| 000 | 02605nam a22003858i 4500 | ||
|---|---|---|---|
| 001 | CR9781139136990 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160234.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 110815s2013||||enk o ||1 0|eng|d | ||
| 020 | _a9781139136990 (ebook) | ||
| 020 | _z9781107022713 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA641 _b.S55 2013 |
| 082 | 0 | 0 |
_a516.3/6 _223 |
| 100 | 1 |
_aŚniatycki, Jędrzej, _eauthor. |
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| 245 | 1 | 0 |
_aDifferential geometry of singular spaces and reduction of symmetry / _cJ. Śniatycki, Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada. |
| 246 | 3 | _aDifferential Geometry of Singular Spaces & Reduction of Symmetry | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2013. |
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| 300 |
_a1 online resource (xii, 235 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aNew mathematical monographs ; _v23 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aPreface -- 1. Introduction -- Part I. Differential Geometry of Singular Spaces: 2. Differential structures; 3. Derivations; 4. Stratified spaces; 5. Differential forms -- Part II. Reduction of Symmetries: 6. Symplectic reduction; 7. Commutation of quantization and reduction; 8. Further examples of reduction. | |
| 520 | _aIn this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces. Part II presents an effective approach to the reduction of symmetries. Concrete applications covered in the text include reduction of symmetries of Hamiltonian systems, non-holonomically constrained systems, Dirac structures, and the commutation of quantization with reduction for a proper action of the symmetry group. With each application the author provides an introduction to the field in which relevant problems occur. This book will appeal to researchers and graduate students in mathematics and engineering. | ||
| 650 | 0 | _aGeometry, Differential. | |
| 650 | 0 | _aFunction spaces. | |
| 650 | 0 | _aSymmetry (Mathematics) | |
| 776 | 0 | 8 |
_iPrint version: _z9781107022713 |
| 830 | 0 |
_aNew mathematical monographs ; _v23. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781139136990 |
| 999 |
_c517857 _d517855 |
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