Chris Aldrich

David Spivak's Category Theory for the Sciences [http://www.amazon.com/gp/product/0262028131/ref=as_li_tl?ie=UTF8&camp=1789&creative=390957&creativeASIN=0262028131&linkCode=as2&tag=math01-20&linkId=SOMOC37JLZVBJMQH] has lots of great examples (with solutions depending on your edition) that comes about as close to such a text as you're likely to find. It rides a fine line between mathematics and engineering/sciences with a stronger foot in mathematics. Keep in mind that there are multiple versions of his "open" text available on the interwebs.[http://cat.boffosocko.com/textbooks/]