Here are two that are also not necessarily "wilderness survival" or "bushcraft skills" books, but as Adi mentioned, the skills are directly transferrable.
1) The Forgotten Arts and Crafts - Skills from Bygone Days by John Seymour ($25.00 US - a steal!!!)
This extrordinary 380 pg, hardcover book, written by "the father of self-sufficiency" covers EVERY traditional craft from blacksmith to bee-keeping, to wainwright to housewifery. There are over 1700 illustrations and photos which lend understanding to the many tools and techniques covered in this volume.
Extensive chapters on Woodland Skills, Crafts of the Field, and Woodshop Crafts cover topics that are directly applicable to wilderness living - Coppicing, Charcoal burning, Basketry, Peat Cutting, Coracle Making, Rope Making, Tanning and Curing, Net Making, Knife Making, Soap and Lye Making, and on and on and on......
No power tools are used... there were none during this time period (other than water and horse power). This book covers it all and I do mean ALL!
2) Ernest Thompson Seton's Big Book of Country Living by Ernest Thompson Seton ($19.95 US - also a steal)
E.T.S. is a renound naturalist writer, artist, and founding leader of the Boy Scouts of America. The 580 pages of this softcover volume cover many of the same topics as The Forgotten Arts and Crafts but, then goes wayyyyy beyond with games, plant and track identification, communication and sign language, essential knots, cooking wild edibles, and much, much more. A full 160 pages are devoted to plant id alone!!! Not only is this a helpful book, it is, at times, a very funny book filled with ancedotes and first-hand accounts of the author's life. I LOVE THIS BOOK! And, as authored by E.T.S., you can be assured that it covers topics usefull in the outdoors.