Animation maths

Animation Maths opens with arithmetic, solving systems and trigonometry fundamentals, which are necessarily refreshed. It then guides us through standard topics such as real functions, the relevant golden section, coordinate systems and vectors. All the subsequent topics are programming oriented and calculus-free, without violating their true nature, and have been selected to add efficiency to your games and animations. In addition to programmable kinematics, Animation Maths offers collision detection, and the parametric equations of lines and planes in 3D, both for programming purposes and to reveal the inner workings of beziers. Matrices are covered in great detail, including their overwhelming gallery of applications amongst which all transformations, scene graph designs and view transformations are outtakes of the generic graphic pipeline. On its extension to complex numbers, Animation Maths shows the abilities of quaternions as superior 3D rotators.