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1.

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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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:
2.

図書

図書
Morris W. Hirsch and Stephen Smale
出版情報: New York : Academic Press, c1974  xi, 358 p. ; 23 cm
シリーズ名: Pure and applied mathematics ; v. 60
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目次情報: 続きを見る
Preface
First Examples
Newton's Equation and Kepler's Law
Linear Systems with Constant Coeffecients and Real Eigenvalues
Linear Systems with Constant Coefficients and Complex Eigenvalues
Linear Systems and Exponentials of Operators
Linear Systems and Canonical Forms of Operators
Contractions and Generic Properties of Operators
Fundamental Theory
Stability of Equilibria
Differential Equations for Electrical Circuits
The Poincare-Bendixson Theorem
Ecology
Periodic Attractors
Classical Mechanics
Nonautonomous Equations and Differentiability of Flows
Perturbation Theory and Structural Stability
Elementary Facts
Polynomials
On Canonical Forms
The Inverse Function Theorem
References
Answers to Selected Problems
Index
Preface
First Examples
Newton's Equation and Kepler's Law
3.

図書

図書
Anatole Beck ; with the assistance of Jonathan and Mirit Lewin
出版情報: New York ; Berlin : Springer, 1974  x, 462 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 201
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4.

図書

図書
Bernard Dwork
出版情報: New York ; Berlin : Springer-Verlag, c1982  viii, 310 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 253
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5.

図書

図書
Richard Bellman
出版情報: New York : McGraw-Hill, 1953  xiii, 166 p. ; 23 cm
シリーズ名: International series in pure and applied mathematics
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6.

図書

図書
Jane Cronin
出版情報: New York : M. Dekker, c1994  xi, 370 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 180
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7.

図書

図書
G.E. Ladas and V. Lakshmikantham
出版情報: New York : Academic Press, 1972  xi, 218 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 85
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8.

図書

図書
William T. Reid
出版情報: New York : Academic Press, 1972  x, 216 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 86
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9.

図書

図書
[by] J. Warga
出版情報: New York : Academic Press, 1972  xiii, 531 p. ; 24 cm
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10.

図書

図書
by E.C. Titchmarsh
出版情報: Oxford : Clarendon Press, 1946-1958  2 v. ; 25 cm
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11.

図書

図書
Josip Plemelj : edited and translated by J.R.M. Radok
出版情報: New York : Interscience Publishers, c1964  vii, 175 p. ; 23 cm
シリーズ名: Interscience tracts in pure and applied mathematics ; no. 16
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12.

図書

図書
Zalman Rubinstein
出版情報: New York : Academic Press, c1969  x, 477 p. ; 23 cm
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13.

図書

図書
Jack K. Hale, Hüseyin Koçak
出版情報: New York ; Tokyo : Springer-Verlag, c1991  xiv, 568 p. ; 25 cm
シリーズ名: Texts in applied mathematics ; 3
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目次情報: 続きを見る
Dimension One / Part I:
Scalar Autonomous Equations / Chapter 1:
Elementary Bifurcations / Chapter 2:
Scalar Maps / Chapter 3:
Dimension One and One Half / Part II:
Scalar Nonautonomous Equations / Chapter 4:
Bifurcation of Periodic Equations / Chapter 5:
On Tori and Circles / Chapter 6:
Dimension Two / Part III:
Planar Autonomous Systems / Chapter 7:
Linear Systems / Chapter 8:
Near Equilibria / Chapter 9:
In the Presence of a Zero Eigenvalue / Chapter 10:
In the Presence of Purely Imaginary Eigenvalues / Chapter 11:
Periodic Orbits / Chapter 12:
All Planar Things Considered / Chapter 13:
Conservative and Gradient Systems / Chapter 14:
Planar Maps / Chapter 15:
Higher Dimensions / Part IV:
Dimension Two and One Half / Chapter 16:
Dimension Three / Chapter 17:
Dimension Four / Chapter 18:
Farewell
A Catalogue of Fundamental Theorems / Appendix:
References
Index
Dimension One / Part I:
Scalar Autonomous Equations / Chapter 1:
Elementary Bifurcations / Chapter 2:
14.

