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VLADIMIR I. ARNOLD-Collected Works - Dynamics, Combinatorics, and Invariants of Knots, Curves, and Wave Fronts 1992-1995 (Hardcover, 1st ed. 2023)
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VLADIMIR I. ARNOLD-Collected Works - Dynamics, Combinatorics, and Invariants of Knots, Curves, and Wave Fronts 1992-1995 (Hardcover, 1st ed. 2023)
Series: Vladimir I. Arnold - Collected Works, 6
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This volume 6 of the Collected Works comprises 27 papers by
V.I.Arnold, one of the most outstanding mathematicians of all
times, written in 1991 to 1995. During this period Arnold's
interests covered Vassiliev's theory of invariants and knots,
invariants and bifurcations of plane curves, combinatorics of
Bernoulli, Euler and Springer numbers, geometry of wave fronts, the
Berry phase and quantum Hall effect. The articles include a list of
problems in dynamical systems, a discussion of the problem of
(in)solvability of equations, papers on symplectic geometry of
caustics and contact geometry of wave fronts, comments on problems
of A.D.Sakharov, as well as a rather unusual paper on projective
topology. The interested reader will certainly enjoy Arnold's 1994
paper on mathematical problems in physics with the opening by-now
famous phrase "Mathematics is the name for those domains of
theoretical physics that are temporarily unfashionable." The book
will be of interest to the wide audience from college students to
professionals in mathematics or physics and in the history of
science. The volume also includes translations of two interviews
given by Arnold to the French and Spanish media. One can see how
worried he was about the fate of Russian and world mathematics and
science in general.
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