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A. Adrian Albert (1905–1972)

Author of Fundamental Concepts of Higher Algebra

18 Works 118 Members 1 Review

About the Author

Works by A. Adrian Albert

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Common Knowledge

Canonical name
Albert, A. Adrian
Legal name
Albert, Abraham Adrian
Birthdate
1905-11-09
Date of death
1972-06-06
Gender
male
Education
University of Chicago (BS| MA| PhD)
Princeton University
Occupations
mathematician
textbook author
Organizations
University of Chicago
Columbia University
Princeton University
Office of Naval Research
National Research Council
National Science Foundation (show all 8)
American Academy of Arts and Sciences
American Mathematical Society (president 1965-66)
Awards and honors
Cole Prize (1939)
American Academy of Arts and Sciences (1968)
Relationships
Herstein, Israel Nathan (friend)
Dickson, Leonard (teacher)
Short biography
A. (Abraham) Adrian Albert was born in Chicago, Illinois, to Russian immigrant parents. In 1922, aged 17, he entered the University of Chicago, where he received his B.S. degree in 1926, his M.A. in 1927, and his PhD in mathematics in 1928, all by the age of 22. In 1927, while completing his studies, he married Frieda Davis, with whom he had three children. He spent a postdoctoral year at Princeton University on a National Research Council Fellowship. From 1929 to 1931, he was an instructor at Columbia University in New York City. He then returned to the University of Chicago, where he rose steadily through the ranks to become professor in 1941 and chairman of the Department of Mathematics from 1958 to 1962. In 1960, he was named a Distinguished Service Professor, the highest honor the university could bestow. The following year, he accepted the demanding post of Dean of the Division of Physical Sciences for nine years. He wrote about a hundred scholarly papers on his main research interests of associative algebras, non-associative algebras, and Riemann matrices. His numerous books included Modern Higher Algebra (1937) and Structure of Algebras (1939), both definitive references. During World War II, he worked for the U.S. military as associate director of the Applied Mathematics Group at Northwestern University. One of his most notable achievements was his groundbreaking work on cryptography. He gave an invited address entitled "Some Mathematical Aspects of Cryptography" at a meeting of the American Mathematical Society in November 1941. The theory that developed from this work is seen today in digital communications technologies. Prof. Albert served on policy-making bodies such as the Office of Naval Research, the U.S. National Research Council, and the National Science Foundation that directed more research funding into mathematics, giving many young mathematicians new career opportunities. He was elected a Fellow of the American Academy of Arts and Sciences in 1968.
Nationality
USA
Birthplace
Chicago, Illinois, USA
Places of residence
Chicago, Illinois, USA
Place of death
Chicago, Illinois, USA
Associated Place (for map)
Chicago, Illinois, USA

Members

Reviews

1 review
This slim volume is a concise introduction to the basic topics of solid analytic geometry. The content is sufficient in quantity and velocity for a one-semester course for undergraduates. There is here a more rigorous consideration of general theory, as opposed to application cases and contrived exercises, than I see in modern texts aimed at the same level. Basically, the author starts from the general into the specific, a trend uncommon in comparable, modern texts. For instance, cylinders show more are introduced: “A cylinder is a surface consisting all of the points on all the lines which are parallel to a given line and which pass through a fixed plane curve in a plane not parallel to the given line.” There is something a tad awkward about these introductions. Yet, I appreciate the approach of beginning verbal before the mathematical and defining generally instead of building up from simpler examples, such as a right cylinder. This more easily admits of, say, an elliptic or even hyperbolic cylinder. The latter of which would strike many students as contrary to initial definitions and examples and even unsettling...

[Look for my entire review up at MAA Reviews.]
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Statistics

Works
18
Members
118
Popularity
#167,489
Rating
3.8
Reviews
1
ISBNs
24
Languages
1

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