Boris Yakovlevich Bukreev ( Russian: Борис Яковлевич Букреев; 6 September 1859 – 2 October 1962) was a Russian and Soviet mathematician who worked in the areas of complex functions and

differential equations In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...

. He studied Fuchsian functions of rank zero. He was interested in projective and non-Euclidean geometry. He worked on differential invariants and parameters in the theory of surfaces, and also wrote many papers on the history of mathematics.

Biography

Boris Bukreev was born in Lgov, Kursk Governorate of Russian Empire in the family of a school teacher. His grandfather was also a school teacher. His early education was at home and later he attended a classical Gymnasium at Kursk. In 1878 Bukreev entered St. Vladimir University that at the time was called the University of Saint Vladimir in Kyiv. The university was founded in 1834 and had a very strong school of mathematics. In 1880, Bukreev was awarded a gold medal by the Faculty of Physics and Mathematics as the best student. In 1882 he got his first degree and remained at the university to continue his training. At that time he worked on Karl Weierstrass's theory of

elliptic function In the mathematical field of complex analysis, elliptic functions are a special kind of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Originally those in ...

s. This became a topic of his Master's thesis titled "On the expansion of transcendental function in partial fractions. After publishing his thesis Bukreev went abroad and took lectures of Karl Weierstrass, Lazarus Fuchs, and Leopold Kronecker in Berlin. Bukreev undertook research on Fuchsian functions under Fuchs' guidance, which he completed in 1888 and which became the basis of his doctoral thesis "On the Fuchsian functions of rank zero" defended in 1889. In 1889, Bukreev became a professor of

mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

at the St. Vladimir University of Kiev, Russian Empire (now Kyiv, Ukraine). During the 1890s Bukreev published a series of high quality papers including: "On the theory of gamma functions," "On some formulas in the theory of elliptic functions of Weierstrass," "On the distribution of the roots of a class of entire transcendental functions," and "Theorems for elliptic functions of Weierstrass". By the end of the 1890s Bukreev began to undertake research into

differential geometry Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multili ...

. In 1900 he published "A Course on Applications of Differential and Integral Calculus to Geometry". Although at this time his main position was in the University of Kiev, he also taught at the Women's College from 1896 and at the Kiev Polytechnic Institute of Emperor Alexander II from 1898. He continued to teach at the Polytechnic Institute until 1926. He continued working at the University of Kiev until 1959 and retired at the age of 100. He received a number of scientific and state honors during his life, including the Order of Lenin and the Order of the Red Banner of Labour. Bukreev published a number of books which proved influential. For example, "Introduction to the theory of series," "Elements of the theory of determinants," "Course on definite integrals" (1903), and "Elements of algebraic analysis" (1912). In 1934, he published "An Introduction to the Calculus of Variations." His most important book on non-Euclidean geometry was "Non-Euclidean Planimetry in Analytic Terms", which he published in 1951. Bukreev continued actively working in

up to the very end of his life; his last paper was published when he was 98.

Family life

Bukreev married a daughter of Aleksei Aleksandrovich Kozlov (Russian philosopher, a notable representative of Russian school of

panpsychism In the philosophy of mind, panpsychism () is the view that the mind or a mindlike aspect is a fundamental and ubiquitous feature of reality. It is also described as a theory that "the mind is a fundamental feature of the world which exists thro ...

, and professor of philosophy at Kyiv University from 1884). They had three children, Tatiana, Nikolai and Yevgeny. His grandson, Kirill Tolpygo (son of Tatiana and Boris Nikolaevich Tolpygo), became a prominent Ukrainian physicist, corresponding member of the National Academy of Sciences of Ukraine.

Books

* ''A Course on Applications of Differential and Integral Calculus to Geometry'' * ''An Introduction to the Calculus of Variations'' * ''Non-Euclidean Planimetry in Analytic Terms''

References

Sources

* {{DEFAULTSORT:Bukreev, Boris Yakovlevich 1859 births 1962 deaths Taras Shevchenko National University of Kyiv alumni Academic staff of the Taras Shevchenko National University of Kyiv Recipients of the Order of Lenin Recipients of the Order of the Red Banner of Labour Men centenarians Russian centenarians Russian mathematicians Soviet centenarians Soviet mathematicians Ukrainian centenarians Ukrainian mathematicians Burials at Baikove Cemetery