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Produktbild: Vladimir I. Arnold - Collected Works
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Vladimir I. Arnold - Collected Works Spaces and Singularities of Curves, Mathematical Trinities, and Mathematical Education 1996–1999

Aus der Reihe Vladimir I. Arnold - Collected Works

212,99 €

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

15.03.2026

Abbildungen

XVIII, 502 p. 143 illus., 6 illus. in color.

Herausgeber

Boris A. Khesin + weitere

Verlag

Springer

Seitenzahl

502

Maße (B/H)

15,5/23,5 cm

Sprache

Englisch

ISBN

978-3-031-77487-4

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

15.03.2026

Abbildungen

XVIII, 502 p. 143 illus., 6 illus. in color.

Herausgeber

Verlag

Springer

Seitenzahl

502

Maße (B/H)

15,5/23,5 cm

Sprache

Englisch

ISBN

978-3-031-77487-4

Herstelleradresse

Springer Nature Customer Service Center GmbH
Europaplatz 3
69115 Heidelberg
DE
ProductSafety@springernature.com

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  • Produktbild: Vladimir I. Arnold - Collected Works

  • 1 Remarks on the enumeration of plane curves.- 2 Remarks on the extatic points of plane curves.- 3 On the number of flattening points on space curves.- 4 Remarks on the parabolic curves on surfaces and on the higher-dimensional Möbius–Sturm theory.- 5 Towards the Legendre Sturm theory of space curves.- 6 Topological problems of the theory of asymptotic curves.- 7 Simple singularities of curves.- 8 Topological classification of trigonometric polynomials and combinatorics of graphs with an equal number of vertices and edges.- 9 Topological classification of real trigonometric polynomials and cyclic serpents polyhedron.- 10 Topological problems of the theory of wave propagation.- 11 Topological content of the Maxwell theorem on multipole representation of spherical functions.- 12 Topologically necessary singularities on moving wavefronts and caustics.- 13 An appendix in the book Fewnomials by A.G. Khovanskii.- 14 Singularities of fractions and behavior of polynomials at infinity.- 15 Remarks concerning the Morse theory of a divergence-free vector field, the averaging method, and the motion of a charged particle in a magnetic field.- 16 On the problem of realization of a given Gaussian curvature function.- 17 Relatives of the quotient of the complex projective plane by the complex



    conjugation.- 18 First steps of local symplectic algebra.- 19 First steps of local contact algebra.- 20 Higher-dimensional continued fractions.- 21 Weak asymptotics for the numbers of solutions of Diophantine problems.- 22 Mysterious mathematical trinities.- 23 The principle of topological economy in algebraic geometry.- 24 Translation of the V.I. Arnold paper “From superpositions to KAM theory”.- 25 From Hilbert’s superposition problem to dynamical systems.- 25a Recollections (by Jurgen Moser).- 26 Symplectization, complexification and mathematical trinities.- 27 Topological problems in wave propagation theory and topological economy principle in algebraic geometry.- 28 Catastrophe theory.- 29 Mathematics and physics: mother and daughter or sisters?.- 30 “Hard” (“rigid”) and “soft” (“flexible”) mathematical models.- 31 Repartitioning the world: Population and the powers of two.- 32 On some problems of pseudo-periodic topology.- 33 Preface to the book “Pseudoperiodic Topology”.- 34 An interview with Vladimir Arnold (by S.H. Lui).- 35 Vershik work needs acknowledgement.- 35a On Arnold’s Letter to the Notices of the AMS (by V.M. Vershik).- 36 The Russian edition of the works by David Hilbert.- 37 A disciple of the Moscow mathematical school has been awarded the Fields medal.- 38 About Vladimir Abramovich Rokhlin.- 39 Mathematics and mathematical education in the contemporary world.- 40 Mathematical illiteracy is more destructive than the fires of the inquisition.- 41 On teaching mathematics.- 42 Excerpts from the review of the textbook “Mathematical Analysis”.- 43 The antiscientific revolution and mathematics.- 44 Answers to the questionnaire of the European Mathematical Society.- 45 International mathematical congress in Berlin.- 46 Preface to the book “International Congress of Mathematicians in Kyoto.- 47 Preface to the book “International Congress of Mathematicians in Zürich.- 48 Preface to the Russian translation of the book “Concrete Mathematics.- 49 On the epigraph to “Eugene Onegin”.- 49a On Arnold’s and Pushkin’s puzzles (by Boris Khesin).- Acknowledgements .