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1.

図書

図書
édité par Roger Balian, Roger Maynard, Gerard Toulouse
出版情報: Amsterdam : North-Holland, 1979  xxv, 607 p. ; 23 cm
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2.

図書

図書
C.T.C. Wall
出版情報: London ; New York : Academic Press, 1970  x, 280 p. ; 23 cm
シリーズ名: L.M.S. monographs ; 1
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3.

図書

図書
P.M. Anderson, A.A. Fouad
出版情報: Ames : Iowa State University Press, 1977  xi, 464 p. ; 26 cm
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4.

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:
5.

図書

図書
Robert C. Gunning, general editor
出版情報: Princeton, N.J. : Princeton University Press, 1970  x, 351 p. ; 24 cm
シリーズ名: Princeton mathematical series ; 31
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6.

図書

図書
William J. Abernathy
出版情報: Baltimore : Johns Hopkins University Press, c1978  xii, 267 p. ; 24 cm
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7.

図書

図書
Dragoslav D. Šiljak
出版情報: New York : North-Holland, c1978  xvi, 416 p. ; 24 cm
シリーズ名: North-Holland series in system science and engineering
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8.

図書

図書
Sterling K. Berberian
出版情報: New York ; Berlin ; Tokyo : Springer, c1974  ix, 345 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 15
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9.

図書

図書
by A.M. Stoneham
出版情報: Oxford : Clarendon Press, 1975  xix, 955 p. ; 22 cm
シリーズ名: Monographs on the physics and chemistry of materials
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目次情報: 続きを見る
The Perfect Solidpart / Part I:
Electronic Structure of Isolated Defectspart / II:
Calculation of Observable Properties of Defectspart / III:
Comparison of Theory and Experiment / IV:
Sum rules / Appendix I:
The factorization of secular equations / Appendix II:
The Perfect Solidpart / Part I:
Electronic Structure of Isolated Defectspart / II:
Calculation of Observable Properties of Defectspart / III:
10.

図書

図書
Renfrey B. Potts, Robert M. Oliver
出版情報: New York : Academic Press, 1972  xi, 192 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 90
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