Ivan Ivanovich Zhegalkin
Encyclopedia
Ivan Ivanovich Zhegalkin (Russian
Russian language
Russian is a Slavic language used primarily in Russia, Belarus, Uzbekistan, Kazakhstan, Tajikistan and Kyrgyzstan. It is an unofficial but widely spoken language in Ukraine, Moldova, Latvia, Turkmenistan and Estonia and, to a lesser extent, the other countries that were once constituent republics...

 Ива́н Ива́нович Жега́лкин; alternative romanizations
Romanization of Russian
Romanization of the Russian alphabet is the process of transliterating the Russian language from the Cyrillic alphabet into the Latin alphabet...

: Žegalkin, Gégalkine) (August 3, 1869, Mtsensk
Mtsensk
Mtsensk is a town in Oryol Oblast, Russia, located on the Zusha River northeast of Oryol. It stands on the Moscow–Simferopol highway. Population: 28,000 ....

 – March 28, 1947, Moscow
Moscow
Moscow is the capital, the most populous city, and the most populous federal subject of Russia. The city is a major political, economic, cultural, scientific, religious, financial, educational, and transportation centre of Russia and the continent...

) was a Russian
Russians
The Russian people are an East Slavic ethnic group native to Russia, speaking the Russian language and primarily living in Russia and neighboring countries....

 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....

. He is best known for his formulation of Boolean algebra as the theory of the ring of integers mod 2, via what are now called Zhegalkin polynomial
Zhegalkin polynomial
Zhegalkin polynomials form one of many possible representations of the operations of boolean algebra. Introduced by the Russian mathematician I.I. Zhegalkin in 1927, they are the polynomials of ordinary high school algebra interpreted over the integers mod 2...

s.

Zhegalkin was professor of mathematics at Moscow State University
Moscow State University
Lomonosov Moscow State University , previously known as Lomonosov University or MSU , is the largest university in Russia. Founded in 1755, it also claims to be one of the oldest university in Russia and to have the tallest educational building in the world. Its current rector is Viktor Sadovnichiy...

. He helped found the thriving mathematical logic
Mathematical logic
Mathematical logic is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic. The field includes both the mathematical study of logic and the applications of formal logic to other areas of mathematics...

 group there, which became the Department of Mathematical Logic established by Sofia Janovskaja in 1959. Reminiscing on his student days, Nikolai Luzin
Nikolai Luzin
Nikolai Nikolaevich Luzin, , was a Soviet/Russian mathematician known for his work in descriptive set theory and aspects of mathematical analysis with strong connections to point-set topology. He was the eponym of Luzitania, a loose group of young Moscow mathematicians of the first half of the...

 recalls Zhegalkin as the only professor he was not afraid of.

See also

  • Zhegalkin polynomial
    Zhegalkin polynomial
    Zhegalkin polynomials form one of many possible representations of the operations of boolean algebra. Introduced by the Russian mathematician I.I. Zhegalkin in 1927, they are the polynomials of ordinary high school algebra interpreted over the integers mod 2...

  • Moscow State University
    Moscow State University
    Lomonosov Moscow State University , previously known as Lomonosov University or MSU , is the largest university in Russia. Founded in 1755, it also claims to be one of the oldest university in Russia and to have the tallest educational building in the world. Its current rector is Viktor Sadovnichiy...

  • Boolean algebra (introduction)
  • Boolean logic
    Boolean logic
    Boolean algebra is a logical calculus of truth values, developed by George Boole in the 1840s. It resembles the algebra of real numbers, but with the numeric operations of multiplication xy, addition x + y, and negation −x replaced by the respective logical operations of...

  • Boolean algebras
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