martes, 23 de noviembre de 2010
knowing gauss more
Honoring Gauss
domingo, 21 de noviembre de 2010
youtube links for info about Gauss
Gauss timeline
1777 – Gauss is born
1780 - Corrected his father’s mistaken calculations (start of genius mind)
1792 – Education in Carolinum a honored university (with Duke’s scholarship)
1795 – Education in University of Göttingen
1798 –17-gon by ruler and compass (numeric theory)
1801- Numeric theory published
1805 – Marries Johanna
1806 - 1st son
1807 - Gauss became director of observatory
1808 – 1st daughter
1809 – 2nd son
1809 – Widowed
1809 - Theoria motus corporum celestium
1810 – Marries Friederica
1811- 3rd son
1813 – 4th son
1816 – 2nd daughter
1818- Geodesic survey of the state of Hanover
1829 - Discovered the non-Euclidean geometry
1833 - Constructed the first electromagnetic telegraph
1855 - Gauss dies
martes, 16 de noviembre de 2010
Birth : April 30, 1777
Brunswick, Germany
Death: February 23, 1855
Göttingen, Germany
Profession: mathematician and physicist
Family relationship:
1. Wife: Johanna Osthoff (1780 - 1809)
2. Son: Joseph (1806 - 1873)
3. Daughter: Wilhelmina (1808 - 1846)
4. Son: Louis (1809 - 1810)
5. Wife: Friederica Wilhelmine Waldeck ( ? - 1831)
6. Son: Eugene (1811-1896)
7. Son: Wilhelm (1813 - 1879)
8. Daughter: Therese (1816 - 1864)
1. Any regular polygon with a number of sides which is a Fermat prime can be constructed by compass and straightedge
2. Invented modular arithmetic
3. Proved the quadratic reciprocity law
4. Discovered that every positive integer is representable as a sum of at most three triangular numbers (with well known word : Heureka! )
5. If a random number nearby some large number N is selected, the chance of it being prime is about 1 / ln(N), where ln(N) denotes the natural logarithm of N
6. the construction of a regular 17-gon by ruler and compasses
7. wrote a book called Disquisitiones Arithmeticae (1801)- quadratic reciprocity
8. Theoria motus corporum coelestium in sectionibus conicis solem ambientum (theory of motion of the celestial bodies moving in conic sections around the sun).
9. non-Euclidean geometry
10. electromagnetic telegraph
Honours awarded to Carl Friedrich Gauss :
Fellow of the Royal Society:
1804
Fellow of the Royal Society of Edinburgh:
1820
Royal Society Copley Medal:
1838
Lunar features:
Crater Gauss
Popular biographies list:
Number 11
biography
"THE PRINCE OF MATHEMATICIANS" BIOGRAPHY
Born on April 30th in 1777 and died on February 23rd in 1855.
He was a German mathematics prodigy and a genius scientist who gave his knowledge to contribute on different science fields (astronomy, geophysics, electrostatics, analysis, optics…) to help the human race develop its limits. He even has a lunar crater named after him!
In primary school after he misbehaved at class his math teacher gave him a task (add a list of integers in arithmetic progression) and within seconds he answered correctly. He had realized that pair wise addition of terms from opposite ends of the list yielded identical intermediate sums: 1 + 100 = 101, 2 + 99 = 101, 3 + 98 = 101, and so on, for a total sum of 50 × 101 = 5050.
His brilliant mind pleased the duke and so he sent him with a scholarship to Collegium Carolinum a honored university (1792 to 1795), and then to the University of Göttingen (1795 to 1798). During his college days he discovered other theorems:
1. Any regular polygon with a number of sides which is a Fermat prime can be constructed by compass and straightedge
2. Invented modular arithmetic
3. Proved the quadratic reciprocity law
4. Discovered that every positive integer is representable as a sum of at most three triangular numbers (with well known word : Heureka! )
5. If a random number nearby some large number N is selected, the chance of it being prime is about 1 / ln(N), where ln(N) denotes the natural logarithm of N
During 1795 he left College and met a new friend (Farkas Bolyai). Also he discovered another famous theorem: the construction of a regular 17-gon by ruler and compasses.
Then he returned to Brunswick (University of Göttingen) to receive his diploma.
Later the same duke decided to keep exploiting that brilliant mind and sent him for a doctoral dissertation to the University of Helmstedt.
After his studies finished he dedicated himself to research and wrote a book called Disquisitiones Arithmeticae (1801)- quadratic reciprocity.
In 1807 he became director of observatory in Göttingen and lost his father. In 1809 he pusblished an important work on astronomy and lost his wife. As you see his life was balanced.
After long years of analysis he discovered the non-Euclidean geometry in 1829 but his work was published 3 years later.
In 1831 he contributed with data to his professor in physics on magnetism. Gauss and Weber constructed the first electromagnetic telegraph in 1833!
After a exhausting but exiting life he was diagnosed with a enlarged heart. On Febuary 23, 1855, bad news arrived to scientist Gauss had gone to a better place because of what is most likely a heart failure.
Still after his death he kept attributing information to science, since his brain was kept and investigated. Its weight was 1,492 g and the cerebral area equal to 219,588 cm2. Highly developed convolutions were also found which may be the reason for his hard working brain.