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1.

図書

図書
渡辺昇著
出版情報: 東京 : 朝倉書店, 1984.4  xix, 439p ; 27cm
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2.

図書

図書
佐藤正千代, 新濃清志共著
出版情報: 東京 : 培風館, 1984.9  6, 301p ; 22cm
シリーズ名: 現代数学レクチャーズ / 赤攝也監修 ; C-4
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3.

図書

図書
Esa Nummelin
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1984  xi, 156 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 83
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目次情報: 続きを見る
Preface
Preliminaries / 1:
Irreducible kernels / 2:
Transience and recurrence / 3:
Embedded renewal processes / 4:
Positive and null recurrence / 5:
Total variation limit theorems / 6:
Miscellaneous limit theorems for Harris recurrent Markov chains / 7:
Notes and comments
List of symbols and notation
Bibliography
Index
Preface
Preliminaries / 1:
Irreducible kernels / 2:
4.

図書

図書
D.H. Fremlin
出版情報: Cambridge ; New York : Cambridge University Press, 1984  xii, 325 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 84
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The Three Cardinals / 1:
When p > w1 / 2:
When mk > w1 / 3:
When m > w1. / 4:
The Three Cardinals / 1:
When p > w1 / 2:
When mk > w1 / 3:
5.

図書

図書
Kurt Strebel
出版情報: Berlin ; Tokyo : Springer, 1984  xii, 184 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge ; Bd. 5
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6.

図書

図書
Georges de Rham ; translated from the French by F.R. Smith ; introduction to the English edition by S.S. Chern
出版情報: Berlin ; New York : Springer-Verlag, 1984  x, 166 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 266
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7.

図書

図書
P.E. Conner & R. Perlis
出版情報: Singapore : World Scientific, c1984  ix, 316 p. ; 24 cm
シリーズ名: Series in pure mathematics ; v. 2
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8.

図書

図書
Hans Grauert, Reinhold Remmert
出版情報: Berlin ; Tokyo : Springer-Verlag, 1984  xviii, 249 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 265
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9.

図書

図書
edited by Frederick van der Ploeg
出版情報: Chichester ; New York : Wiley, c1984  xix, 580 p. ; 24 cm
シリーズ名: Handbook of applicable mathematics / chief editor, Walter Ledermann ; Guidebook ; 6
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10.

図書

図書
Victor Guillemin, Shlomo Sternberg
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1984  xi, 468 p. ; 24 cm
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目次情報: 続きを見る
Preface
Introduction / I:
Gaussian optics / 1:
Hamilton's method in Gaussian optics / 2:
Fermat's principle / 3:
From Gaussian optics to linear optics / 4:
Geometrical optics, Hamilton's method, and the theory of geometrical aberrations / 5:
Fermat's principle and Hamilton's principle / 6:
Interference and diffraction / 7:
Gaussian integrals / 8:
Examples in Fresnel optics / 9:
The phase factor / 10:
Fresnel's formula / 11:
Fresnel optics and quantum mechanics / 12:
Holography / 13:
Poisson brackets / 14:
The Heisenberg group and representation / 15:
The Groenwald-van Hove theorem / 16:
Other quantizations / 17:
Polarization of light / 18:
The coadjoint orbit of a semidirect product / 19:
Electromagnetism and the determination of symplectic structures / 20:
Epilogue: Why symplectic geometry?
The geometry of the moment map / II:
Normal forms / 21:
The Darboux-Weinstein theorem / 22:
Kaehler manifolds / 23:
Left-invariant forms and Lie algebra cohomology / 24:
Symplectic group actions / 25:
The moment map and some of its properties / 26:
Group actions and foliations / 27:
Collective motion / 28:
Cotangent bundles and the moment map for semidirect products / 29:
More Euler-Poisson equations / 30:
The choice of a collective Hamiltonian / 31:
Convexity properties of toral group actions / 32:
The lemma of stationary phase / 33:
Geometric quantization / 34:
Motion in a Yang-Mills field and the principle of general covariance / III:
The equations of motion of a classical particle in a Yang-Mills field / 35:
Curvature / 36:
The energy-momentum tensor and the current / 37:
The principle of general covariance / 38:
Isotropic and coisotropic embeddings / 39:
Symplectic induction / 40:
Symplectic slices and moment reconstruction / 41:
An alternative approach to the equations of motion / 42:
The moment map and kinetic theory / 43:
Complete integrability / IV:
Fibrations by tori / 44:
Collective complete integrability / 45:
Collective action variables / 46:
The Kostant-Symes lemma and some of its variants / 47:
Systems of Calogero type / 48:
Solitons and coadjoint structures / 49:
The algebra of formal pseudodifferential operators / 50:
The higher-order calculus of variations in one variable / 51:
Contractions of symplectic homogeneous spaces / V:
The Whitehead lemmas / 52:
The Hochschild-Serre spectral sequence / 53:
Galilean and Poincare elementary particles / 54:
Coppersmith's theory / 55:
References
Index
Preface
Introduction / I:
Gaussian optics / 1:
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