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1.

図書

図書
Victor G. Kac
出版情報: Boston : Birkhäuser, 1983  xvi, 245 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 44
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2.

図書

図書
A. M. Gleason, R. E. Greenwood, L. M. Kelly
出版情報: [Washington, D.C.] : Mathematical Association of America, c1980  xi, 652 p. ; 25 cm
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3.

図書

図書
Michael Aschbacher, Don Blasius, Dinakar Ramakrishnan
出版情報: [s.l.] : International Press, c1988  357 p. ; 27 cm
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4.

図書

図書
L.S. Schulman
出版情報: New York : Wiley, c1981  xv, 359 p. ; 24 cm
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目次情報: 続きを見る
Partial table of contents
Probabilities and Probability Amplitudes for Paths
Correspondence Limit for the Path Integral (Heuristic)
Vector Potentials and Another Proof of the Path Integral Formula
Doing the Integral: Free Particle and Quadratic Lagrangians
Brownian Motion and the Wiener Integral; Kac2s Proof
Perturbation Theory and Feynman Diagrams
Selected Applications of the Path Integral
Asymptotic Analysis
The Calculus of Variations
WKB Near Caustics
The Phase of the Semiclassical Amplitude
Scattering Theory
Geometrical Optics
The Polaron
Spin and Related Matters
Quantum Mechanics on Curved Spaces
Relativistic Propagators and Black Holes
Applications to Statistical Mechanics
Critical Droplets
Alias Instantons, and Metastability
Phase Space Path Integral
Omissions, Miscellany, and Prejudices
Indexes
Partial table of contents
Probabilities and Probability Amplitudes for Paths
Correspondence Limit for the Path Integral (Heuristic)
5.

図書

図書
Israel Gohberg, Seymour Goldberg ; edited by I. Gohberg
出版情報: Boston ; Basel : Birkhäuser, 1981  xiii, 285 p. ; 24 cm
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目次情報: 続きを見る
Introduction
Hilbert Spaces / I:
Bounded Linear Operators on Hilbert Spaces / II:
Spectral Theory of Compact Self Adjoint Operators / III:
Spectral Theory of Integral Operators / IV:
Oscillations of an Elastic String / V:
Operational Calculus with Applications / VI:
Solving Linear Equations by Iterative Methods / VII:
Further Developments of the Spectral Theorem / VIII:
Banach Spaces / IX:
Linear Operators on a Banach Space / X:
Compact Operators on a Banach Space / XI:
Non-Linear Operators / XII:
Appendix 1. Countable Sets and Separable Hilbert Spaces
Appendix 2. Lebesgue Integration and LP Spaces
Appendix 3. Proof of the Hahn-Banach Theorem
Appendix 4. Proof of the Closed Graph Theorem
Suggested Reading
References
Index
Introduction
Hilbert Spaces / I:
Bounded Linear Operators on Hilbert Spaces / II:
6.

図書

図書
James R. Munkres
出版情報: Menlo Park, Calif. : Benjamin / Cummings, c1984  ix, 454 p. ; 24 cm
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7.

図書

図書
Donald R. Smith
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985  xvi, 500 p. ; 24 cm
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目次情報: 続きを見る
Preface
Acknowledgments
Preliminary results
Initial-Value Problems of Oscillatory Type / Part I:
Precession of the planet Mercury / 1:
Krylov/Bogoliubov averaging / 2:
The multiscale technique / 3:
Error estimates for perturbed-oscillation problems / 4:
Initial-Value Problems of Overdamped Type / Part II:
Linear overdamped initial-value problems / 5:
Nonlinear overdamped initial-value problems / 6:
Conditionally stable problems / 7:
Boundary-Value Problems / Part III:
Linear scalar problems / 8:
Linear first-order systems / 9:
Nonlinear problems / 10:
References
Name index
Subject index
Preface
Acknowledgments
Preliminary results
8.

図書

図書
edited by Itzhak Bars, Alan Chodos, and Chia-Hsiung Tze
出版情報: New York : Plenum Press, c1984  viii, 311 p. ; 26 cm
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9.

図書

図書
edited by Bruce A. Magurn
出版情報: Providence, R.I. : American Mathematical Society, 1985  viii, 811 p. ; 25 cm
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10.

図書

図書
F.A. Szász
出版情報: Chichester ; New York : J. Wiley, c1981  287 p. ; 25 cm
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