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1.

図書

図書
by W. J. Gibbs
出版情報: London : Chapman & Hall, 1958  viii, 219 p. ; 22 cm
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2.

図書

図書
by Julian Lowell Coolidge
出版情報: Oxford : Clarendon Press, 1916  602 p. ; 23 cm
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3.

図書

図書
Michael E. Mortenson
出版情報: New York : Industrial Press, 1995  xix, 357 p. ; 26 cm
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4.

図書

図書
A.M. Mathai
出版情報: Singapore ; New Jersey : World Scientific, c1997  xii, 435 p. ; 23 cm
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5.

図書

図書
von Otakar Borůvka
出版情報: Berlin : Deutscher Verlag der Wissenschaften, 1967  xiv, 218 p. ; 24 cm
シリーズ名: Hochschulbücher für Mathematik ; Bd. 67
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6.

図書

図書
Arthur G. Hansen
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1964  xiv, 114 p. ; 24 cm
シリーズ名: Prentice-Hall series in engineering of the physical sciences
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7.

図書

図書
P.S. Modenov and A.S. Parkhomenko ; translated and adapted from the 1st Russian ed. by Michael B.P. Slater
出版情報: New York : Published in cooperation with the Survey of Recent East European Mathematical Literature [by] Academic Press, c1965  x, 160 p. ; 21 cm
シリーズ名: Academic paperbacks ; . Geometric transformations ; v. 1
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8.

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:
9.

図書

図書
translated [from the German] by F. M. Arscott
出版情報: London : English Universities Press, 1971  xvi, 254 p ; 24 cm
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10.

図書

図書
R. P. Burn
出版情報: Cambridge [Eng.] ; New York : Cambridge University Press, 1975  xi, 121 p. ; 24 cm
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