The entire text is written and laid out more effectively, with more illustrations. The document itself is divided into different parts, which are again divided into chapters. Although the chapters contain cross-references, they are also individually accessible to readers with little previous knowledge. There are larger and smaller chapters: While the larger chapters should provide profound insight into a paradigm of neural networks, the classic neural network structure: the perceptron, and its learning procedures, the smaller chapters give a short overview, which is also explained in the introduction of each chapter. In addition to all the definitions and explanations, I have included some excursuses to provide interesting information not directly related to the subject. The aim of this work is, even if it could not be completed at first, to close this gap bit by bit and provide easy access to the subject.