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This book is a collection of nine papers which are published in the proceedings of some international conferences in which the author has participated and in some international journals, as well. The first on is titled "Some Applications of Machine Learning in Cryptography". In this paper it is pointed out that cryptography and machine learning, from the very beginning, were tightly related with the progress of the new technology. Some other papers are "Mathematics and AI", "Using the Algorithmization in Mathematics Teaching", etc...In the paper "Benefits from Integrating History of Mathematics into Teaching" we underline some of the reasons doing the integration of history of mathematics into teaching as well as in learning so much beneficial. The book finishes with the paper "Algebra and Society" in which we underline the importance of algebra in real life, from computer science, to medicine, economy and social sciences, in general.