VLADIMIR I. ARNOLD-Collected Works
portes grátis
VLADIMIR I. ARNOLD-Collected Works
Symplectic Topology, Dynamics of Intersections, and Catastrophe Theory 1986-1991
Khesin, Boris A.; Sevryuk, Mikhail B.; Arnold, Vladimir I.; Vassiliev, Victor A.
Springer International Publishing AG
01/2025
540
Dura
9783031773945
Pré-lançamento - envio 15 a 20 dias após a sua edição
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1 The Sturm theorems and symplectic geometry.- 2 First steps of symplectic topology.- 3 First steps of symplectic topology.- 4 On some problems in symplectic topology.- 5 Contact structure, relaxation oscillations and singular points of implicit differential equations.- 6 Contact geometry and wave propagation.- 7 Contact geometry: the geometrical method of Gibbs's thermodynamics.- 8 Hyperbolic polynomials and Vandermonde mappings.- 9 On surfaces defined by hyperbolic equations.- 10 On the interior scattering of waves, defined by hyperbolic variational principles.- 11 The ramified covering CP^2 ? S^4, hyperbolicity, and projective topology.- 12 Quasicrystals, Penrose tilings, Markov partitions, stochastic web, and
singularity theory.- 13 Remarks on quasicrystallic symmetries.- 14 Dynamics of complexity of intersections.- 15 Dynamics of intersections.- 16 Cardiac arrhythmias and circle mappings.- 17 Remarks on Poisson structures on the plane and on other powers of volume forms.- 18 Convex hulls and increasing the output of systems under a pulsating load.- 19 Spaces of functions with moderate singularities.- 20 ??-graded algebras and continued fractions.- 21 Topological and ergodic properties of closed 1-forms with incommensurable periods.- 22 Bifurcations and singularities in mathematics and mechanics.- 23 Singularities and bifurcations of potential flows.- 24 Singularities of the boundaries of spaces of differential equations.- 25 Some unsolved problems of the theory of differential equations and mathematical physics.- 26 Ten problems.- 27 Evolution processes and ordinary differential equations.- 28 The tercentennial of mathematical natural sciences and celestial mechanics.- 29 Kepler's second law and the topology of Abelian integrals (according to Newton).- 30 The topological proof of transcendence of Abelian integrals in Newton's "Mathematical Principles of Natural Philosophy".- 31 Newton's Principia read 300 years later.- 32 Meanders.- 33 A mathematical trivium.- 33a Comments on "A mathematical trivium" by V. Arnold.- 34 A mathematical trivium II.- 35 The catastrophe theory and new opportunities for application of mathematics.- 36 Catastrophe theory.- 37 Catastrophe theory.- 38 Conversation with Vladimir Igorevich Arnold (an interview with S. Zdravkovska).- 39 Arnold in his own words (an interview with S.L. Tabachnikov).- 40 Mathematics in the work of Ya.B. Zeldovich.- 41 YaB and mathematics.- 42 Remembering A.N. Kolmogorov.- 43 A few words on Andrei Nikolaevich Kolmogorov.- 44 A.N. Kolmogorov.- 45 On A.N. Kolmogorov.- 46 Look for talents!.- 47 Mathematics with a human face.- 48 Encyclopaedia of Mathematical Sciences, or mathematics with a human face.- 49 Preface to the Russian translation of the book by P.A. Griffiths "Exterior Differential Systems and the Calculus of Variations".- 50 Preface to the Russian translation (in the form of a book) of the article by P. Scott "The geometries of 3-manifolds".- 51 Preface to the Russian translation of the book by J.W. Bruce and P.J. Giblin "Curves and Singularities. A Geometrical Introduction to Singularity Theory".- Acknowledgements.
