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.

A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.

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


Book Information
ISBN 9781107022713
Author J. Sniatycki
Format Hardback
Page Count 247
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 480g
Dimensions(mm) 234mm * 157mm * 17mm