Niels Abel

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Niels Abel

Niels Abel

By studying the masters and not their pupils.More Niels Abel [03/29/2018 05:03:36]
He is like the fox, who effaces his tracks in the sand with his
tail.More Niels Abel [03/29/2018 05:03:36]
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 really astonished that there are so many people who devote themselves to it - and, still worse, it is absolutely devoid of any rigor.More Niels Abel [03/29/2018 05:03:36]
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils.More Niels Abel [03/29/2018 05:03:36]
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 obtains the differential of an infinite series by taking the differential of each term? Nothing is easier than to give instances where this is not so.More Niels Abel [03/29/2018 05:03:36]
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 also those which have the least foundation.More Niels Abel [03/29/2018 05:03:36]
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 therefore dare hope that the mathematicians will receive this memoir with good will, for its purpose is to fill this gap in the theory of algebraic equations.More Niels Abel [03/29/2018 05:03:36]
There are very few theorems in advanced analysis which have been demonstrated in a logically tenable manner. Everywhere one finds this miserable way of concluding from the special to the general and it is extremely peculiar that such a procedure has led to so few of the so-called paradoxes.More Niels Abel [03/29/2018 05:03:36]
He is like the fox, who effaces his tracks in the sand with his tail.More Niels Abel [03/29/2018 05:03:36]

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