How can I calculate a ball’s outgoing direction after an oblique collision?

I am interested in understanding the physics and computational modeling of a ball’s motion, with the eventual goal of developing a physics-based game.

Consider a ball moving toward a rigid surface at an angle. After the collision, the ball may change direction, speed, and spin. I would like to understand how these changes can be predicted mathematically.

In particular, I am interested in how the following factors affect the ball’s motion after impact:

• The incoming velocity and angle of impact.
• The coefficient of restitution.
• Friction between the ball and the surface.
• The ball’s initial spin and the resulting change in angular velocity.

How can these factors be incorporated into a physical model to calculate the ball’s outgoing velocity and direction after the collision?

My goal is to understand the underlying mechanics and eventually implement them in a numerical simulation, rather than use a predefined game-engine physics system.

What fundamental physics concepts, equations, and mathematical models should I study to approach this problem correctly? References to textbooks or other rigorous learning resources would also be appreciated.