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1.

図書

図書
Edward Bierstone ... [et al.], editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  xvii, 555 p. ; 27 cm.
シリーズ名: Fields Institute communications ; 24
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目次情報: 続きを見る
From Hilbert's superposition problem to dynamical systems / V. I. Arnold
Recollections / J. Moser
Symplectization, complexification and mathematical trinities
Topological problems in wave propagation theory and topological economy principle in algebraic geometry
Geometry and control of three-wave interactions / M. S. Alber ; G. G. Luther ; J. E. Marsden ; J. M. Robbins
Standard basis along a Samuel stratum, and implicit differentiation / E. Bierstone ; P. D. Milman
A global weighted version of Bezout's theorem / J. Damon
Real Enriques surfaces without real points and Enriques-Einstein-Hitchin 4-manifolds / A. Degtyarev ; V. Kharlamov
On the index of a vector field at an isolated singularity / W. Ebeling ; S. M. Gusein-Zade
The exponential map on $\mathcal{D}^s_\mu$ / D. G. Ebin ; G. Misiolek
Zeldovich's neutron star and the prediction of magnetic froth / M. H. Freedman
Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds / K. Fukaya ; K. Ono
Multiplicity of a zero of an analytic function on a trajectory of a vector field / A. Gabrielov
Singularity theory and symplectic topology / A. B. Givental
On enumeration of meromorphic functions on the line / V. V. Goryunov ; S. K. Lando
Pseudoholomorphic curves and dynamics / H. Hofer ; E. Zehnder
Bifurcation of planar and spatial polycycles: Arnold's program and its development / Yu. S. Ilyashenko ; V. Yu. Kaloshin
Singularity which has no $M$-smoothing / V. M. Kharlamov ; S. Yu. Orevkov ; E. I. Shustin
Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces / B. Khesin ; A. Rosly
Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations / A. Khovanskii
Interactions of Andronov-Hopf and Bogdanov-Takens bifurcations / W. F. Langford ; K. Zhan
Solutions of the qKZB equation in tensor products of finite dimensional modules over the elliptic quantum group $E_{\tau,\eta}sl_2$ / E. Mukhin ; A. Varchenko
Schrodinger operators on graphs and symplectic geometry / S. P. Novikov
On the dominant Fourier modes in the series associated with separatrix splitting for an a-priori stable, three degree-of-freedom Hamiltonian system / M. Rudnev ; S. Wiggins
Homology of $i$-connected graphs and invariants of knots, plane arrangements, etc. / V. A. Vassiliev
On Arnold's variational principles in fluid mechanics / V. A. Vladimirov ; K. I. Ilin
On functions and curves defined by ordinary differential equations / S. Yakovenko
Global finiteness properties of analytic families and algebra of their Taylor coefficients / Y. Yomdin
From Hilbert's superposition problem to dynamical systems / V. I. Arnold
Recollections / J. Moser
Symplectization, complexification and mathematical trinities
2.

図書

図書
Vladimir Arnold, Maxim Kontsevich, Anton Zorich, editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  xii, 178 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 197 . Advances in the mathematical sciences (formerly advances in Soviet mathematics) ; 46
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On the topology of quasiperiodic functions / S. M. Gusein-Zade
Statistics of Klein polyhedra and multidimensional continued fractions / M. L. Kontsevich ; Yu. M. Suhov
$C^0$-generic properties of boundary operators in the Novikov complex / A. Pajitnov
Pseudoperiodic mappings / D. A. Panov
How do the leaves of a closed 1-form wind around a surface? / A. Zorich
On the topology of quasiperiodic functions / S. M. Gusein-Zade
Statistics of Klein polyhedra and multidimensional continued fractions / M. L. Kontsevich ; Yu. M. Suhov
$C^0$-generic properties of boundary operators in the Novikov complex / A. Pajitnov
3.

図書

図書
V.I. アーノルド著 ; 蟹江幸博訳
出版情報: 東京 : シュプリンガー・フェアラーク東京, 1999.7  v, 151p, 図版[4]p ; 19cm
シリーズ名: シュプリンガー数学クラブ
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4.

図書

図書
V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink, editors
出版情報: Basel ; Boston : Birkhäuser Verlag, c1998  xxv, 458 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 162
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5.

図書

図書
Vladimir I. Arnold, Boris A. Khesin
出版情報: New York : Springer, c1998  xv, 374 p. ; 24 cm
シリーズ名: Applied mathematical sciences ; v. 125
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6.

