This text offers a useful new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications in various disciplines. Features: provides a thorough discussion about some of the task image processing, pattern recognition, computer vision, robotics and computer graphics using geometric algebra framework; introduce nonspecialists to the screw theory in the framework of geometric algebra; explore new developments in the domain Clifford Clifford Fourier Transform and Wavelet Transform; presents a detailed study of fluid flow problems with quaternionic analysis; test new algorithms for computing geometric and cognitive neural systems; analysis computer software package for extensive computation in algebraic geometry.