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15
credits her uncle Peter for first sparking her curiosity in mathematics.
He took an interest in Sofia and found time to discuss numerous ab-
stractions and mathematical concepts with her. When she was fourteen
years old she taught herself trigonometry in order to understand the
optics section of physics book that she was reading. The author of the
book and also her neighbor, Professor Tyrtov, was extremely im-
pressed with her capabilities and convinced her father to allow her to
go off to school in St. Petersburg to continue her studies.
After concluding her secondary schooling, Sofia was determined
to continue her education at the university level. However, the closest
universities open to women were in Switzerland, and young, unmarried
women were not permitted to travel alone. To resolve the problem
Sofia entered into a marriage of convenience to Vladimir Kovalevsky
in September 1868. The couple remained in Petersburg for the first few
months of their marriage and then travelled to Heidelburg where Sofia
gained a small fame. People were enthralled by the quiet Russian girl
with an outstanding academic reputation.
In 1870, Sofia decided that she wanted to pursue studies under
Karl Weierstrass at the University of Berlin. Weierstrass was consid-
ered one of the most renowned mathematicians of his time, and at first
he did not take Sofia seriously. Only after evaluating a problem set he
had given her did he realize the genius at his hand. He immediately set
to work privately tutoring her because the university still would not
permit women to attend. Sofia studied under Weierstrass for four years.
She is quoted as having said, "These studies had the deepest possible
influence on my entire career in mathematics. They determined finally
and irrevocably the direction I was to follow in my later scientific
work: all my work has been done precisely in the spirit of Weierstrass".
At the end of her four years she had produced three papers in the hopes
of being awarded a degree. The first of these, "On the Theory of Partial
Differential Equations," was even published in Crelle's journal, a tre-
mendous honor for an unknown mathematician.
In July of 1874, Sofia Kovalevskaya was granted a Ph.D. from
the university of Gottingen. Yet even with such a prestigious degree
and the help of Weierstrass, who had grown quite fond of his pupil, she
was not able to find employment. She and Vladimir decided to return
to her family in Palobino. Shortly after her return home, her father died
16
unexpectedly. It was during this period of sorrow that Sofia and
Vladimir fell in love. Their marriage produced one daughter. While at
home, Sofia neglected her work in mathematics but instead developed
her literary skills. She tried her hand at fiction, theater reviews, and
science articles for a newspaper.
In 1880, Sofia returned to work in mathematics with a new fer-
vor. She presented a paper on Abelian integrals at a scientific confer-
ence and was very well received. Once again she was faced with the
dilemma of finding employment doing what she loved most – mathe-
matics. She decided to return to Berlin, also home to Weierstrass. She
was not there long before she learned of Vladimir's death. He had
committed suicide when all of his business ventures had collapsed.
Sofia's grief threw her into her work more passionately than ever.
Then, in 1883, Sofia's luck took a turn for the better. She re-
ceived an invitation from an acquaintance and former student of Weier-
strass, Gosta Mittag-Leffler, to lecture at the University of Stockholm.
In the beginning it was only a temporary position, but at the and of a
five year period, Sofia had more than proved her value to the university.
Then came a series of great accomplishments. She gained a tenured
position at the university, was appointed an editor for a mathematics
journal, published her first paper on crystals, and in 1885, was also ap-
pointed Chair of Mechanics. At the same time, she co-wrote a play,
"The Struggle for Happiness," with her friend, Anna Leffler.
In 1887, Sofia again received devastating news. The death of her
sister, Anya, was particularly hard on Sofia because the two had always
been very close. Fortunately, it was not long afterward that Sofia
achieved "her greatest personal triumph". In 1888, she entered her pa-
per, "On the Rotation of a Solid Body about a Fixed point," in a com-
petition for the Prix Bordin by the French Academy of Science and
won. "Prior to Sofia Kovalevsky's [Sofia Kovalevskaya] work the only
solutions to the motion of a rigid body about fixed point had been de-
veloped for the two cases where the body is symmetric". In her paper,
Sofia developed the theory for an unsymmetrical body where the center
of its mass is not on an axis in the body. The paper was highly regarded
that the prize money was increased from 3000 to 5000 francs.