図書

図書
A. Khovanskiĭ, A. Varchenko, V. Vassiliev, editors ; [translation edited by A.B. Sossinsky]
出版情報: Providence, R.I. : American Mathematical Society, c1997  xiii, 255 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 180 . Advances in the mathematical sciences (formerly Advances in Soviet Mathematics) ; 34
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7.

図書

図書
V.I. Arnold ... [et al.], editors
出版情報: Boston : Birkhäuser, c1997  vi, 437 p. ; 25 cm
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8.

図書

図書
V.I. Arnold, editor
出版情報: Providence, R.I. : American Mathematical Society, c1994  x, 262 p. ; 27 cm
シリーズ名: Advances in Soviet mathematics ; v. 21
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9.

図書

図書
V.I. Arnold
出版情報: Pisa : Scuola normale superiore, 1991  72 p. ; 24 cm
シリーズ名: Pubblicazioni della Classe di scienze / Scuola Normale Superiore ; . Lezioni fermiane
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目次情報: 続きを見る
Ten problems / V. I. Arnold
Topology of complements to discriminants and loop spaces / V. A. Vassiliev
Cohomology of knot spaces
Nonlinear generalization of the Maslov index / A. B. Givental
Singularities of light hypersurfaces and structure of hyperbolicity sets for systems of partial differential equations / B. A. Khesin
Degree of smoothness for visible contours of convex hypersurfaces / I. A. Bogaevsky
Real vanishing inflections and boundary singularities / Yu. M. Baryshnikov
Indices for extremal embeddings of 1-complexes
Bifurcation of flattenings and Schubert cells / M. E. Kazarian
Projections of generic surfaces with boundaries / V. V. Goryunov
Generating ideals of Lagrangian varieties / V. M. Zakalyukin
Nonisolated hypersurface singularities / A. G. Aleksandrov
Structure of uniform estimates in partial phase deformation / V. N. Karpushkin
On the stratification and singularities of the Stokes hypersurface of one- and two-parameter families of polynomials / V. P. Kostov
Euler characteristics for links of Schubert cells in the space of complete flags / B. Z. Shapiro ; A. D. Vainshtein
Weierstrass preparation theorem for finitely smooth modules / V. I. Bakhtin
Singularities for projections of integral manifolds with applications to control and observation problems / A. N. Shoshitaishvili
Ten problems / V. I. Arnold
Topology of complements to discriminants and loop spaces / V. A. Vassiliev
Cohomology of knot spaces
10.

図書

図書
Vladimir I. Arnol'd ; translated from the Russian by Roger Cooke
出版情報: Berlin : Tokyo : Springer-Verlag, c1992  334 p. ; 24 cm
シリーズ名: Springer textbook
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目次情報: 続きを見る
Preface
Frequently Used Notation
Basic Concepts / 1:
Phase Spaces and Phase Flows
Vector Fields on the Line / 2:
Phase Flows on the Line / 3:
Vector Fields and Phase Flows in the Plane / 4:
Nonautonomous Equations / 5:
The Tangent Space / 6:
Basic Theorems
The Vector Field near a Nonsingular Point / 7:
Applications to the Nonautonomous Case / 8:
Applications to Equations of Higher Order / 9:
Phase Curves of Autonomous Systems / 10:
The Directional Derivative. First Integrals / 11:
Conservative Systems with One Degree of Freedom / 12:
Linear Systems
Linear Problems / 13:
The Exponential of an Operator / 14:
Properties of the Exponential / 15:
The Determinant of the Exponential / 16:
The Case of Distinct Real Eigenvalues / 17:
Complexification and Decomplexification / 18:
Linear Equations with a Complex Phase Space / 19:
Complexification of a Real Linear Equation / 20:
Classification of Singular Points of Linear Systems / 21:
Topological Classification of Singular Points / 22:
Stability of Equilibrium Positions / 23:
The Case of Purely Imaginary Eigenvalues / 24:
The Case of Multiple Eigenvalues / 25:
More on Quasi-Polynomials / 26:
Nonautonomous Linear Equations / 27:
Linear Equations with Periodic Coefficients / 28:
Variation of Constants / 29:
Proofs of the Basic Theorems
Contraction Mappings / 30:
The Existence, Uniqueness, and Continuity Theorems / 31:
The Differentiable Manifolds / 33:
The Tangent Bundle. Vector Fields on a Manifold / 34:
The Phase Flow Determined by a Vector Field / 35:
The Index of a Singular Point of a Vector Field / 36:
Sample Examination Problems
Bibliography
Index
Preface
Frequently Used Notation
Basic Concepts / 1:
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