Although the author of this work has published many works on the Piero Sraffa´work, this long article is dedicated specifically to the mathematics contained in his capital book, throughout his book, chapter by chapter. Such an effort can be justified because there is nothing similar in Spanish lenguage and because, as we will see, it may be allow us to clarify, to rectify and to develop, although limitedly, the mathematical content. The purpose is that it serves for the reading of Production of commodities by means of commodities, for to be able to enjoy its analytical economic content and also not to get lost with, sometimes, the disguised mathematical ramblings, sometimes also, of economic reasonings of the great turinés. Although the opposite is normal, the economist Italian's effort to build an economics book where mathematics seems to remain hidden is extraordinary. Of course, the particular use of Sraffa is updated to the current mathematical signs. In the present text, we have tried to be as original as possible so as not to repeat the inevitable partial aspects of previous works. In particular, this has been the case about the fixed capital and partially with the issues of reducing capital to dated work and joint production. On the rest has been tried to find some original elements.
Hovewer the previuos comments, some of the conceptual contents have inevitable been included. The reason for this is that without understanding, critizing or devoloping them, the formal aspects can not be understood.