Mathematician, physician and philosopher (1776-1831), Sophie Germain was a genius who fought hard to be heard a recognized.
A self-taught prodigy
The daughter of a silk merchant, Sophie was born in Paris to a relatively wealthy family. When the French Revolution broke out in 1789, her father became a member of the Constituent Assembly. Amidst the chaos, Sophie found solace in her father's library and discovered mathematics.
Fascinated by the subject, she learned everything she could, studying at night. Her parents disapproved. Mathematics was thought to be too complex for women who had to focus first and foremost on their home.
Sophie's parents tried to stop her by putting out the fire in her room at night and confiscating her clothes and candles after nightfall. Sophie's thirst for knowledge was stronger. According to her obituary, she studied “at night in a room so cold that the ink often froze in its well, working enveloped with covers by the light of a lamp”. She even taught herself Latin to read the essential works.
Sophie impresses
The École Polytechnique was founded in 1974 with to train a new elite of engineers, mathematicians and scientists. Being a woman, Sophie couldn’t attend. She learned that a student named Leblanc wasn’t able to go to class. She wrote to the school, pretending to be him, and managed to obtain lecture notes. She was also able to complete and submit assignments.
This promising student impressed mathematician Joseph-Louis Lagrange who found her answers brilliant. The self-taught Sophie had gained the admiration of one of the most renowned mathematicians of her time.
Lagrange's desire to meet her forced Sophie to reveal her real identity. Lagrange was at first surprised to learn that his correspondent was a woman. He nonetheless became Sophie’s mentor, introducing her to a new world and opportunities.
Sophie made major contributions to number theory. She worked on Fermat's last theorem, making major observations and creating her own theorem. This would be one of her major contributions to mathematics.
In 1804, she began a correspondence with another mathematician, Carl Friedrich Gauss, whose work she admired. He was similarly impressed by her intelligence:
“But how to describe to you my admiration and astonishment at seeing my esteemed correspondent Monsieur Leblanc metamorphose himself into this illustrious personage who gives such a brilliant example of what I would find it difficult to believe. A taste for the abstract sciences in general and above all the mysteries of numbers is excessively rare: one is not astonished at it: the enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it. But when a person of the sex which, according to our customs and prejudices, must encounter infinitely more difficulties than men to familiarize herself with these thorny researches, succeeds nevertheless in surmounting these obstacles and penetrating the most obscure parts of them, then without doubt she must have the noblest courage, quite extraordinary talents and superior genius.”
An incomplete recognition
Sophie was also interested in physics. In 1811, she entered a contest held by the French Academy of Sciences, but her lack of formal education turned against her. She didn't give up and won the contest in 1816 with her Memoir on the vibrations of Elastic Plates. She kept working on the theory of elasticity and published several more memoirs. Her work would prove pivotal in the field.
This prize also meant official recognition for Sophie. In 1823, she became the first woman to be allowed at the Academy of Sciences' sessions. Though respected as an equal collaborator by some, she still felt like a “foreigner” in the scientific community.
Sophie Germain died at the age of 55, on June 27, 1831, after a battle with breast cancer. Carl Friedrich Gauss had convinced the university of the University of Gottingen to give her an honorary degree but Sophie was dead before she could receive it.
Her death certificate designated her as a "rentière-annuitant" (a single woman with no profession) instead of a mathematician.
Today, a street in Paris, schools in France and a crater on Venus are named in her honor. She appeared on a French postal stamp released in 2016.
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Further reading
Alkalay-Houlihan Coleen, “Sophie Germain and special cases of Fermat’s last theorem”
Boyé Anne,, “Sophie Germain, une mathématicienne face aux préjugés de son temps”
“Biographies of women mathematicians : Sophie Germain”
Lamboley Gilbert, “Math’s hidden woman”
Koppe Martin, “Sophie Germain, une pionnière enfin reconnue”
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"DMT_25," digital + acrylic, April 27, 2024, Reginald Brooks
DMT = Divisor (Factor) Matrix Table
No worries if you get lost. Every number is here. Pick any number, divide it by 2 until you end with an ODD. The divisors of said number are those values + the same number of values in Row 1 + the same number of values in any of the *composite ODDs. *If said number divides down to a composite number, then include this Row + other Rows whose ODD(s) are the Prime factors of that initial ODD.
Example: say 13684
13684÷2=6842
6842÷2=3421 and there are two divisions required to reveal the ODD and thus three DMT cell values
3421 is a composite number: 1-11-311-3421 so you include the ODD Rows 1-11-311-3421 three DMT cell values across.
1-2-4
11-22-44
311-622-1244
3421-6842-13684
The DMT is a simple and always ready visualization. Dance!
Example2: 13864
Divides down to 1733, 3466, 6932, 13864 or 4 DMT cell values with the ODD 1733 being Prime.
1-2-4-8
1733-3466-6932-13864
more here___
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There’s a lot of excellent examples of the difference between a million and a billion, but here’s my new personal favorite from a conversation I had today:
A million minutes ago was April 2021, the height of the COVID pandemic.
A billion minutes ago was November 121 CE, the height of the Roman Empire.
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