Considered to be one of the three greatest mathematicians in history. Known for constructing a regular 17-sided polygon with only a compass and ruler (this feat was never discovered since the Ancient Greeks, who knew only up to 15 sides), concluding that any polygon with the number of sides equal to a Fermat prime can be constructed, works in his Disquisitiones Arithmeticae on number theory, developed the modulus notation, discovered the fundamental theorem of algebra, calculated the orbit of Ceres, various works on electromagnetism and geodesy, invented the heliotrope, and other contributions too numerous to mention. Did not publish his thoughts on non-Euclidean geometry for fear of being rejected. Considered to be the last universalist before Poincare.
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prime
Prime number In mathematics, a prime number (or prime) is a natural number greater than one whose only positive divisors are one and itself. Or for short: A prime number is a natural number with exactly two natural divisors. A natural number that is greater than one and is not a prime is called a composite number. The numbers zero and one are neither prime nor composite. The property of being a prime is called primality. Prime numbers are of fundamental importance in number theory.
Prime number In mathematics, a prime number (or prime) is a natural number greater than one whose only positive divisors are one and itself. Or for short: A prime number is a natural number with exactly two natural divisors. A natural number that is greater than one and is not a prime is called a composite number. The numbers zero and one are neither prime nor composite. The property of being a prime is called primality. Prime numbers are of fundamental importance in number theory.
Arithmetic
Arithmetic or arithmetics (from the Greek
word αριθμός = number) in common usage is a branch of (or the forerunner
of) mathematics
which records elementary properties of certain operations on numerals,
though in usage by professional mathematicians,
it often is treated as a synonym for number
theory. It is the oldest and simplest branch of mathematics, used widely
by almost everyone from simple daily counting to more advanced science
and business.
Modular
arithmetic
This article is about an algebra concept. See modulo for other uses.Modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" after they reach a certain value — the modulus. Modular arithmetic was introduced by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae published in 1801.
This article is about an algebra concept. See modulo for other uses.Modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" after they reach a certain value — the modulus. Modular arithmetic was introduced by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae published in 1801.
Heliotrope
(instrument)
The heliotrope is an instrument that reflects sunlight over great distances to mark the positions of participants in a land survey. The heliotrope was invented by the German mathematician Carl Friedrich Gauss.
The heliotrope is an instrument that reflects sunlight over great distances to mark the positions of participants in a land survey. The heliotrope was invented by the German mathematician Carl Friedrich Gauss.
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