Joint Mathematics Meetings,

San Antonio, January 2006

(Click on images to enlarge.) | ||

Max Dehn
(1878-1952) and Ernst Hellinger (1883-1950) both taught at Frankfurt University
in the 1920s and 1930s until the rise of the Nazi party forced them to
separately immigrate to the United States. *From the Max Dehn Papers.*

C. L. Siegel's article, "Ueber Riemann's
arithmetischer Nachlass" ("On Riemann's
arithmetical Nachlass"), was part of a tribute to Arthur
Schoenflies, whom Siegel had replaced as professor of mathematics at Frankfurt
University six years earlier. His colleague Max Dehn, a former assistant of
David Hilbert, organized the compilation of the manuscript. *From the Max
Dehn Papers.*

Walter Feit (1930-2004) contributed to algebra, geometry, topology, number theory,
logic, and finite group theory. He began his career in mathematics in
1953, joining the mathematics faculty at Cornell. In 1964, Feit made the move
to Yale, where he remained for forty years until his retirement in 2003. *From
the Walter Feit Papers.*

The
254-page paper was published in 1963 and is widely
regarded as the most influential paper ever written on finite group theory. *From the Walter Feit Papers.*

Emil Grosswald (1912-1989) received a master's degree
from the University of Bucharest (1933) and continued his studies in Paris and
Montpelier. He arrived in the United States in 1946 and received his Ph.D. from
the University of Pennsylvania (1950). In 1952 he joined the Department of
Mathematics at the University of Pennsylvania. Grosswald was an analyst,
specializing in analytic number theory. His association with Hans Rademacher,
also on the faculty, led to Grosswald's editing of Rademacher's *Topics in
Analytic Number Theory* (1973) and *Collected
Papers* (1974). *From the Emil
Grosswald Papers.*

George
Bruce Halsted (1853-1922) was a fourth-generation Princeton graduate, earning
his bachelor's degree in 1875 and his master's in 1878. He was among J. J.
Sylvester's first students at Johns Hopkins, receiving his Ph.D. in 1879, and
also studied with Carl Borchardt in Berlin.
After graduation, Halsted served as an instructor in mathematics at Princeton,
where H. B. Fine was one of his students, until beginning his post at The
University of Texas (1884-1903) where he taught noted mathematicians R. L.
Moore and L. E. Dickson among other students. He explored the foundations of
geometry and introduced non-Euclidean geometry into the United States through
his own work and his many important translations. *From the George Bruce Halsted Papers.*

The *American
Mathematical Monthly* was established in 1894 by B. F. Finkel as a journal for teachers of
mathematics, primarily at the high school level. By 1913, he had teamed up with
H. E. Slaught of Chicago and gained the financial support of a consortium of
fourteen midwestern universities. Because this financial support was not
permanent, in 1915 Slaught raised the possibility of the *Monthly* becoming an official journal of
the American Mathematical Society (AMS). This was a hotly contested issue, as
many felt expanding the mission of the AMS was unwise. The AMS eventually
declined to sponsor the *Monthly*, but gave their support to the creation of a new
professional organization that would focus on broader mathematical issues. The
Mathematical Association of America (MAA) was established at a December 1915
meeting of 108 interested persons in Columbus, Ohio, presided over by E. R.
Hedrick. In 1920 the MAA was incorporated under Illinois law. *From the
Mathematical Association of America Records.*

From left to right, disregarding row: Wilfrid Wilson, J.
W. Alexander, W. L. Ayres, G. T. Whyburn, R. L. Wilder, P. M. Swingle, C. N.
Reynolds, W. W. Flexner, R. L. Moore, T. C. Benton, K. Menger, S. Lefschetz. *From
the R. L. Moore Papers.*

After completing his
undergraduate work at The University of Texas with George Bruce Halsted, Robert
Lee Moore earned his Ph.D. in mathematics in 1905 under the direction of Oswald
Veblen and E. H. Moore at the University of Chicago. Moore is recognized for
his Socratic method of teaching (known as the "Moore method") in which students
do not consult books or collaborate with colleagues. Instead, they attempt to
prove theorems on their own, utilizing a group of axioms. Moore was a professor
at The University of Texas from 1920 to 1969. *From the R. L. Moore Papers.*

Moore kept mathematical and personal notes in over 100
small brown notebooks like this one. He generally started a new notebook with
each topic and return to it as needed, sometimes over a period of years. *From
the R. L. Moore Papers.*

The "New Math" movement
drew widespread praise as well as extensive criticism. In this 1961 letter, E.
J. McShane, a professor of mathematics at the University of Virginia and a
former president of both the American Mathematical Society and the Mathematical
Association of America, writes to Edward Begle about criticisms of the School
Mathematics Study Group program from physicists, as told to McShane by Joe Weyl
(son of Hermann Weyl). The letter highlights
the ongoing conflict in the classroom between pure and applied mathematics. *From
the School Mathematics Study Group Records.*

Emma
Lehmer and her husband, Derrick Henry Lehmer, assisted H. S. Vandiver in his
work on Fermat's Last Theorem, primarily through the computation of Bernoulli
numbers. *From the H. S. Vandiver Papers.*

In
connection with his 1967 book *From Frege to Gšdel: A Source Book in Mathematical Logic, 1879-1931, *Jean van Heijenoort sought
Bertrand Russell's permission to publish a selection from Russell's 1902
correspondence with Gottlob Frege. In these letters, Russell discussed his
discovery of what came to be known as Russell's Paradox and revealed that
Frege's "fundamental assumption was in error." The letters were published in
van Heijenoort's book*.* *From the Jean van Heijenoort Papers.*

The exhibit was prepared and attended by Kristy Sorensen, Archivist, Archives of American Mathematics.

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Last revised 20 July 2006