Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds (Solid Mechanics and Its Applications) by Uwe Mühlich English | 2 May 2017 | ISBN: 3319562630 | 140 Pages | PDF | 3.05 MB
Covariant Schrödinger Semigroups on Riemannian Manifolds By Batu Güneysu English | PDF | 2017 | 246 Pages | ISBN : 3319689029 | 2.46 MB
This monograph discusses covariant Schrödinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a gap in the literature, given the fact that the existing literature on Schrödinger operators has mainly focused on scalar Schrödinger operators on Euclidean spaces so far. In particular, the book studies operators that act on sections of vector bundles. In addition, these operators are allowed to have unbounded potential terms, possibly with strong local singularities.
Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations: Stochastic Manifolds for Nonlinear SPDEs II by Mickaël D. Chekroun English | 14 Jan. 2015 | ISBN: 3319125192 | 141 Pages | PDF | 4 MB
In this second volume, a general approach is developed to provide approximate parameterizations of the "small" scales by the "large" ones for a broad class of stochastic partial differential equations (SPDEs).