Niels’ family suffered a severe crisis after 1818. Niels he died and as a consequence the family was broken both emotionally and financially. Bernt Michael Holmboe helped Niels With a scholarship to stay in school and his friends raised enough money for Niels to apply to Royal Frederick University.
When Niels He started college in 1821 and was already one of the best mathematicians in the country. His first mathematical achievement was the “quintic equation” in radicals, a problem to which mathematicians had been unable to find a solution for more than two centuries. After solving Niels was approved by the leading mathematicians of the time, Professor Ferdinand Degen, a prominent mathematician, stated that Niels should not waste time with such small problems but should move on to more advanced and transcendent elliptic functions.
After graduation Niels he had no place to live. His university professors helped him financially so that he could find a place to stay. But his financial crisis did not prevent him from working on his mathematical ambition. Your first article ‘Magazine for Naturvidenskaberne‘was published in 1823 in the Norwegian scientific journal. He wrote many other articles and then traveled to Copenhagen with the financial help of his professor. There he met many prominent mathematicians and also worked on ‘Fermat’s Last Theorem’.
On his return from Copenhagen, Niels he applied for a scholarship to be able to travel further and meet mathematicians from Germany and France. However, after he was offered 200 speciedaler annually to study the German and French language, Niels decided to stay in Chrisitiana (now Oslo). His most notable work was’Memoire sur les équations algébriques où on demonstrating the impossibility of the resolution of l’équation générale du cinquième degré‘(Memorandum on algebraic equations, in which the impossibility of solving the general equation of the fifth degree is proved), published in 1824.
Niels He also contributed to many magazines throughout his career, including ‘Journal für die reine und angewandte Mathematik‘, for which he wrote seven articles and’Crelles Journal‘. His research in ‘function theory’ led to a new form of functions known as’abelian functions‘. His most important work was for the French Academy of Sciences and was a theorem on the addition of algebraic differentials.
Niels He maintained his financial straits throughout his life and this prevented him from fulfilling many of his dreams even though he had a lot of help, but it was not enough to achieve all his plans. He was the inventor of group theory and gave proofs of the binomial theorem.
Niels died of tuberculosis in Paris on April 6, 1829.