図書

図書
[by] Richard E. Williamson [and] Hale F. Trotter
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, [1974]  ix, 630 p. ; 25 cm
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目次情報:
04104-08 Trade Math One (20 Hours)
Builds on trainees' basic math skills to solve trade-reproblems
Covers calculations using denomiand volume calculations, English-metric system conversbasic geometry, and calculation of stretchouts
04104-08 Trade Math One (20 Hours)
Builds on trainees' basic math skills to solve trade-reproblems
Covers calculations using denomiand volume calculations, English-metric system conversbasic geometry, and calculation of stretchouts
15.

図書

図書
Philip Hartman
出版情報: New York : J. Wiley, c1964  xiv, 612 p. ; 24 cm
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16.

図書

図書
by E.R. Lapwood
出版情報: Oxford ; New York : Pergamon Press, c1968  xi, 207 p. ; 24 cm
シリーズ名: The International encyclopedia of physical chemistry and chemical physics ; topic 1 . Mathematical techniques / editor, H. Jones ; v. 1
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17.

図書

図書
Wolfgang Walter ; translated by Lisa Rosenblatt and Lawrence Shampine
出版情報: Berlin ; New York : Springer-Verlag, 1970  x, 352 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 55
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18.

図書

図書
[by] Richard C. MacCamy, Victor J. Mizel
出版情報: London,[New York] : Macmillan, c1969  xiii, 561 p ; 24 cm
シリーズ名: Textbooks in applied mathematics
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19.

図書

図書
by Earl A. Coddington
出版情報: Tokyo : Maruzen, 1963  xi, 292 p. ; 21 cm
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20.

図書

図書
Hurewicz, Witold, 1904-1956
出版情報: New York : Technology Press of the Massachusetts Institute of Technology and Wiley, c1958  xvii, 122 p. ; 24 cm
シリーズ名: Technology Press books in science and engineering
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21.

図書

図書
by Wilfred Kaplan
出版情報: Reading, Mass. : Addison-Wesley, 1960, c1958  xv, 534 p. ; 23 cm
シリーズ名: Addison-Wesley series in the engineering sciences ; . Electical and Control Systems
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22.

図書

図書
by Francis J. Murray and Kenneth S. Miller
出版情報: New York : Univ. Press, 1954  x, 154 p. ; 23 cm
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23.

図書

図書
V.I. Arnolʹd ...[et al.]
出版情報: Providence, R.I. : American Mathematical Society, 1969  iv, 269 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 79
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24.

図書

図書
par J.L. Lions
出版情報: Berlin : Springer, 1961  ix, 292 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 111
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25.

図書

図書
N.P. Bhatia, G.P. Szegö
出版情報: Berlin : Springer, 1970  xi, 225 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 161
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26.

図書

図書
Einar Hille
出版情報: New York : Wiley, c1976  xi, 484 p. ; 23 cm
シリーズ名: Pure and applied mathematics
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27.

図書

図書
P.L. Sachdev
出版情報: New York : M. Dekker, c1991  xviii, 578 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 142
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28.

図書

図書
Robert H. Martin, Jr
出版情報: New York : Wiley, c1976  xi, 440 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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29.

図書

図書
von Ludwig Bieberbach
出版情報: Berlin : Springer-Verlag, 1965  xi, 389 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 66
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30.

図書

図書
[by] A. Halanay
出版情報: New York : Academic Press, 1966  xii, 528 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 23
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31.

図書

図書
T.T. Soong
出版情報: New York : Academic Press, 1973  xiii, 327 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 103
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32.

図書

図書
F.V. Atkinson
出版情報: New York : Academic Press, c1972  xi, 209 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 82-1 . Multiparameter eigenvalue problems / [by] F.V. Atkinson ; v. 1
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33.

図書

図書
Earl A. Coddington, Norman Levinson
出版情報: New York : McGraw-Hill, 1955  xii, 429 p. ; 24 cm
シリーズ名: International series in pure and applied mathematics
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