language; they immerse you completely. But that in itself is educational because you can hear actual speakers and how they differ (cf. radio broadcasts from New York and, say, Memphis TN).
There's so much out there, and much more being added every day. I hope these help; let us know!