VLADIMIR I. ARNOLD-Collected Works
portes grátis
VLADIMIR I. ARNOLD-Collected Works
Dynamics, Combinatorics, and Invariants of Knots, Curves, and Wave Fronts 1992-1995
Viro, Oleg Ya.; Khesin, Boris A.; Sevryuk, Mikhail B.; Arnold, Vladimir I.; Vassiliev, Victor A.; Givental, Alexander B.
Springer International Publishing AG
02/2023
491
Dura
Inglês
9783031048005
15 a 20 dias
Descrição não disponível.
1 Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetics.- 2 Congruences for Euler, Bernoulli and Springer numbers of Coxeter groups.- 3 The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups.- 4 Springer numbers and Morsification spaces.- 5 Polyintegrable flows.- 6 Bounds for Milnor numbers of intersections in holomorphic dynamical systems.- 7 Some remarks on symplectic monodromy of Milnor fibrations.- 8 Topological properties of Legendre projections in contact geometry of wave fronts [On topological properties of Legendre projections in contact geometry of wave fronts].- 9 Sur les proprietes topologiques des projections lagrangiennes en geometrie symplectique des caustiques [On topological properties of Lagrangian projections in symplectic geometry of caustics].- 10 Plane curves, their invariants, perestroikas and classifications (with an appendix by F. Aicardi).- 11 Invariants and perestroikas of plane fronts.- 12 The Vassiliev theory of discriminants and knots.- 13 The geometry of spherical curves and the algebra of quaternions.- 14 Remarks on eigenvalues and eigenvectors of Hermitian matrices, Berry phase, adiabatic connections and quantum Hall effect.- 15 Problems on singularities and dynamical systems.- 16 Sur quelques problemes de la theorie des systemes dynamiques [On some problems in the theory of dynamical systems].- 17 Mathematical problems in classical physics.- 18 Problemes resolubles et problemes irresolubles analytiques et geometriques [Solvable and unsolvable analytic and geometric problems].- 19 Projective topology.- 20 Questions a V.I. Arnold (an interview with M. Audin and P. Iglesias) [Questions to V.I. Arnold].- 21 En todo matematico hay un angel y un demonio (an interview with Marimar Jimenez) [In every mathematician, there is an angel and a devil].- 22 Will Russian mathematics survive?.- 23 Will mathematics survive? Report on the Zurich Congress.- 24 Why study mathematics? What mathematicians think about it.- 25 Preface to the Russian translation of the book by M.F. Atiyah "The Geometry and Physics of Knots".- 26 A comment on one of A.D. Sakharov's "Amateur Problems".- 27 Comments on two of A.D. Sakharov's "Amateur Problems".- Acknowledgements.
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combinatorics;dynamics;invariants of knots;dynamical systems;projective topology
1 Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetics.- 2 Congruences for Euler, Bernoulli and Springer numbers of Coxeter groups.- 3 The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups.- 4 Springer numbers and Morsification spaces.- 5 Polyintegrable flows.- 6 Bounds for Milnor numbers of intersections in holomorphic dynamical systems.- 7 Some remarks on symplectic monodromy of Milnor fibrations.- 8 Topological properties of Legendre projections in contact geometry of wave fronts [On topological properties of Legendre projections in contact geometry of wave fronts].- 9 Sur les proprietes topologiques des projections lagrangiennes en geometrie symplectique des caustiques [On topological properties of Lagrangian projections in symplectic geometry of caustics].- 10 Plane curves, their invariants, perestroikas and classifications (with an appendix by F. Aicardi).- 11 Invariants and perestroikas of plane fronts.- 12 The Vassiliev theory of discriminants and knots.- 13 The geometry of spherical curves and the algebra of quaternions.- 14 Remarks on eigenvalues and eigenvectors of Hermitian matrices, Berry phase, adiabatic connections and quantum Hall effect.- 15 Problems on singularities and dynamical systems.- 16 Sur quelques problemes de la theorie des systemes dynamiques [On some problems in the theory of dynamical systems].- 17 Mathematical problems in classical physics.- 18 Problemes resolubles et problemes irresolubles analytiques et geometriques [Solvable and unsolvable analytic and geometric problems].- 19 Projective topology.- 20 Questions a V.I. Arnold (an interview with M. Audin and P. Iglesias) [Questions to V.I. Arnold].- 21 En todo matematico hay un angel y un demonio (an interview with Marimar Jimenez) [In every mathematician, there is an angel and a devil].- 22 Will Russian mathematics survive?.- 23 Will mathematics survive? Report on the Zurich Congress.- 24 Why study mathematics? What mathematicians think about it.- 25 Preface to the Russian translation of the book by M.F. Atiyah "The Geometry and Physics of Knots".- 26 A comment on one of A.D. Sakharov's "Amateur Problems".- 27 Comments on two of A.D. Sakharov's "Amateur Problems".- Acknowledgements.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
