Probability and Laplace/Fourier transforms to solve limits/integrals from calculus.

In my opinion, the best books to learn these stuff may be found in physics and engineering textbooks. Here are some reference books:

  1. Introduction to Methods of Applied Mathematics or Advanced Mathematical Methods for Scientists and Engineers by Sean Mauch
  2. Mathematical Methods for Physicists: A Concise Introduction by Tai L. Chow
  3. Mathematics for Electrical Engineering and Computing by Mary P Attenborough
  4. Mathematics for Physics I by Michael Stone and Paul Goldbart
  5. Mathematical Methods in the Physical Sciences by Mary L. Boas

My most personal recommendation book to learn these three subjects is book number 5. In addition, you might find these old books interesting to learn (although, these books don't discuss those subjects specifically): A Treatise on Integral Calculus Volume 1 and Volume 2 by Joseph Edwards. Well, I hope all these books can help you.