Victor Zalgaller
Encyclopedia
Victor Abramovich Zalgaller ' onMouseout='HidePop("99911")' href="/topics/Parfino">Parfino
, Novgorod Oblast
, Russia
) is a mathematician
in the fields of geometry
and optimization
. He is best known for his results on convex polyhedra
, linear
and dynamic programming
, isoperimetry
, and differential geometry.
Zalgaller did his early work under direction of A.D. Alexandrov
and Leonid Kantorovich
. He wrote joint monographs with both of them. His later monograph Geometric Inequalities (joint with Yu. Burago
) is still the main reference in the field.
Zalgaller lived in Saint Petersburg
most of his life, having studied and worked at the Leningrad State University and the Steklov Institute of Mathematics
(Saint Petersburg branch). In 1999 he immigrated to Israel
.
Parfino
Parfino is an urban locality and the administrative center of Parfinsky District of Novgorod Oblast, Russia, located along the Lovat River, east of Staraya Russa...
, Novgorod Oblast
Novgorod Oblast
Novgorod Oblast is a federal subject of Russia , located between Moscow and Saint Petersburg. Its administrative center is the city of Veliky Novgorod. Some of the oldest Russian cities, including Veliky Novgorod and Staraya Russa, are located there...
, Russia
Russia
Russia or , officially known as both Russia and the Russian Federation , is a country in northern Eurasia. It is a federal semi-presidential republic, comprising 83 federal subjects...
) is a mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
in the fields of geometry
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
and optimization
Optimization (mathematics)
In mathematics, computational science, or management science, mathematical optimization refers to the selection of a best element from some set of available alternatives....
. He is best known for his results on convex polyhedra
Polyhedron
In elementary geometry a polyhedron is a geometric solid in three dimensions with flat faces and straight edges...
, linear
Linear programming
Linear programming is a mathematical method for determining a way to achieve the best outcome in a given mathematical model for some list of requirements represented as linear relationships...
and dynamic programming
Dynamic programming
In mathematics and computer science, dynamic programming is a method for solving complex problems by breaking them down into simpler subproblems. It is applicable to problems exhibiting the properties of overlapping subproblems which are only slightly smaller and optimal substructure...
, isoperimetry
Isoperimetry
The isoperimetric inequality is a geometric inequality involving the square of the circumference of a closed curve in the plane and the area of a plane region it encloses, as well as its various generalizations. Isoperimetric literally means "having the same perimeter"...
, and differential geometry.
Zalgaller did his early work under direction of A.D. Alexandrov
Aleksandr Danilovich Aleksandrov
Aleksandr Danilovich Aleksandrov , and Alexandrov ) , was a Soviet/Russian mathematician, physicist, philosopher and mountaineer.- Scientific career :...
and Leonid Kantorovich
Leonid Kantorovich
Leonid Vitaliyevich Kantorovich was a Soviet mathematician and economist, known for his theory and development of techniques for the optimal allocation of resources...
. He wrote joint monographs with both of them. His later monograph Geometric Inequalities (joint with Yu. Burago
Yuri Dmitrievich Burago
Yuri Dmitrievich Burago is a Russian mathematician. He works in differential and convex geometry.- Education and career :Burago studied at Leningrad University, where he obtained his Ph.D. and Habilitation degrees. His advisors were Victor Zalgaller and Aleksandr Aleksandrov.Burago is the head...
) is still the main reference in the field.
Zalgaller lived in Saint Petersburg
Saint Petersburg
Saint Petersburg is a city and a federal subject of Russia located on the Neva River at the head of the Gulf of Finland on the Baltic Sea...
most of his life, having studied and worked at the Leningrad State University and the Steklov Institute of Mathematics
Steklov Institute of Mathematics
Steklov Institute of Mathematics or Steklov Mathematical Institute is a research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences. It was established April 24, 1934 by the decision of the General Assembly of the Academy of Sciences of the USSR in...
(Saint Petersburg branch). In 1999 he immigrated to Israel
Israel
The State of Israel is a parliamentary republic located in the Middle East, along the eastern shore of the Mediterranean Sea...
.
External links
- Intrinsic Geometry of Surfaces — book by A.D Alexandrov and V.A. Zalgaller (AMS Online Book, originally translated in 1967).
- Personal war memoir (in Russian).
- Lecture read in 1999 in St.Petersburg, Russia (video, in Russian)