Mathematics training at a university as a model of scientific research

The monograph describes the concept of teaching mathematics, the essence of which is reflected in its name. Some integral properties of mathematics were identified, the presence of which does not depend on the field of mathematics, nor on the historical period of its development, or on the level of studies under discussion.
The feasibility of modeling these properties in the educational process is justified. The principles of writing tasks in mathematics are formulated, and on their basis a number of original collections of tasks were built. A model for preparing a group of students for research is proposed. A special language has been developed for a complete and compact description of the model. The process of invention by the author of some mathematical theorems is described.
The book is intended for mathematics teachers in universities, graduate students, mathematics of undergraduate and graduate students, and school teachers. A special target group is made up of teachers and students of pedagogical universities