Kovalevskaya Sophia Vasilyevna
(03(15).01.1850–29.01(10.02).1891)
An
outstanding Russian mathematician. ..
Born in Moscow. Her
father, an artillery general Vasily Korvin-Krukovsky, served as
chief of the arsenal. Mother,
Elizabeth Schubert, was the daughter of F.F. Schubert.
Subsequently, Kovalevskaya said about herself: “I inherited a
passion for science from my ancestor, the Hungarian king Matthew
Corvin; love
of mathematics, music, poetry - from his maternal grandfather,
astronomer Schubert; personal
freedom from Poland; from
Gypsy-great-grandmothers - the love of vagrancy and the inability to
obey accepted customs; the
rest is from Russia”.
When the girl was six years old, her father retired and settled
in his family estate Palibino, in the Vitebsk province. A
teacher named Malevich was hired to study with the child. The
only subject to which Sonya at the first classes showed no special
interest or abilities was arithmetic. Gradually, however, the study
of arithmetic, which lasted until ten and a half years, became her
favorite activity. Subsequently,
Kovalevskaya believed that this period of study and gave her the
basis of mathematical knowledge. She
knew all the arithmetic so well, solved the most difficult tasks so
quickly, that Malevich, before algebra, allowed her to study a
two-volume course of arithmetic that was used at that time at the
University of Paris.
To develop his daughter’s mathematical abilities, his father
hired another teacher, sea lieutenant A.N. Strannolyubsky. At
the very first lesson in differential calculus, Strannolyubsky was
struck by the speed with which the girl learned the concept of the
limit and the derivative, “knew everything in advance”.
In 1863, at the Mariinsky Women's Gymnasium, pedagogical courses
were opened with the departments of natural-mathematical and verbal. Sophia
and her sister Anna dreamed of going to study there, they were not
embarrassed even by the fact that for this it was necessary to enter
into a fake marriage, as they did not accept unmarried people.
Vladimir Onufrievich Kovalevsky was found as “fiancé” for Anyuta. He
agreed to marry, but only ... with Sophia Vasilyevna. He
was 26 years old, Sofya - 18.
Kovalevsky struck the imagination of a young lady. His
life was more exciting than any novel. At
sixteen, he began to earn money by translations of foreign novels
for the booksellers of Gostiny Dvor. He
surprised everyone with his memory and abilities.
After passing the exam for the certificate of maturity,
Kovalevskaya returned to Strannolyubsky again to study mathematics
more thoroughly before going abroad. In
1869, the Kovalevskys left for Vienna, as there were geologists
needed by Vladimir Onufrievich. But
Sophia did not find good mathematicians in Vienna and decided to try
her luck in Heidelberg.
After all sorts of delays, the university commission allowed her
to attend lectures on mathematics and physics. For
three semesters of the 1869–1870 school year, she attended physics
and mathematics courses with Kirchhoff, Dubois Reymond and
Helmholtz, and worked in the laboratory of the chemist Bunsen, the
most famous scientists in Germany. Professors
admired her abilities and diligence. The
then largest mathematician Karl Weierstrass petitioned the academic
council for admitting Mrs. Kovalevskaya to mathematical lectures at
the University of Berlin, but the “high council” did not give
consent. At
the University of Berlin, not only did they not accept women as
“legitimate” students, but they even did not allow them to attend
volunteers at certain lectures. I
had to confine myself to private lessons with a famous scientist.
Kovalevskaya studied the latest mathematical works of world
scientists, did not bypass even the dissertations of young students
of her teacher. From
overwork, her health was overwhelmed, in preparation for redoing a
poorly organized world, she did nothing to have at least a tolerable
dinner.
In the same period, her independent work in the field of integral
and differential calculus began to appear, which found application
in physics and mechanics. The
winter of 1873 and the spring of 1874 Kovalevskaya devoted to the
study “On the Theory of Differential Equations in Partial
Derivatives”, which she presented as a doctoral dissertation. Work
Kovalevskaya caused admiration of scientists. In
it, the earlier work of the famous O. Cauchy was developed and the
problem solved by Kovalevskaya became known as the “Cauchy –
Kovalevskaya theorem”. She entered all the main courses of analysis.
