Carl Friedrich Gauss' biography

1. CARL FRIEDRICH GAUSS

2. Biography
 He was born 30 April 1777 in Brunswick, and
died 23 February 1855 at age of 77 in Göttingen,
Kingdom of Hanover. He was a German
mathematician who 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 the Gymnasium with the help of
Büttner and Bartels, where he learnt High
German and Latin. Then he entered Brunswick
Collegium Carolinum and left it to study at
Göttingen University. In 1799 he received a
degree in Brunswick.

3. Biography
 Gauss married Johanna Ostoff on 9
October, 1805. After she died, he
married again, to Johanna's best
friend named Friederica Wilhelmine
Waldeck but commonly known as
Minna. He was an
ardent perfectionist and 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 was interested in algebra. Gauss proved
the fundamental theorem of algebra which
states that every non-constant single-variable
polynomial with complex coefficients has at
least one complex root. He also made
important contributions to number theory with
his 1801 book Disquisitiones
Arithmeticae. He developed the theories of
binary and ternary quadratic forms, stated
the class number problem for them, and
showed that a regular heptadecagon (17-
sided polygon) can be constructed with
straightedge and compass.

5. MATHS I CURRICULUM
 Gauss elimination method’s purpose
is to find the 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