Geometric flows have many applications in physics and geometry. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds.
These include mechanics (inertia tensor, stress tensor, elasticity tensor), electrodynamics (electrical conductivity and resistivity tensors, electromagnetic tensor, magnetic susceptibility tensor), and general relativity (stress-energy tensor, curvature tensor).
Elementary particle physics is the quadrant of nature whose laws can be written in a few lines with absolute precision and the greatest empirical adequacy. Thus these lectures aim at introducing students and interested readers to the entire subject in a compact way.
This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica (R) computer algebra package. The first... Læs mere
The growing need to efficiently obtain precise and tailored digital representations of complex objects and phenomena requires the maturation of available tools in Sampling Theory as well as the development of complementary, novel mathematical theories.
Its origins lie in two apparently distinct areas of mathematical analysis: the theory of operator ideals going back to von Neumann and Schatten and the... Læs mere
Mainly addressed to researchers in the fields of generalized measure theory, nonlinear integrals, nonlinear functional analysis, and nonlinear approximation theory, this book is based mainly on the authors’ results.