Short years of apprenticeship Kovalevskaya ended. The
Board of the University of Göttingen awarded her the degree of Ph.D.
in mathematics and the Master of Fine Arts "with the highest
praise".
In 1874, Kovalevskaya returned to Russia, but here the conditions
for doing science were much worse than in Europe. By
this time, the fake marriage has become real. In
the autumn of 1878, the daughter of Kovalevsky was born. Kovalevskaya
spent almost half a year in bed. Doctors
lost hope of her salvation, but the young body won.
It would seem that Kovalevskaya had everything for a happy life:
a husband, a child, a favorite activity. But
she was a maximalist in everything and demanded too much from life
and from those around her. She
wanted her husband to constantly swear to her in love, to give signs
of attention, and Kovalevsky did not do this. He
was just another man, keen on science as much as his wife. The
complete collapse of their relationship came when the couple did not
do their own business - commerce, to ensure their material
well-being.
Kovalevskaya and her daughter went to Berlin, and her husband
went to her brother in Odessa. Nothing
connected them anymore. “My
duty is to serve science,” Kovalevskaya told herself. She
took up the task, the solution of which the largest scientists
committed themselves: to determine the motion of various points of a
rotating solid body - a gyroscope.
In 1883, she suffered another terrible blow. Kovalevsky,
who was completely confused in his financial affairs, committed
suicide.
In 1884, Kovalevskaya was appointed professor at Stockholm
University for a period of five years. She
increasingly deepened into the study of one of the most difficult
problems of the rotation of a rigid body, but yet another life shock
shook her plans. In
the spring of 1886, she received news of her sister’s serious
illness. After
a trip to Russia, nothing could return to their previous work. Kovalevskaya
took up literary work.
Almost three years passed before Kovalevskaya could return to the
interrupted mathematical activity. In
the problem of the rotation of a rigid body around a fixed point,
she managed to find the fourth integral, which made it possible to
solve the problem completely. Only
Euler and Lagrange managed to do this. And
so far, four algebraic integrals exist only in three classical
cases: Euler, Lagrange and Kovalevskaya. The
Paris Academy awarded her the Borden Prize. In
the fifty years that have passed since the establishment of the
Borden Prize, it was awarded only ten times, and even not
completely, for private decisions. And
before the opening of Sophia Kovalevskaya, this prize was given to
no one for three years in a row. Due
to the seriousness of the research, the prize at this competition
was increased from three to five thousand francs.
Kovalevskaya continued her work and for the following study on
the rotation of solids, the Swedish Academy of Sciences awarded her
the King Oscar II prize of fifteen hundred crowns.
Kovalevskaya Bay
(photo by E.A. Gusev) |
The hard work led to illness again. She
had to interrupt mathematical studies, she again turned to
literature. Literary
stories about the Russian people, about Russia Kovalevskaya tried to
stifle homesickness.
In 1889, Kovalevskaya was elected a corresponding member at the
physics and mathematics department of the Russian Academy of
Sciences. She
went to Russia in the hope that she would be elected a member of the
academy to the place of the deceased mathematician Bunyakovsky, and
she would gain the material independence that would allow her to do
science in her country. In
St. Petersburg, Kovalevskaya twice paid a visit to the president of
the Academy, Grand Duke Konstantin Konstantinovich, who was very
kind to the renowned scholar and kept saying everything, as it would
be nice if Kovalevskaya returned to her homeland. But
when she wished, as a corresponding member, to attend a meeting of
the Academy, she was told that women’s attendance at such meetings
was “not in the customs of the Academy”! More
resentment, more insults could not inflict on her in Russia. She
returned to Stockholm in a very depressed state. Soon,
Sofia Kovalevskaya died of heart failure in the prime of her
creative life.
She was buried in Stockholm at the cemetery “ Norra
begravningsplatsen”.
Mountain and valley on
the island of West Spitsbergen. Named
in 1899–1901 expedition
members on the "degree measurement".
On maps instead of "Kovalevskaya" wrongly
indicated "Kovalevsky".
Bay on
the southwestern shore of the island Komsomolets archipelago
Severnaya Zemlya. The
name was given in 1952 by geologists
Arctic Research Institute of Geology. |