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Gauss : 1777 - 1855
Carl Friedrich Gauss is an eighteenth and nineteenth century mathematician. He was born in 1777 in Germany. German mathematician Gauss continued to develop mathematics until the end of his life. He was born in a particularly illiterate poor family. His father worked as a stone cutter and also as a guard. Gauss demonstrated an aptitude for mathematics from an early age. It is also said that at a young age he pointed out the error in relation to his father's monthly salary. It is also said that he used to show very fast ability in arithmetic. It is also mentioned that when he was 9 years old, what he had to teach him was not much more than what he taught the boys. He did very important studies in numerology and number theory. Gauss, who also became a professor of physics, died in Germany in 1855.
Mathematical contribution of Gauss
Despite being born in an illiterate and ordinary family, Gauss studied deeply in the fields of mathematics and science. At an early age, he was surprised to discover a mathematical error in his father's book keeping. At the age of 10, he gave the sum of the points from 1 to 100 to the teacher of the school he studied. He said the problem
1+100=101
2+99=101
.. .. ..
50+51=101
50x101=5050 were deduced. Thus he demonstrated his mathematical skills at a young age. Now his mathematical contribution is presented below in point form.
• Gauss tried to prove Euclid's fifth postulate from 1792, but after he discovered that there was a difference with Sacher's postulate in 1813, he mentioned that there is a possibility of developing a geometry different from Euclid.
• Constructed a regular polygon with 17 sides.
Traditionally, ruler and compass (Euclidean tools) have included problems related to constructing regular polygons. Gauss created a regular polygon with 17 sides. It is said that he solved an algebraic equation containing 17 degrees to create this regular polygon. He also mentioned a formula related to the construction of regular polygons containing P-Ota Bhuja. If P is an odd regular number then with the help of compass and ruler a regular polygon can be constructed where p is of form or P=(2^2^k)+1. Or P can be written as (2^2^2^k)+1.
• He studied Euclidean geometry and did further work on it.
• Stated that every positive number can be written as the sum of three triangular numbers.
• Studied the relation of elliptic function.
• Provided proof of Fundamental theorem of algebra.
• Helped in the development of number theory by publishing a work called Disquisitiones arithmeticae.
• Mentioned the notion of theory of congruence in number theory and advanced the study of its characteristics.
• Provided proof of Quadratic reciprocity law.
• Apart from mathematics, worked in various fields of astronomy, physics.
Mathematical contribution of Gauss
Despite being born in an illiterate and ordinary family, Gauss studied deeply in the fields of mathematics and science. At an early age, he was surprised to discover a mathematical error in his father's book keeping. At the age of 10, he gave the sum of the points from 1 to 100 to the teacher of the school he studied. He said the problem
1+100=101
2+99=101
.. .. ..
50+51=101
50x101=5050 were deduced. Thus he demonstrated his mathematical skills at a young age. Now his mathematical contribution is presented below in point form.
• Gauss tried to prove Euclid's fifth postulate from 1792, but after he discovered that there was a difference with Sacher's postulate in 1813, he mentioned that there is a possibility of developing a geometry different from Euclid.
• Constructed a regular polygon with 17 sides.
Traditionally, ruler and compass (Euclidean tools) have included problems related to constructing regular polygons. Gauss created a regular polygon with 17 sides. It is said that he solved an algebraic equation containing 17 degrees to create this regular polygon. He also mentioned a formula related to the construction of regular polygons containing P-Ota Bhuja. If P is an odd regular number then with the help of compass and ruler a regular polygon can be constructed where p is of form or P=(2^2^k)+1. Or P can be written as (2^2^2^k)+1.
• He studied Euclidean geometry and did further work on it.
• Stated that every positive number can be written as the sum of three triangular numbers.
• Studied the relation of elliptic function.
• Provided proof of Fundamental theorem of algebra.
• Helped in the development of number theory by publishing a work called Disquisitiones arithmeticae.
• Mentioned the notion of theory of congruence in number theory and advanced the study of its characteristics.
• Provided proof of Quadratic reciprocity law.
• Apart from mathematics, worked in various fields of astronomy, physics.
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