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# What math did Euler do?

Updated: 10/19/2022

Wiki User

13y ago

- Euler proved that the fifth Fermat number 210 + 1 isn't prime.

- He proved that all even perfect numbers can be expressed as N = 2p-1(2p-1), where p is some Prime number.

- He found 60 amicable numbers at a time when only 3 were known.

- He was the first person to use the symbol e to represent the irrational number 2.7128...

- He proved that e is irrational.

- He popularized the symbol Ãâ‚¬ for the irrational number 3.1415...

- He introduced the symbol ÃŽÂ£ to represent summation.

- He showed that powers could be imaginary or complex numbers.

- He developed the trigonometric expansion of Ãâ‚¬/2.

- He invented graph theory.

- He developed the Euler's constant, which is an approximation of the sum of the harmonic series.

- He proved Fermat's last theorem for n = 4; i.e that x4 + y4 = z4 can't be solved with positive integers for x, y, and z.

- He developed the notation f(x) for functions.

- He found the geometric result known as Euler's characteristic, V + F - E where V is the number of vertices, F is the number of faces, and E is the number of edges of a polyhedra that is topologically equivalent to a sphere, which directly lead to the invention of the mathematical discipline known as topology.

- He developed Euler's formula, eix = cos(x) + isin(x), where i is the imaginary number.

- He invented the mathematical discipline known as the calculus of variations.

- He introduced the zeta function as an infinite series, ÃŽÂ¶(s) = ÃŽÂ£Ã¢Ë†Å¾n=1(1/ns), and related it to an infinite product over all of the prime numbers pn, ÃŽÂ¶(s) = ÃŽ Ã¢Ë†Å¾n=1(1-1/pns)-1.

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### What did Leonhard Euler do for math?

Leonhard Euler made many contributions to math but the one thing he is most famous for is changing the base of the natural logarithim by using the letter e which is aka Euler's number

### Who was the introducer of the math symbol e?

Euler created the symbol.

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### Who introduced the math symbol e?

Leonhard Paul Euler

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### What type of math is leonhard euler famous for?

Calculus and Graph Theory.

### Did Leonhard Euler develop a type of math?

Euler made many contributions to virtually every area of math. His complete works fill a whole library shelf. You might say he invented graph theory.

### Where can one find something about a polyhedron?

A polyhedron is a math formula and information about it can be found in a math textbook or on Math Is Fun, Euler's Polyhedron Formula, Math Munch and Open Study.

### Who was Euler?

http://www.usna.edu/Users/math/meh/euler.html that is a website on him Leonhard Euler was a Swiss mathematician who made extensive contributions to a wide range of mathematics and physics. Euler is also the name of a type of mathematical software.Eulers rule is: F+V-2=E f=faces, v=verticies, e=edges

### Who came up with the little e in math?

Leonhard Euler, a aswiss mathematician, started to use the letter e for the constant in 1727. The first book mentioning it is Euler's Mechanica (1736)

### What are math constants?

Certain numbers like Pi and e and Euler's constant are know as math constants. A constant is a quantity assumed to have a fixed value in math. There are many constants, the ones I mentioned are only a few of the most famous ones.