Bit late to the party, but I can warmly recommend "Discrete mathematics with applications" by Susanna Epp. There are a couple of books with similar titles, but the ones by Epp are amazingly well written. An incredible amount of care and attention to detail went into this textbook, and it shows. Excellent for self study.

The Math Sorcerer did a video on an older edition, which is just a lovely ode to the book, the man is in love. https://www.youtube.com/watch?v=FPr5-X9nZc4