Exam III Review History of Math

The greatest of the French mathematicians who wrote Coursd’analyse.

First proved that it was impossible to find the exact root of a 5th degree polynomial.

Published an important work on calculus that involved the isochrones.

Gauss’ most famous student who published an important paper on prime number theory.

Newton referred to derivative as

What is the idea behind Galois Theory?

Dominated 18th century mathematics. Published 850 papers with more than 25,000 pages.

What is Euler's Formula for solids?

A key figure in the exchange of information. He has a set of prime numbers named after him.

Invented the infinity symbol and worked with power series.

All polynomials have at least one complex zero.

a^n + b^n = c^n is called

Invented an entirely new way of approaching geometric problems called analytic geometry.

Published Art of Conjecture together with his sponsor L’Hospital.

Studied an important series that consists of the sum of sine and cosine terms.

A Jewish mathematician who wrote The New Fundamental Theory of Elliptic Functions.

Galois sent his manuscript to this female supporter.

Used the term imaginary number and devised the coordinate system we use to graph equations.

A French engineer whose most original contributions were in the field of projective geometry.

A prime number that is one less than a power of 2 is called a ___________ prime. (7)

f(x) = 3x^5 - 2x^4 - 3x^3 + 5x^2 - 10x + 7 has how many possible positive zeros?

Was able to explain calculus in an understandble way. Introduced familiar notation of calculus

1/k is called the

Showed how to construct a regular 17-gon.

Has a famous triangle named after him, which he did not steal from Jia Xian. Dr. Silvey's cat.

What is the vertex angle in a 25-sided polygon?

Wrote a paper that led to idea of no general method for solving 5th degree polynomial.

Wrote On Reasoning in a Dice Game and used the quadrature of conics to improve the approx of π.

Has a famous curve named after her.

Wrote Principia, which included the first use of calculus.

An infinitesimal is

Sponsor of Johann Bernoulli and worked with cycloids.

Was expelled from law school for his pranks. Wrote about Abelian Functions.

A famous mathematician who died before the age of 21 and who revolutionized modern algebra.

Fermat approached problems using ________ and DesCartes used ___________.

Derivatives represent