Biography of Joseph Arkin
Arkin, Senior Lecturer for the past eight years in the Department of
Mathematical Sciences, United States Military Academy, retired on 23 September
1994. Joseph Arkin was born on 25
May 1923, at Brooklyn, New York. He
served his country in the Army during World War II and was retired as a disabled
American Veteran. Without any
formal education beyond his high school training at Boy's High in Brooklyn, he
managed to study on his own and learned the concepts and theoretical foundations
of number theory. He helped others
learn about the beauty of mathematics by serving as a part-time instructor at
Ramapo Public Schools (1962-67) and as a part-time Visiting Lecturer at Orange
County Community College (1962-67). He
has been a member of the American Mathematical Society and the Mathematics
Association of America since 1967 and became a charter member of the Fibonacci
Society in 1965.
Arkin began working informally with Academy faculty in 1986 and was formally
appointed a Lecturer in the Department of Mathematical Sciences in 1988. This was his first formal appointment. In 1990 he was promoted to Senior Lecturer.
His vast knowledge, intuitive understanding of the properties and
relationships of numbers, and his drive to solve the deepest mysteries of number
theory, gave him the skills and motivation to perform state-of-the-art research
and solve some of the most challenging problems in this field.
Arkin's first published work appeared in the American
of Joseph Arkin's, significant results are in the form of extensions and
generalizations of earlier classical works of great mathematicians. Some of his papers of this type are: "An Extension of a
Theorem of Ramanujan," "A Note on a Theorem of Jacobi,"
"Researches on Some Classical Problems," Exploded Myths,"
"New Observations on Fermat's Last Theorem," "On Euler's Solution
to a Problem of Diophantus," and "An Extension of E. B. Straus'
Perfect Latin 3-Cube of Order 7.11 Most of his work was performed in several
related areas of number theory. In
particular, Arkin made tremendous contributions in the following areas:
Fibonacci and other recursive sequences, partitions, tilings, magic square and
cubes, and Latin squares and cubes.
Joseph Arkin was presented with an honorary Ph.D. from Brantridge School in England in 1967. His awards include the Certificate of Appreciation for Patriotic Civilian Service and the Commander's Award for Public Service. To stay active in mathematics, Joseph Arkin is continuing his research work on number theory, although at a slower pace than his first 30 years of productive mathematics research work.
COL David C. Arney, 1994.