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1.

図書

図書
V. Arnold ... [et al.], editors
出版情報: [Providence, R.I.] : American Mathematical Society, c2000  xi, 459 p. ; 26 cm
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Number theory, transcendence and Diophantine geometry in the next millennium / A. Baker ; G. Wustholz
Harmonic analysis and combinatorics: How much may they contribute to each other? / J. Bourgain
Back to Riemann / S.-S. Chern
Noncommutative geometry and the Riemann zeta function / A. Connes
Polynomials, vanishing cycles and Floer homology / S. K. Donaldson
The two cultures of mathematics / W. T. Gowers
Ten problems / V. F. R. Jones
An algebraic integration / D. Kazhdan
Mathematics: The right choice? / F. Kirwan
On some challenging problems in nonlinear partial differential equations / P.-L. Lions
Real world turbulence and modern applied mathematics / A. J. Majda
Mathematics as profession and vocation / Yu. I. Manin
Problems and conjectures in rigidity theory / G. Margulis
A glimpse into symplectic geometry / D. McDuff
Rational curves on algebraic varieties / S. Mori
The dawning of the age of stochasticity / D. Mumford
Mathematical physics of the 20$^{\textnormal{th}}$ and 21$^{\textnormal{st}}$ centuries / R. Penrose
Limitations to regularity / K. F. Roth
Conversations on mathematics with a visitor from outer space / D. Ruelle
Some problems in number theory, analysis and mathematical physics / P. Sarnak
Mathematical problems for the next century / S. Smale
Positivity problems and conjectures in algebraic combinatorics / R. P. Stanley
On the future of mathematics/physics interaction / C. Vafa
Twenty years of number theory / A. Wiles
Magic, mystery, and matrix / E. Witten
Review of geometry and analysis / S.-T. Yau
Polymathematics: Is mathematics a single science or a set of arts? / V. I. Arnold
Mathematics and computing / P. D. Lax
The theme of $p$-adic variation / B. Mazur
Number theory, transcendence and Diophantine geometry in the next millennium / A. Baker ; G. Wustholz
Harmonic analysis and combinatorics: How much may they contribute to each other? / J. Bourgain
Back to Riemann / S.-S. Chern
2.

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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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
3.

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
4.

図書

図書
edited by Vladimir I. Arnold
出版情報: Berlin ; Tokyo : Springer, c2004  xiv, 639 p. ; 24 cm
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5.

図書

図書
Vladimir I. Arnold ; translated by Roger Cooke
出版情報: Berlin ; Tokyo : Springer, c2004  x, 157 p. ; 24 cm
シリーズ名: Universitext
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Preface to the Second Russian Edition
The General Theory to one First-Order Equation / 1:
The General Theory to one First-Order Equation (Continued) / 2:
Huygens' Principle in the Theory of Wave Propagation / 3:
The Vibrating String (d'Alembert's Method) / 4:
The Fourier Method (for the Vibrating String) / 5:
The Theory of Oscillations / 6:
The Variational Principle
The Variational Principle (Continued) / 7:
Properties of Harmonic Functions / 8:
The Fundamental Solution for the Laplacian / 9:
Potentials
The Double Layer Potential / 10:
Spherical Functions / 11:
Maxwell's Theorem
The Removable Singularities Theorem
Boundary Value Problems for Laplace's Equation / 12:
Theory of Linear Equations and Systems
The Topological Content of Maxwell's Theorem on the Multifield Representation of Spherical Functions / A:
Problems / B:
Preface to the Second Russian Edition
The General Theory to one First-Order Equation / 1:
The General Theory to one First-Order Equation (Continued) / 2:
6.

図書

図書
アーノルド, アベズ著 ; 吉田耕作訳
出版情報: 京都 : 吉岡書店, 1972.11  ix, 281p ; 22cm
シリーズ名: 数学叢書 ; 20
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7.

図書

図書
V.I. Arnold ; translated and edited by Richard A. Silverman
出版情報: Cambridge : MIT Press, c1973  viii, 280 p. ; 23 cm
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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:
8.

図書

図書
by V.I. Arnolʹd ... [et al.]
出版情報: Providence, R.I. : American Mathematical Society, c1987  v, 129 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 137
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Local measures corresponding to Euler products in number fields / A. A. Panchishkin
Effective invariant theory / E. B. Vinberg
The variety $A_n$ of $n$-dimensional Lie algebra structures / A. A. Kirillov ; Yu. A. Neretin
On representations of a group containing an infinite cyclic subgroup of finite Index / S. D. Berman ; K. Buzashi
The orbit method and representations of infinite-dimensional Lie groups
On Wiener regularity at a boundary point for a polyharmonic operator / V. G. Mazya ; T. Donchev
A modified Steklov function / Bl. Sendov
The Kontorovich-Lebedev integral transformation in a new class of functions / V. K. Tua ; S. B. Yakubovich
Hamiltonian families of rational curves / S. G. Gindikin
On a formula for differentiating a stochastic integral with respect to a parameter / I. I. Gikhman
Grassmannians and flags in supergeometry / Yu. I. Manin
Hydrodynamic modes for a Lorentz gas with a periodic configuration of scatterers / K. M. Efimov ; Ya. G. Sinai
Complexity of hierarchical networks of finite automata / M. I. Kanovich
On the evolution of a magnetic field under the action of transport and diffusion / V. I. Arnold
Local measures corresponding to Euler products in number fields / A. A. Panchishkin
Effective invariant theory / E. B. Vinberg
The variety $A_n$ of $n$-dimensional Lie algebra structures / A. A. Kirillov ; Yu. A. Neretin
9.

図書

図書
V.I. Arnold (ed.)
出版情報: Berlin ; Tokyo : Springer-Verlag, c1988  xiv, 291 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 3
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10.

図書

図書
par V. I. Arnold et A. Avez
出版情報: Paris : Gauthier-Villars, 1967  243 p. ; 25 cm
シリーズ名: Monographies internationales de mathématiques modernes ; 9
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