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Math: Carl .G. Jacobi

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Tamerra London

on 28 October 2016

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Transcript of Math: Carl .G. Jacobi

Born: 10 -Dec- 1804
Died: 18 -Feb- 1851

Carl .G. Jacobi
Important dates
Carl G Jacobi collaborated with the following:
His accomplishments
Biographical info
Jacobi's Quotes...
"Mathematics is the science of what is clear by itself".
"One should always generalize."
"The real end of science is the honor of the human mind".
"It is true that Fourier had the opinion that the principal aim of mathematics was public utility and explanation of natural phenomena; but a philosopher like him should have known that the sole end of science is the honor of the human mind, and that under this title a question about numbers is worth as much a question about the system of the world."
Jacobi first used the "Jacobian" (an n × n determinant) It was not first used by Jacobi himself but first used by Agustin Cauchy.
Jacobi proved that if a single-valued function of one variable is doubly periodic then the ratio of the periods are non-real. Consequently, this result encouraged much further work in this area.
He Proved that the "Jacobian" of "n" functions vanishes if and only if the function is related. (Agustin Cauchy,another mathematician, had already proven the "if" part). He also did important work on partial differential equations and their application to physics.
Jacobi's Death
Jacobi died on Berlin February 18 in 1851.
In January 1851 he contracted influenza, then he contracted smallpox before he had regained his strength. He died a few days after contracting smallpox.
The uses of the "Jacobian" in past/modern society
Jacobi's early education
His name is probably best known from the "Jacobian", an n × n determinant formed from a set of n functions in n unknowns.
but Jacobi did write a long memoir about it in 1841, and proved that the "Jacobian" of n functions vanishes if and only if the functions are related
The "Jacobian" is used in many branches of mathematics and mechanics in both theoretical studies and numerical calculations in both the past and modern societies.
Jacobi was born December 10, 1804 in Potsdam, Kingdom of Prussia.
He studied at the Berlin university, where he obtained the degree of Doctor Philosophy in 1825.
When Jacobi was 11, he entered a Gymnasium (advanced secondary school) in Potsdam. He was so advanced that while still in his first year of schooling, he was put into the final year class. Jacobi was still only 12 years old when he had reached the necessary standard to enter a university. Due to Jacobi's young age the University of Berlin did not accept him, therefore he had to remain in the same class at the Gymnasium in Potsdam until he was 16 years old.
Carl Gauss
Neils Henrik Abel
Agustin Cauchy
In which city way Carl G Jacobi born?
a) Agrinio
b) Berlin
c) Potsdam
d) Lisbon
At what age did Jacobi reach the necessary standard to enter a University?
a) 12
b) 21
c) 7
d) 5
Fill in the Quote!
" __________ is the science of what is clear by itself"
a) Math homework
b) Religion
c) Education
d) Mathematics
True or False.
The "Jacobian" was first used by Jacobi himself?
a) True
b) False
The Jacobian formula
The "Jacobian" is the change of Variables and multiple intervals.
Youtube video
Full transcript