The monograph discusses the issues of methods of mathematical education of a future engineer. The integration model of the educational process is taken as a basis. According to this model, the mathematics course should be integrated into the engineering education system. At the same time, both the content and the teaching methodology acquire specific features that allow us to consider the subject as a special engineering mathematics. The authors carry out a methodological analysis of the concept of "engineering mathematics", introduce the main integrating structures and on this basis develop learning technologies that meet the specifics of the engineering worldview and methodology of technical sciences. It is addressed to researchers, specialists in the field of theory and methodology of vocational education, as well as teachers, graduate students and students of technical universities.