TY  - BOOK
AU  - Elworthy,K.D.
TI  - Stochastic differential equations on manifolds
T2  - London Mathematical Society lecture note series
SN  - 9781107325609 (ebook)
AV  - QA274.23 .E38 1982
U1  - 519.2 19
PY  - 1982///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Stochastic differential equations
KW  - Manifolds (Mathematics)
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - The aims of this book, originally published in 1982, are to give an understanding of the basic ideas concerning stochastic differential equations on manifolds and their solution flows, to examine the properties of Brownian motion on Riemannian manifolds when it is constructed using the stochiastic development and to indicate some of the uses of the theory. The author has included two appendices which summarise the manifold theory and differential geometry needed to follow the development; coordinate-free notation is used throughout. Moreover, the stochiastic integrals used are those which can be obtained from limits of the Riemann sums, thereby avoiding much of the technicalities of the general theory of processes and allowing the reader to get a quick grasp of the fundamental ideas of stochastic integration as they are needed for a variety of applications
UR  - https://doi.org/10.1017/CBO9781107325609
ER  -