The R package for the text is called astsa. The package can be obtained from CRAN and its mirrors in the usual way. See the package notes page for further information. Also, Appendix R (pdf) has been updated to include information about the package.
A text on Nonlinear Time Series Analysis was published by Chapman-Hall in January 2014. The text can be used as a second course in time series analysis.
An easy version of the text that should be more suitable for an introductory course is now available (for free). This was accomplished by removing some sections and reworking some of the stories. You can download it here: tsa3EZ. The preface has more details on how this magic was performed and how to work the machine.
If you're at a University that subscribes to the Springer library, follow the link to the right. If you want to steal the text, it's pretty easy to find an illegal copy by doing an internet search on the title. You can get an illegal copy from LibGen but I take no responsibility if your machine gets infected or your mother whacks you upside the head for stealing.
To download R, go to CRAN and choose a mirror close to you. The installation includes help files and some user manuals. You can find helpful tutorials by following CRAN's link to Contributed Documentation. If you're new to R/Splus, then R for Beginners is a great introduction and Quick R is a helpful website.
The R issues for time series analysis page is still alive because, while everything changes, some things stay the same.
The html version of the R time series tutorial has been updated for edition 3. Go here to get your Quick Fix.