the top 10 most beautiful theorems
A 1988 poll of readers of the Mathematical Intelligencer ranked some of the most well-known theorems in mathematics thus:
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1.
Euler’s identity,
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2.
Euler’s formula for a polyhedron,
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3.
There are infinitely many prime numbers. See Euclid’s proof that there are infinitely many primes.
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4.
There are only 5 regular polyhedra
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5.
The sum of the reciprocals of the squares of the positive integers is . See the Basel problem.
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6.
A continuous mapping of a closed unit disk into itself has a fixed point
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7.
The square root of 2 is irrational
- 8.
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9.
Every plane map can be colored with just 4 colors
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10.
Every prime number of the form is the sum of two square integers in only one way
References
- 1 David Wells, The Penguin Book of Curious and Interesting Mathematics. London: Penguin Books (1997): 126 - 127
Title | the top 10 most beautiful theorems |
---|---|
Canonical name | TheTop10MostBeautifulTheorems |
Date of creation | 2013-03-22 18:53:52 |
Last modified on | 2013-03-22 18:53:52 |
Owner | PrimeFan (13766) |
Last modified by | PrimeFan (13766) |
Numerical id | 5 |
Author | PrimeFan (13766) |
Entry type | Feature |
Classification | msc 01A60 |
Classification | msc 00A99 |