Geometry of Knowledge for Intelligent Systems

The book is on the geometry of agent knowledge. The important concept which we study in this book is the Field and its Geometric Representation. To develop a geometric image of the gravity, Einstein used Tensor Calculus but this is very different from the knowledge instruments that are used now. For instance techniques of data mining, neural networks, formal concept analysis, quantum computer and other topics are quite different from tensor calculus. Our aim in this book is to rebuild the tensor calculus and develop a new representation. By using new geometric image we can unify all the topics that have been studied in recent years to create a bridge between the traditional physical phenomena based on an individual and subjective approach to the knowledge.