Reddit reviews Technical Tennis: Racquets, Strings, Balls, Courts, Spin, and Bounce
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Get the book "Technical Tennis" by Cross and Lindsey. Chapter 4: Spin and Trajectory.
Also, as some one said, Magnus effect:
https://en.wikipedia.org/wiki/Magnus_effect
When thinking of spin I think it helps to breakdown spin into rotations around 3 fundamental axes: X, Y, and Z axis of the ball, with rotation around X axis for topspin (and backspin), Y axis for sidespin, and the Z axis. Any spin can therefore be thought of as the combination of spins around these three axes. For example, a ball with some topspin and some side spin can thought to be spinning around both the X and Y axes, which can then tell us how the ball with behave when traveling through the air, in this case, arcing downward and to the side.
It might be worth pointing out that Z axis spin (also called spiral spin) has no effect on the flight of the ball but can have a huge effect in the reaction of the ball off the court.