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