Sophie Germain Algebra - this is written geometry,

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Presentation transcript:

Sophie Germain Algebra - this is written geometry, algebra-shaped geometry. 1776 - 1831

Biography Marie-Sophie Germain was born on April 1, 1776, in Paris, France. According to some her father was a wealthy silk merchant.

The information shows that in 1789 The information shows that in 1789. Her father was elected as a representative of the bourgeoisie États-Generaux, but seeing the change in the constitutional assembly suggest that Sophie has been witnessed many discussions and arguments with his father, his friends about politics and philosophy.

Introduction to mathematics When Germaine was 13 years, the Bastille fell and the revolutionary atmosphere in the city forced to remain inside. For fun she turns to her father's library, where she was terribly intrigued by the story of Archimedes death.

Germaine decided that if the geometry represents such fascination for Archimedes and other mathematicians in all its time, this subject is worthy of study. So she read every book on mathematics in the library of his father. Even taught Latin to be able to read the works of Isaac Newton and Euler.

Work in the elasticity of materials Sophie Germain worked in elasticity, but she was not understood and was not treated as an equal colleague at the University of Paris. Today there are equations that bear her name.

Sophie Germain equation

The concept of curvature is at the heart of the work on elasticity of Sophie .. Curvature is inversely proportional to the radius of the circle. Surface curvature is determined by the curvature of curves formed by the intersections of the surface with planes perpendicular to the surface at this time.

Germain took part in the competition at the Paris Academy of Sciences with experiments of vibrating metal plates.

The competition aims to give a mathematical theory on vibrations of elastic surfaces and compare theory with experimental evidence. On January 8, 1816 Germaine finally been awarded the prize - The incredible. So she became the first woman to win prize from the Paris Academy of Sciences.

Work in number theory Sophie Germain interested in number theory from the young. She corresponded on this topic by Lagrange and Gauss using the nickname Monsieur Leblan. Known is the task of Germain: If a> 1, to prove that A4 4 is a composite number. In 1815, the Academy offers reward for proof of Fermat last theorem. This revived interest in Germaine to number theory.

Germain proves that if X, Y and Z - are solutions of the equation xn + yn = zn in prime number n, so that 2n + 1 is also simple, it follows that the X, Y, and Z must be divisible by n. Germain made an important step in the proof of Fermat last theorem for the case N = 5.

Careers in Philosophy In addition to mathematics, Germain teaches philosophy and psychology. She wanted to classify the facts and to draw up the laws, which could form a system of psychology and sociology. Two of her philosophical works, Pensées diverses and Generales Sur l'État were published posthumously.

Latest year In 1829 Germain learns that she has a breast cancer. Despite the pain she continues to work. On June 27, 1831, she dies at her home.

www.google.bg www.wikipedia.org http://www.egamath.narod.ru/Singh/Germain.htm

Katrin Evgenieva Martin Stoikov SOU”Zheleznik” www.jeleznik.org 2011 Made by Katrin Evgenieva Martin Stoikov SOU”Zheleznik” www.jeleznik.org 2011 www.google.bg www.wikipedia.org http://www.egamath.narod.ru/Singh/Germain.htm