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All of the efforts to build an intelligent machine have not yet produced a satisfactory autonomous system, despite the great progress that has been made in developing computer hardware over the last three decades. The complexity of the tasks that a cognitive system must perform is still not understood well enough. Recent progress in signal theory, computer vision and robotics shows that they are somehow separated from each other. The use of linear algebra over the real and complex numbers has not been adequate for the modeling of higher order geometric objects such as lines, planes and volumes. The aim of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science and engineering using geometric algebra.
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