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 finite; but is that permissible? I think not. Where is it demonstrated that one… — Niels Henrik Abel Copy Share Image
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 rigorously determined. In other words, the things which are the most important in mathematics are… — Niels Henrik Abel Copy Share Image
Until now the theory of infinite series in general has been very badly grounded. One applies all the operations to infinite series as if… — Niels Henrik Abel Copy Share Image
There are very few theorems in advanced analysis which have been demonstrated in a logically tenable manner. Everywhere one finds this miserable way of… — Niels Henrik Abel Copy Share Image
With the exception of the geometrical series, there does not exist in all of mathematics a single infinite series the sum of which has… — Niels Henrik Abel Copy Share Image
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. — Niels Henrik Abel Copy Share Image
The divergent series are the invention of the devil, and it is a shame to base on them any demonstration whatsoever. By using them,… — Niels Henrik Abel Copy Share Image
I shall devote all my efforts to bring light into the immense obscurity that today reigns in Analysis. It so lacks any plan or… — Niels Henrik Abel Copy Share Image
“ He is like the fox, who effaces his tracks in the sand with his tail. { Describing the writing style of famous mathematician… — Niels Henrik Abel Copy Share Image
He is like the fox, who effaces his tracks in the sand with his tail. — Niels Henrik Abel Copy Share Image
The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the… — Niels Henrik Abel Copy Share Image
