Carl Friedrich Gauss was a German mathematician born in 1777. He made important contributions to many areas of mathematics including number theory, modular arithmetic, and constructing regular polygons with compass and straightedge. Some of his most important discoveries were proving the quadratic reciprocity law and formulating the prime number theorem which provides insight into the distribution of prime numbers. He worked in other fields as well such as physics and astronomy. Gauss died in 1855 of a heart attack and is considered one of the greatest mathematicians of all time.

1. CARL FRIEDRICH GAUSS
Presented By
Ambreen Akram
Habibah Farmaan
Syeda Sana Naqvi

2. Mathematics is the queen of
the sciences and number
theory is the queen of
mathematics. ~ Carl
Friedrich Gauss
 .

3. Princepes Mathematicorum
(foremost of mathematics )

4. Carl Fedrich Gauss

5. Biography
 He was born on April 30th, 1777 in Brunswick
 His mother was illiterate woman and never
recorded his date of birth.
 He invented the method for calculating the
birth date.

6. Content
 At the age of 8 , he figure out to add up
numbers from 1 to 100.
 His “ magnum opus disquistiones
Arithmaticae “ was not published in his life
due to his poor financial conditions

7. Contributions In Different
Fields of Mathematics
 Gauss’s intellectual abilities attracted the
attention of the Duke of Brunswick
 He shows that regular polygon can be
constructed by compass and straightedge
 Major discovery that he solved the
construction problem.

8. Cont….
 This discovery ultimately led Gauss to
chooses mathematics as a career.
 Gauss was so pleased with this discovery that
he requested that a regular heptadecagon be
inscribed on his tomb stone.
 The year 1796 was most productive for both
Gauss and the number theory . On march
30th, he discovered the construction of hepta
decagon.

9. Cont….
 He further advanced modular arithmetic,
greatly simplifying the manipulations in the
number theory.
 On august 8th, he became first to prove the
quadratic reciprocity law.
 The prime number theorem conjectured by
him on May 31st , gives a good understanding
of how the prime numbers are distributed
among integers.

10. Cont….
 On July 10th , Gauss also discovered that every
positive integer is represent able as a sum of
most three triangular numbers.
 On Oct 1st , he published a result of
polynomials with coefficients in finite field
which 150 years later led to wel conjecture
 In 1801, Gauss announced that he had
calculated the orbit of an asteriod named
ceies.

11. Later Years
 Magnetism
 Worked with a physics professor “Wihelm
Weber “
 Developed the concepts of magnetism
 Discovered the Kirchhoff's circuit laws
 Construct the first electromechanical
telegraph
 Founded the magnetischer verein

12. Last Years
 At 62, he taught himself Russian
 Published his influential “ Diophriscle Unters “
 Became a member of Royal Institute of
Netherlands.
 In 1851, he joined the foreign ministry

13. Death
In the year 1855 , Carl friedrich Gauss died
from a heart attack

14. Old Mathematicians never
die, they just tend to
infinity.
 .