Notices of the American Mathematical Society
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Featured Articles and Invitations from the AMS
A 1940 Letter of André Weil on Analogy in Mathematics
Translated by Martin H. Krieger
Martin H. Krieger translates André Weil's 1940 letter to his sister. Weil comments, from prison, and to a nonexpert, on the history of number theory and on analogy in mathematics research. Weil's writing is of interest both historically and for his insights into doing mathematical research.
Nonholonomic Dynamics
Anthony M. Bloch, Jerrold E. Marsden, Dmitry V. Zenkov
Nonholonomic dynamical systems are mechanical systems, like a falling rolling disk, whose velocities have constraints that can't be derived from their position constraints. The authors review the history and some recent progress in the study of such systems.