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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aDifferential geometry of singular spaces and reduction of symmetry /$fJ. S?niatycki, Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2013.
215   $a1 online resource (xii, 235 pages) $cdigital, PDF file(s)
225 1 $aNew mathematical monographs ;$v23
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a1-107-02271-1 
311   $a1-299-70660-6 
320   $aIncludes bibliographical references and index.
327   $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.
330   $aIn this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces. Part II presents an effective approach to the reduction of symmetries. Concrete applications covered in the text include reduction of symmetries of Hamiltonian systems, non-holonomically constrained systems, Dirac structures, and the commutation of quantization with reduction for a proper action of the symmetry group. With each application the author provides an introduction to the field in which relevant problems occur. This book will appeal to researchers and graduate students in mathematics and engineering.
410  0$aNew mathematical monographs ;$v23.
517 3 $aDifferential Geometry of Singular Spaces & Reduction of Symmetry
606   $aGeometry, Differential
606   $aFunction spaces
606   $aSymmetry (Mathematics)
615  0$aGeometry, Differential.
615  0$aFunction spaces.
615  0$aSymmetry (Mathematics)
676   $a516.3/6
700   $aS?niatycki$b Je?drzej$040466
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910452484303321
996   $aDifferential geometry of singular spaces and reduction of symmetry$92467949
997   $aUNINA