|
|
|
Featured Papers from Rad Essays |
|
|
|
|
This is only a preview of the paper
Click here to register and get the full text.
Existing members click here to login
|
|
|
Niels Henrik Abel was born on August 5, 1802 in the small village of Findoe, Norway. ... During this time, Norway was also dealing with difficult economic situations which did not offer any aid to the Abel family’s state. ... Abel was Abel to give proof of the binomial theorem. ... Just three years later, at the age of 19, Abel began to attack the theory of any general algebraic solution for the roots of a quintic equation or any other general polynomial equation of a degree greater than four, in terms of explicit algebraic. Abel thought that he had solved the problem and submitted his work for publication. ... This discovery led Abel to a proof that no such solution exists. ... The proof of the impossibility of solving the quintic equation by radicals was demonstrated through what is now known as the Abel-Ruffini theorem. ... Abel later published furth proof in 1824. The Abel-Ruffini theorem says that there are some fifth-degree equations whose solution cannot be so expressed. ... Abel’s explanation required that he invent an extremely important branch of mathematics known as group theory. This branch, useful for many areas in both math and physics, took upon the name of Abel and became known as the abelian group, which is defined as a group ( G ) that is commutative, i.
Approximate Word count = 946
Approximate Pages = 3.8
(250 words per page double spaced)
|
|
|
|
|
|