In this short communication, we revised a mathematical theory on scientific research created by doctor Francisco Bulnes, to be applied in the modern research, which proves, and explains the unity that must exist in applied and theoretical research to obtain true results considering the necessary and sufficient contents in a scientific research. Also because of this theory is deduced a mathematical theory of engineering, that is to say, a mathematical theory of the imagery and creativity necessaries in engineering research. Banach spaces are created and used to develop the doctor Bulnes's theory, which determines a methodology of scientific research based in mathematics, or at least whose rector axis are the mathematics. Here the difference of knowledge levels are showed in evident way, classifying the research in three levels, where the fundamental level is the creation of a good and consistent theory. After in second plane will come the application of this theory in the inductive or applied sciences level creating a sub-theory. Finally, in the level more applicative or technological, we will have the prototypes, which will derive in the technological products giving solution to society necessities. One principal result of this theory is that the engineering does technology on energy.