Transcript Document

Technology Based
By: Tiffany Cox
Girolamo Cardano
Born: September 24,
1501 at Pavia, Italy
Died: September 21,
1576 at Rome, Italy
Causes of death:
Unspecified
Religion: Roman
Catholic
Occupation: Doctor,
Mathematician
cubic equations had to deal with ax3 - bx + c = 0 and ax3
- bx = c as two different cases
Cardano introduced binomial coefficients and the
Binomial Theorem, and introduced and solved the
geometric hypocyloid problem, as well as other
geometric theorems
Threw his life he was tormented that his father (a
friend of Leonardo da Vinci) married his mother only
after Cardano was born.
His mother tried several times to abort him.
Cardano's reputation for gambling and aggression
interfered with his career.
He practiced astrology and was imprisoned for heresy
when he cast a horoscope for Jesus.
This and other problems were due in part to
revenge by Tartaglia for Cardano's revealing his
secret algebra formulae.
His son apparently murdered his own wife.
Leibniz wrote "Cardano was a great man with
all his faults; without them, he would have been
incomparable.”
Father: Facio Cardano (jurist, b. 1444, d. 1524)
Mother: Chiara Micheria (d. 26-Jul-1537)
Wife: Lucia Bandarini (m. 1531, d. 1546)
Son: Giovanni Battista Cardano (physician)
Son: Giambatista Cardano (b. 14-May-1534, d. 13Apr-1560, execution)
Son: Aldo Urbano Cardano (b. 25-May-1543)
Daughter: Clara (b. 1536)
JOSEPH LOUIS LAGRANGE
★
★
★
★
★
French mathematician
He was born in Italy from
1736-1813.
Joseph studied at the College
of Turin
At first he didn't have great
enthusiasm for mathematics.
He started becoming
interested in mathematics
when he read the copy of
Halley's 1693 work on
algebra.
Joseph didn't like studying with the other leading mathematics
he was more of a self taught.
He published his first mathematics work in 1754.
It was an analogy between binomial theorem and he
successive derivatives of the product of functions.
He made important discoveries that could contribute
substantially to the new subject of calculus of variations.
He sent it to Euler and after impressing him with his work, he
then was appointed professor of mathematics at Royal
Artillery School in Turin in the 1755.
Then shortly after he was elected to Berlin Academy in 1756.
A year after he became a member of the Royal Academy of
Science of Turin.
He was a major contributor the three volumes.
He then published calculus of variations and calculus of
probabilities.
Also he made a major study on the propagation of sound, and
the theory of vibrating strings.
He took consist of n masses then joined by weightless strings.
He solved the resulting system of n+1 differential equations, and
then let n get large to obtain a functional solution.
And also worked on number theory.
In 1770 that every positive integer is the sum of four squares.
In 1770, he also presented an important work which made a
fundamental investigation of why equations of degrees up to 4 could
be solved by radicals. The paper is the first to consider the roots of a
equation as abstract quantities rather than having numerical values.
A year after in 1771, he proved Wilson's theorem, and that n is
prime if and only if (n-1)! + 1 is divisible by n.
Then in 1770, he presented an important work that made
fundamental investigation of why the equations of the degrees up to
4 could be solved by radicals.
It was the first to be consider of the roots of a equation as abstract
quantities rather than having the numerical values.
In 1787 his wife and Frederick 11 passed away.
His position in Berlin has become a less happy one.
He left his position to become a member of the Academie des
Science in Paris. He contuniued there for the rest of his career.
He published 2 volumes of calculus lectures.
Then in 1797, he published the first theory of functions of the
real variable with Theorie des fonctions analytique, but he
failed because he didn’t give enough attention to matters of
the convergence.
Napoleon then named the Legion of Honor and Count of the
Empire in 1808 to Lagrange.
NAME: Ada Lovelace
OCCUPATION:
Mathematician
BIRTH DATE: December
10, 1815
DEATH DATE: November
27, 1852
Died from: Uterine Cancer
in London
PLACE OF BIRTH:
London, United Kingdom
PLACE OF DEATH:
London, United Kingdom
MAIDEN NAME: Augusta
Ada Byron
Ada Lovelace
Ada is considered to have written the instructions for the first
computer program in the mid-1800’s.
She also is considered to be the first computer programmer.
Lovelace showed talent for numbers and language.
At the age 17 she began studying advanced mathematical
calculations.
She described how codes could be created from
the device and to handle letters and symbols along
with numbers.
She had a method for the engine to repeat a series
of the instructions.
It is also known as looping that computer programs
use today.
In the latwer years she has developed
mathematics schemes for winning at gambling.
But then unfortunately her schemes failed
When she died she was buried next to her father at
Church of St. Mary Magdalene in Nottingham,
England in the graveyard.
In 1835 she meet her husband William King.
They had 3 children together and shared a love for
horses.
They also socialized with many of the interesting
minds of the times.
Later in her life she became to have health
problems with asthma and her digestive system.
The doctors tried giving her painkillers but it didn’t
help.
Her personality began to change
Then she reportedly starting experiencing mood
swings and hallucinations.
Work Cited
"Greatest Mathematicians Born between 400 and 1580 A.D." Greatest
Mathematicians Born between 400 and 1580 A.D. N.p., n.d. Web. 30 Apr. 2013.
"Girolamo Cardano." Girolamo Cardano. N.p., n.d. Web. 30 Apr. 2013.
"Joseph-Louis Lagrange." Joseph-Louis Lagrange. N.p., n.d. Web. 23 Apr. 2013.
"Mathematicians." Famous. N.p., n.d. Web. 24 Apr. 2013.
"Smithsonian.com." Surprising Science Five Historic Female Mathematicians
You Should Know Comments. N.p., n.d. Web. 30 Apr. 2013.
"Ada Lovelace Biography." Bio.com. A&E Networks Television, n.d. Web. 30 Apr.
2013.