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Transcript: Sophie Germain's greatest contribution to mathematics was in number theory. She discovered a special case of Fermat's Last Theorem which we now call the Germain Theorem. Stated precisely: The equation x p +y p =z p has no non-zero integer solutions where p is a Germain prime (p is a prime number if 2p+1 is also prime) and p does not divide xyz . Could someone prove this? I can't find an actual proof of this statement or Germain's surviving works in English translation. Contribution 2 intro to mathetics Sophie Germain by Shelby Sweet When Germain was 13, the Bastille fell, and the revolutionary atmosphere of the city forced her to stay inside. For entertainment she turned to her father's library.[10] Here she found J. E. Montucla's L'Histoire des Mathématiques, and his story of the death of Archimedes intrigued her.[6] Germain decided that if geometry, which at that time referred to all of pure mathematics,[6] could hold such fascination for Archimedes, it was a subject worthy of study.[11] So she pored over every book on mathematics in her father's library,[12] even teaching herself Latin and Greek so she could read works like those of Sir Isaac Newton and Leonhard Euler. She also enjoyed Traité d'Arithmétique by Étienne Bézout and Le Calcul Différentiel by Jacques Antoine-Joseph Cousin. Later, Cousin visited her in her house, encouraging her in her studies.[13] Germain's parents did not at all approve of her sudden fascination with mathematics, which was then thought inappropriate for a woman. When night came, they would deny her warm clothes and a fire for her bedroom to try to keep her from studying, but after they left she would take out candles, wrap herself in quilts and do mathematics.[14] As UC Irvine's Women's Studies professor Lynn Osen describes, when her parents found Sophie “asleep at her desk in the morning, the ink frozen in the ink horn and her slate covered with calculations,” they realized that their daughter was serious and relented.[15] After some time, her mother even secretly supported her.[13] Contribution 1 Conclusion Contribution 3 Perhaps only a lone genius like Germain was constituted to thrive in such isolation, leaving her work of pure intellection like a beacon to later generations of women who dared to do mathematics for the joy of it. When Sophie began teaching herself, her parents took away her books. So she studied secretly at night. INTRODUCTION She also contributed to acoustics, Eric Weisstein's World of Physics elasticity, Eric Weisstein's World of Physics and number theory. Eric Weisstein's World of Math She submitted a memoir to the mathematician J. L. Lagrange under a male student's name. Lagrange saw talent in the work, sought out the author, and was bowled over to discover it had been written by a woman. She continued to study, corresponding with leading mathematicians of the day. Sophie Germain was a French mathematitian, physicist, and philosopher. She was born on April 1, 1776, and passed June 27,1831 at the age of 55.
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