Carl Friedrich Gauss by Marina García Lorenzo

Carl Friedrich Gauss' biography

1. CARL FRIEDRICH GAUSS

2. Biography
He wasborn30 April1777 in Brunswick, and
died23 February1855 at ageof 77 in Göttingen,
Kingdomof Hanover. He was aGerman
mathematicianwho contributed significantly to
many fields, including number theory,
algebra, statistics, astronomy, geophysics and
other more. At the age of seven started
elementary school, and his potential was noticed
almost immediately. In 1788 Gauss began his
education at theGymnasiumwith the help of
BüttnerandBartels, where he learnt High
German and Latin. Then heenteredBrunswick
CollegiumCarolinumand leftitto study at
GöttingenUniversity. In 1799 he received a
degree in Brunswick.

3. Biography
Gauss married Johanna Ostoffon 9
October, 1805. After she died, he
married again, to Johanna's best
friend named FriedericaWilhelmine
Waldeckbut commonly known as
Minna. Hewas an
ardentperfectionistand a hard worker.
He was never a prolific writer, refusing
to publish work which he did not
consider complete and above
criticism.

4. ALGEBRA
He wasinterestedin algebra. Gauss proved
the fundamental theorem of algebra which
states that every non-constant single-variable
polynomialwith complex coefficients has at
least one complexroot. He also made
important contributions tonumber theorywith
his 1801 bookDisquisitiones
Arithmeticae.He developed the theories of
binary and ternary quadratic forms, stated
theclass number problem for them, and
showed that a regularheptadecagon(17-
sided polygon) can beconstructed with
straightedge and compass.

5. MATHS I CURRICULUM
Gauss eliminationmethod’spurpose
istofindthe solutions to a linear
system. It is used to convert systems
to an upper triangular form.

6. GAUSS ELIMINATION METHOD
The fundamental idea is to add
multiples of one equation to the others
in order to eliminate a variable and to
continue this process until only one
variable is left. Once this final variable
is determined, its value is substituted
back into the other equations in order
to evaluate the remaining unknowns.

7. GAUSS ELIMINATION METHOD
It is easiest to illustrate this method with an
example. Consider the system of equations.
To solve for x, y, and z we must eliminate some of the unknowns
from some of the equations. Consider adding -2 times the first
equation to the second equation and also adding 6 times the first
equation to the third equation. The result is

8. GAUSS ELIMINATION METHOD
We have now eliminated the x term from the last two equations. Now
simplify the last two equations by dividing by 2 and 3, respectively:
To eliminate the y term in the last equation, multiply the second
equation by -5 and add it to the third equation:
The third equation says z=-2. Substituting this into the second
equation yields y=-1. Using both of these results in the first equation
gives x=3.

9. BIBLIOGRAPHY AND
SOURCES
https://en.wikipedia.org/wiki/Carl_Fried
rich_Gauss
http://www-groups.dcs.st-
and.ac.uk/~history/Biographies/Gauss
.html
http://www.cliffsnotes.com/study-
guides/algebra/linear-algebra/linear-
systems/gaussian-elimination
http://www.purplemath.com/modules/s
ystlin6.htm