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Professor Arnold is a prolific and versatile mathematician who has done striking work in differential equations and geometrical aspects of analysis.
Differential geometry. Global analysis --- Critical point theory (Mathematical analysis). --- Differential topology. --- Geometry, Differential. --- Singularities (Mathematics). --- 515.16 --- Singularities (Mathematics) --- Geometry, Algebraic --- 515.16 Topology of manifolds --- Topology of manifolds --- Critical point theory (Mathematical analysis) --- Differential topology --- Geometry, Differential --- Differential geometry --- Topology --- Calculus of variations --- Global analysis (Mathematics) --- Differentiable mappings --- Applications différentiables --- Singularités (mathématiques) --- Topologie différentielle --- Géometrie différentielle --- Differentiable mappings. --- Applications différentiables --- Géometrie différentielle --- Singularités (mathématiques) --- Topologie différentielle --- Topologie differentielle
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Mechanics, Analytic --- Mechanics, Celestial --- 517.925 --- Systems and analytic theory of ordinary differential equations --- 517.925 Systems and analytic theory of ordinary differential equations --- Celestial mechanics --- Differentiable dynamical systems --- Mécanique analytique --- Mécanique céleste --- Systèmes dynamiques --- Dynamics. --- Symplectic geometry --- Géométrie symplectique --- Mécanique analytique. --- Mécanique céleste. --- Systèmes dynamiques. --- Géométrie symplectique.
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Mechanics, Analytic. --- Celestial mechanics --- 517.987 --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Mechanics, Analytic --- Mécanique analytique --- Mécanique céleste
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V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.
Finite fields (Algebra) --- Galois theory. --- Equations, Theory of --- Group theory --- Number theory --- Modular fields (Algebra) --- Algebra, Abstract --- Algebraic fields --- Galois theory --- Modules (Algebra)
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