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
The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the impossibility of it. However, if I am not mistaken, they have not as yet succeeded. I… — 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