Also at this time, a new man entered her life. Maxim Kovalesky
came to Stockholm for a series of lectures. There he met Sofia, and the
credits her uncle Peter for first sparking her curiosity in mathematics. unexpectedly. It was during this period of sorrow that Sofia and He took an interest in Sofia and found time to discuss numerous ab- Vladimir fell in love. Their marriage produced one daughter. While at stractions and mathematical concepts with her. When she was fourteen home, Sofia neglected her work in mathematics but instead developed years old she taught herself trigonometry in order to understand the her literary skills. She tried her hand at fiction, theater reviews, and optics section of physics book that she was reading. The author of the science articles for a newspaper. book and also her neighbor, Professor Tyrtov, was extremely im- In 1880, Sofia returned to work in mathematics with a new fer- pressed with her capabilities and convinced her father to allow her to vor. She presented a paper on Abelian integrals at a scientific confer- go off to school in St. Petersburg to continue her studies. ence and was very well received. Once again she was faced with the After concluding her secondary schooling, Sofia was determined dilemma of finding employment doing what she loved most – mathe- to continue her education at the university level. However, the closest matics. She decided to return to Berlin, also home to Weierstrass. She universities open to women were in Switzerland, and young, unmarried was not there long before she learned of Vladimir's death. He had women were not permitted to travel alone. To resolve the problem committed suicide when all of his business ventures had collapsed. Sofia entered into a marriage of convenience to Vladimir Kovalevsky Sofia's grief threw her into her work more passionately than ever. in September 1868. The couple remained in Petersburg for the first few Then, in 1883, Sofia's luck took a turn for the better. She re- months of their marriage and then travelled to Heidelburg where Sofia ceived an invitation from an acquaintance and former student of Weier- gained a small fame. People were enthralled by the quiet Russian girl strass, Gosta Mittag-Leffler, to lecture at the University of Stockholm. with an outstanding academic reputation. In the beginning it was only a temporary position, but at the and of a In 1870, Sofia decided that she wanted to pursue studies under five year period, Sofia had more than proved her value to the university. Karl Weierstrass at the University of Berlin. Weierstrass was consid- Then came a series of great accomplishments. She gained a tenured ered one of the most renowned mathematicians of his time, and at first position at the university, was appointed an editor for a mathematics he did not take Sofia seriously. Only after evaluating a problem set he journal, published her first paper on crystals, and in 1885, was also ap- had given her did he realize the genius at his hand. He immediately set pointed Chair of Mechanics. At the same time, she co-wrote a play, to work privately tutoring her because the university still would not "The Struggle for Happiness," with her friend, Anna Leffler. permit women to attend. Sofia studied under Weierstrass for four years. In 1887, Sofia again received devastating news. The death of her She is quoted as having said, "These studies had the deepest possible sister, Anya, was particularly hard on Sofia because the two had always influence on my entire career in mathematics. They determined finally been very close. Fortunately, it was not long afterward that Sofia and irrevocably the direction I was to follow in my later scientific achieved "her greatest personal triumph". In 1888, she entered her pa- work: all my work has been done precisely in the spirit of Weierstrass". per, "On the Rotation of a Solid Body about a Fixed point," in a com- At the end of her four years she had produced three papers in the hopes petition for the Prix Bordin by the French Academy of Science and of being awarded a degree. The first of these, "On the Theory of Partial won. "Prior to Sofia Kovalevsky's [Sofia Kovalevskaya] work the only Differential Equations," was even published in Crelle's journal, a tre- solutions to the motion of a rigid body about fixed point had been de- mendous honor for an unknown mathematician. veloped for the two cases where the body is symmetric". In her paper, In July of 1874, Sofia Kovalevskaya was granted a Ph.D. from Sofia developed the theory for an unsymmetrical body where the center the university of Gottingen. Yet even with such a prestigious degree of its mass is not on an axis in the body. The paper was highly regarded and the help of Weierstrass, who had grown quite fond of his pupil, she that the prize money was increased from 3000 to 5000 francs. was not able to find employment. She and Vladimir decided to return Also at this time, a new man entered her life. Maxim Kovalesky to her family in Palobino. Shortly after her return home, her father died came to Stockholm for a series of lectures. There he met Sofia, and the 15 16
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