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Nadeschda Gernet
Nadeschda Gernet (18 April 1877 - 1 January 1943), daughter of State Council, Nikolai v. Gernet, and his wife Nadezhda, was a female Russian mathematician, born in Simbirsk, Russia Empire. She extended Calculus of Variation to further functions on the basis that her instructor, David Hilbert, worked on, and she was one of the first applying inequalities into Calculus of Variations.

Early Educations
Gernet graduated from high school in Simbirsk in the spring of 1894 with a gold medal. In the fall of 1894, she started her education at Women's University of Petersburg, in which she took science and math related classes. She was the first graduate of Women's University of Petersburg.

Achievements
In year 1902, Gernet wrote a book, "Untersuchung ZUI Variationsrechnung," (On One New Method in the Variation of Calculus) for her Ph. D. degree at University of Göttingen, and she was the second female Ph. D. under the instruction of David Hilbert. In this book, Gernet extended Variation Calculus, the theory that David Hilbert developed and funded, into two more functions. In the same year, this book was indexed by the International Catalogue of Scientific Literature: First Volume. Gernet was also the second female doctorate in Russia.

For her master degree, Gernet wrote her second book, "On the Fundmental Simplest Problems of Variation Calculus," in year 1913, after she went back to Russia. In this book, Gernet summarized the past achievements made in the field of Calculus of Variation made the first attempt to apply inequalities into Calculus of Variation.

Teaching
After defending her thesis and became a master, Gernet started her teaching career at Lening Guard State Univeristy, and her teachings were specifically toward female students. However, she was forced to leave the university in 1929.

Death
She died in St. Petersburg during the Seige of Leningard in 1943 and was buried in the Smolensky Lutheran Cemetery.

Further Influences
The contributions Gernet made in her two publications raised new discussions and encouraged expansion of Calculus of Variations into inequalities and pushed its developments.

Publications

 * 1) On One New Method in the Variation of Calculus.
 * 2) On the Fundmental Simplest Problems of Variation Calculus.