singularity theory.- 13 Remarks on quasicrystallic symmetries.- 14 Dynamics of complexity of intersections.- 15 Dynamics of intersections.- 16 Cardiac arrhythmias and circle mappings.- 17 Remarks on Poisson structures on the plane and on other powers of volume forms.- 18 Convex hulls and increasing the output of systems under a pulsating load.- 19 Spaces of functions with moderate singularities.- 20 ??-graded algebras and continued fractions.- 21 Topological and ergodic properties of closed 1-forms with incommensurable periods.- 22 Bifurcations and singularities in mathematics and mechanics.- 23 Singularities and bifurcations of potential flows.- 24 Singularities of the boundaries of spaces of differential equations.- 25 Some unsolved problems of the theory of differential equations and mathematical physics.- 26 Ten problems.- 27 Evolution processes and ordinary differential equations.- 28 The tercentennial of mathematical natural sciences and celestial mechanics.- 29 Kepler's second law and the topology of Abelian integrals (according to Newton).- 30 The topological proof of transcendence of Abelian integrals in Newton's "Mathematical Principles of Natural Philosophy".- 31 Newton's Principia read 300 years later.- 32 Meanders.- 33 A mathematical trivium.- 33a Comments on "A mathematical trivium" by V. Arnold.- 34 A mathematical trivium II.- 35 The catastrophe theory and new opportunities for application of mathematics.- 36 Catastrophe theory.- 37 Catastrophe theory.- 38 Conversation with Vladimir Igorevich Arnold (an interview with S. Zdravkovska).- 39 Arnold in his own words (an interview with S.L. Tabachnikov).- 40 Mathematics in the work of Ya.B. Zeldovich.- 41 YaB and mathematics.- 42 Remembering A.N. Kolmogorov.- 43 A few words on Andrei Nikolaevich Kolmogorov.- 44 A.N. Kolmogorov.- 45 On A.N. Kolmogorov.- 46 Look for talents!.- 47 Mathematics with a human face.- 48 Encyclopaedia of Mathematical Sciences, or mathematics with a human face.- 49 Preface to the Russian translation of the book by P.A. Griffiths "Exterior Differential Systems and the Calculus of Variations".- 50 Preface to the Russian translation (in the form of a book) of the article by P. Scott "The geometries of 3-manifolds".- 51 Preface to the Russian translation of the book by J.W. Bruce and P.J. Giblin "Curves and Singularities. A Geometrical Introduction to Singularity Theory".- Acknowledgements.
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symplectic topology;intersections;catastrophe theory;contact geometry;quasicrystals
1 The Sturm theorems and symplectic geometry.- 2 First steps of symplectic topology.- 3 First steps of symplectic topology.- 4 On some problems in symplectic topology.- 5 Contact structure, relaxation oscillations and singular points of implicit differential equations.- 6 Contact geometry and wave propagation.- 7 Contact geometry: the geometrical method of Gibbs's thermodynamics.- 8 Hyperbolic polynomials and Vandermonde mappings.- 9 On surfaces defined by hyperbolic equations.- 10 On the interior scattering of waves, defined by hyperbolic variational principles.- 11 The ramified covering CP^2 ? S^4, hyperbolicity, and projective topology.- 12 Quasicrystals, Penrose tilings, Markov partitions, stochastic web, and
singularity theory.- 13 Remarks on quasicrystallic symmetries.- 14 Dynamics of complexity of intersections.- 15 Dynamics of intersections.- 16 Cardiac arrhythmias and circle mappings.- 17 Remarks on Poisson structures on the plane and on other powers of volume forms.- 18 Convex hulls and increasing the output of systems under a pulsating load.- 19 Spaces of functions with moderate singularities.- 20 ??-graded algebras and continued fractions.- 21 Topological and ergodic properties of closed 1-forms with incommensurable periods.- 22 Bifurcations and singularities in mathematics and mechanics.- 23 Singularities and bifurcations of potential flows.- 24 Singularities of the boundaries of spaces of differential equations.- 25 Some unsolved problems of the theory of differential equations and mathematical physics.