The sources, at least for engineering section, are not useful at all. Assuming this stuff is needed in the first place: Spivak's calculus, while a fantastic r

The sources, at least for engineering section, are not useful at all. Assuming this stuff is needed in the first place: Spivak's calculus, while a fantastic read, was "difficult" for motivated honors students at institutions like Harvard. Great exposition, and great exercises, but it's mostly for aspiring math people who want to spend some time on the exercises. For example, within the first couple of chapters, readers will have to do epsilon-delta style of inequalities and basically learn the tricks, before reading about them in the "limit" chapter. For calculus, any lightweight calculus book would do. For analysis, Abbott's "Understanding analysis" is quite illuminating and if exercises are your thing and want to build up to real analysis from the natural numbers in an accessible way, then Tao's analysis volume 1 would be good. "All of statistics" is a bad introduction to statistics because it contains too many things (Kullback-leibler?!) early on?! It's a great book for a reference or for a refresher, but not something to learn from. Wackerly is light enough introduction to statistics, and for probability, Bertsekas!