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20031020124300.0 |
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000428s2001 riu b 001 0 eng |
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|a 00033139
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|a 0821820567 (alk. paper)
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|a 33139
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|a DLC
|c DLC
|d DLC
|d OCoLC
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|a eng
|h ger
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| 050 |
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|a QA649
|b .B47 2001
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| 082 |
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|a 516.3/6
|2 21
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| 100 |
1 |
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|a Berndt, Rolf.
|0 http://id.loc.gov/authorities/names/n86811161
|1 http://viaf.org/viaf/116035211
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| 240 |
1 |
0 |
|a Einführung in die symplektische Geometrie.
|l English
|
| 245 |
1 |
3 |
|a An introduction to sympletic geometry /
|c Rolf Berndt ; translated by Michael Klucznik.
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| 260 |
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|a Providence, R.I. :
|b American Mathematical Society,
|c c2001.
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| 300 |
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|a xvi, 195 p. ;
|c 26 cm.
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| 336 |
|
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
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| 337 |
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|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
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| 338 |
|
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
|
| 440 |
|
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|a Graduate studies in mathematics,
|x 1065-7339 ;
|v v. 26
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| 504 |
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|a Includes bibliographical references (p. 185-187) and index.
|
| 505 |
0 |
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|t Some Aspects of Theoretical Mechanics --
|t The Lagrange equations --
|t Hamilton's equations --
|t The Hamilton-Jacobi equation --
|t A symplectic interpretation --
|t Hamilton's equations via the Poisson bracket --
|t Towards quantization --
|g Ch. 1.
|t Sympletic Algebra --
|t Symplectic vector spaces --
|t Symplectic morphisms and symplectic groups --
|t Subspaces of symplectic vector spaces --
|t Complex structures of real symplectic spaces --
|g Ch. 2.
|t Symplectic Manifolds --
|t Symplectic manifolds and their morphisms --
|t Darboux's theorem --
|t The cotangent bundle --
|t Kahler manifolds --
|t Coadjoint oribits --
|t Complex projective space --
|t Symplectic invariants (a quick view) --
|g Ch. 3.
|t Hamiltonian Vector Fields and the Poisson Bracket --
|t Preliminaries --
|t Hamiltonian systems --
|t Poisson brackets --
|t Contact manifolds --
|g Ch. 4.
|t The Moment Map --
|t Definitions --
|t Constructions and examples --
|t Reduction of phase spaces by the consideration of symmetry --
|g Ch. 5.
|t Quantization --
|t Homogeneous quadratic polynomials and sl[subscript 2] --
|t Polynomials of degree 1 and the Heisenberg group --
|t Polynomials of degree 2 and the Jacobi group --
|t The Groenewold-van Hove theorem --
|t Towards the general case.
|g App. A.
|t Differentiable Manifolds and Vector Bundles --
|t Differentiable manifolds and their tangent spaces --
|t Vector bundles and their sections --
|t The tangent and the cotangent bundles --
|t Tensors and differential forms --
|t Connections.
|g App. B.
|t Lie Groups and Lie Algebras --
|t Lie algebras and vector fields --
|t Lie groups and invariant vector fields --
|t One-parameter subgroups and the exponent map.
|g App. C.
|t A Little Cohomology Theory --
|t Cohomology of groups --
|t Cohomology of Lie algebras --
|t Cohomology of manifolds.
|g App. D.
|t Representations of Groups --
|t Linear representations --
|t Continuous and unitary representations --
|t On the construction of representations.
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| 650 |
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0 |
|a Symplectic manifolds.
|0 http://id.loc.gov/authorities/subjects/sh85131553
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| 650 |
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0 |
|a Geometry, Differential.
|0 http://id.loc.gov/authorities/subjects/sh85054146
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| 650 |
|
7 |
|a Symplectic geometry.
|2 fast
|0 http://id.worldcat.org/fast/fst01140989
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| 901 |
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|a ToCBNA
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| 903 |
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|a HeVa
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| 035 |
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|a (OCoLC)44084035
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| 929 |
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|a cat
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| 999 |
f |
f |
|i b7fd164e-ffef-5cd0-ade2-d5466a81e63c
|s a5a8b4c6-c768-570e-90c4-a6c88b11781e
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| 928 |
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|t Library of Congress classification
|a QA649 .B47 2001
|l Eck
|c Eck-Eck
|i 4260095
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| 927 |
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|t Library of Congress classification
|a QA649 .B47 2001
|l Eck
|c Eck-Eck
|b 56555432
|i 6948478
|
