Boris Yakovlevich Bukreev

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. 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.[1]

B.Y. Bukreev was born in L'gov, Kursk gubernia of Russian Empire in the family of a school teacher.[2] 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 Kiev University that at the time was called the University of Saint Vladimir in Kiev. 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 Weiershtrass theory of elliptic functions. 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 at the University of Kiev, in Ukraine, Russian Empire. 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. 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 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 highest honors in the former Soviet Union, Orden Lenina (Order of Lenin) and Orden Trudovogo Krasnogo Znameni (Order of the Red Banner of Labour).[3]

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. B.Y. Bukreev continued actively working in mathematics up to the very end of his life. Amazingly, his last paper was published when B.Y. Bukreev was 98.
Family life

B.Y. Bukreev married a daughter of Aleksei Aleksandrovich Kozlov (Russian philosopher, a notable representative of Russian school of panpsychism, and professor of philosophy at Kiev University from 1884). They had three children, Tatiana, Nikolai and Evgenii. His grandson, Kirill Borisovich Tolpygo (son of Tatiana and Boris Nikolaevich Tolpygo), became a prominent Ukrainian physicist, Corresponding Member of the 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

O'Connor, John J.; Robertson, Edmund F., "Boris Yakovlevic Bukreev", MacTutor History of Mathematics archive, University of St Andrews.

^ http://www-history.mcs.st-and.ac.uk/Biographies/Bukreev.html
^ http://www.gorodlgov.ru/image/admin/698

The term parametric continuity was introduced to distinguish it from geometric continuity (Gn) which removes restrictions on the speed with which the parameter traces out the curve.[3]