- 26 Ten problems.- 27 Evolution processes and ordinary differential equations.- 28 The tercentennial of mathematical natural sciences and celestial mechanics.- 29 Kepler's second law and the topology of Abelian integrals (according to Newton).- 30 The topological proof of transcendence of Abelian integrals in Newton's "Mathematical Principles of Natural Philosophy".- 31 Newton's Principia read 300 years later.- 32 Meanders.- 33 A mathematical trivium.- 33a Comments on "A mathematical trivium" by V. Arnold.- 34 A mathematical trivium II.- 35 The catastrophe theory and new opportunities for application of mathematics.- 36 Catastrophe theory.- 37 Catastrophe theory.- 38 Conversation with Vladimir Igorevich Arnold (an interview with S. Zdravkovska).- 39 Arnold in his own words (an interview with S.L. Tabachnikov).- 40 Mathematics in the work of Ya.B. Zeldovich.- 41 YaB and mathematics.- 42 Remembering A.N. Kolmogorov.- 43 A few words on Andrei Nikolaevich Kolmogorov.- 44 A.N. Kolmogorov.- 45 On A.N. Kolmogorov.- 46 Look for talents!.- 47 Mathematics with a human face.- 48 Encyclopaedia of Mathematical Sciences, or mathematics with a human face.- 49 Preface to the Russian translation of the book by P.A. Griffiths "Exterior Differential Systems and the Calculus of Variations".- 50 Preface to the Russian translation (in the form of a book) of the article by P. Scott "The geometries of 3-manifolds".- 51 Preface to the Russian translation of the book by J.W. Bruce and P.J. Giblin "Curves and Singularities. A Geometrical Introduction to Singularity Theory".- Acknowledgements.
singularity theory.- 13 Remarks on quasicrystallic symmetries.- 14 Dynamics of complexity of intersections.- 15 Dynamics of intersections.- 16 Cardiac arrhythmias and circle mappings.- 17 Remarks on Poisson structures on the plane and on other powers of volume forms.- 18 Convex hulls and increasing the output of systems under a pulsating load.- 19 Spaces of functions with moderate singularities.- 20 ??-graded algebras and continued fractions.- 21 Topological and ergodic properties of closed 1-forms with incommensurable periods.- 22 Bifurcations and singularities in mathematics and mechanics.- 23 Singularities and bifurcations of potential flows.- 24 Singularities of the boundaries of spaces of differential equations.- 25 Some unsolved problems of the theory of differential equations and mathematical physics.- 26 Ten problems.- 27 Evolution processes and ordinary differential equations.- 28 The tercentennial of mathematical natural sciences and celestial mechanics.- 29 Kepler's second law and the topology of Abelian integrals (according to Newton).- 30 The topological proof of transcendence of Abelian integrals in Newton's "Mathematical Principles of Natural Philosophy".- 31 Newton's Principia read 300 years later.- 32 Meanders.- 33 A mathematical trivium.- 33a Comments on "A mathematical trivium" by V. Arnold.- 34 A mathematical trivium II.- 35 The catastrophe theory and new opportunities for application of mathematics.- 36 Catastrophe theory.- 37 Catastrophe theory.- 38 Conversation with Vladimir Igorevich Arnold (an interview with S. Zdravkovska).- 39 Arnold in his own words (an interview with S.L. Tabachnikov).- 40 Mathematics in the work of Ya.B. Zeldovich.- 41 YaB and mathematics.- 42 Remembering A.N. Kolmogorov.- 43 A few words on Andrei Nikolaevich Kolmogorov.- 44 A.N. Kolmogorov.- 45 On A.N. Kolmogorov.- 46 Look for talents!.- 47 Mathematics with a human face.- 48 Encyclopaedia of Mathematical Sciences, or mathematics with a human face.- 49 Preface to the Russian translation of the book by P.A. Griffiths "Exterior Differential Systems and the Calculus of Variations".- 50 Preface to the Russian translation (in the form of a book) of the article by P. Scott "The geometries of 3-manifolds".- 51 Preface to the Russian translation of the book by J.W. Bruce and P.J. Giblin "Curves and Singularities. A Geometrical Introduction to Singularity Theory".- Acknowledgements.
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