With the exception of the geometrical series, there does not exist in all of mathematics a single infinite series the sum of which has been rigorousl….

By studying the masters and not their pupils..

There are very few theorems in advanced analysis which have been demonstrated in a logically tenable manner. Everywhere one finds this miserable way ….

The divergent series are the invention of the devil, and it is a shame to base on them any demonstration whatsoever. By using them, one may draw any ….

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils..

The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the….

Until now the theory of infinite series in general has been very badly grounded. One applies all the operations to infinite series as if they were fi….

I shall devote all my efforts to bring light into the immense obscurity that today reigns in Analysis. It so lacks any plan or system, that one is re….

He is like the fox, who effaces his tracks in the sand with his tail..