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Differential Geometry of Singular Spaces and Reduction of Symmetry

J. Sniatycki (University of Calgary)

$179.95

Hardback

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Cambridge University Press
13 June 2013
In 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.
By:   J. Sniatycki (University of Calgary)
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   23
Dimensions:   Height: 234mm,  Width: 157mm,  Spine: 17mm
Weight:   480g
ISBN:   9781107022713
ISBN 10:   1107022711
Series:   New Mathematical Monographs
Pages:   247
Publication Date:   13 June 2013
Audience:   Professional and scholarly ,  Professional and scholarly ,  Undergraduate ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Preface; 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; References; Index.

J. Sniatycki is a professor in the Department of Mathematics at the University of Calgary.

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