Abel showed that there is no general algebraic solution for the roots of a quintic equation, or any general polynomial equation of degree greater than four, in terms of explicit algebraic operations.

Table of Contents

## What did Niels Abel discover?

Abel showed that there is no general algebraic solution for the roots of a quintic equation, or any general polynomial equation of degree greater than four, in terms of explicit algebraic operations.

## What was Niels Henrik Abel known for?

Niels Henrik Abel, (born August 5, 1802, island of Finnøy, near Stavanger, Norway—died April 6, 1829, Froland), Norwegian mathematician, a pioneer in the development of several branches of modern mathematics.

**How did Isaac Newton discover the binomial theorem?**

Newton himself used the method as a way of finding areas under curves. He noticed certain patterns hidden in the integer binomial sequence appeared in relation with curves and then applied them to rationals, finally obtained the generalized binomial sequence and the generalized binomial theorem.

**What famous mathematician and physicist found an answer to the binomial theorem that that mathematicians have struggled to solve for years?**

Isaac Newton discovered about 1665 and later stated, in 1676, without proof, the general form of the theorem (for any real number n), and a proof by John Colson was published in 1736.

### Who introduced the term Abelian group in Honour of Niels Abel?

“With Evariste Galois (whom he never met), Abel founded the theory of groups (commutative groups are known as Abelian groups in his honour), and his early death ranks as one of the great tragedies of 19th century mathematics…

### Who invented group theory?

The earliest study of groups as such probably goes back to the work of Lagrange in the late 18th century. However, this work was somewhat isolated, and 1846 publications of Augustin Louis Cauchy and Galois are more commonly referred to as the beginning of group theory.

**What did Niels Bohr major in?**

physics

In 1903, Bohr enrolled as an undergraduate at Copenhagen University. His major was physics, which he studied under Professor Christian Christiansen, the university’s only professor of physics at that time.

**Who formulated the binomial theorem?**

Isaac Newton

Isaac Newton is generally credited with the generalized binomial theorem, valid for any rational exponent.

#### How is binomial theorem used in real life?

Real-world use of Binomial Theorem: The binomial theorem is used heavily in Statistical and Probability Analyses. It is so much useful as our economy depends on Statistical and Probability Analyses. In higher mathematics and calculation, the Binomial Theorem is used in finding roots of equations in higher powers.