Stroud or Stephenson books for mathematical methods/practice? A separate statistics reference; a basic A level book would do for now, like Understanding Statistics (Upton).
The engineering bods on FB seem to always mention these requirements on their reading lists; but there's of course more, many more texts to go with the bread and butter. To make finding these easier, you can also just search [insert branch] engineering reading list, and filter it down to UK universities/Rainforest UK student shopping lists. Though MIT OpenCourseware might be better as American degrees start at what would be considered year 1/4 in Scotland and Foundation in England and Wales, usually (their AP credit courses are similar to our A levels).
Obviously let us know if you have any specific interests later in the course, as it'd be easier to advise. The introductory stuff will be pretty general.