Author: Björn GustafssonPublisher:
ISBN:
Category :
Languages : en
Pages : 30
Book Description
An Approximation Theorem for Integrable Harmonic Vector Fields
Author: Björn GustafssonVector Field Approximation on Regular Surfaces
Author: Anna LutherPublisher: VDM Publishing
ISBN: 9783836496674
Category : Mathematics
Languages : de
Pages : 156
Book Description
Mathematica Scandinavica
Author: Harmonic Function Theory
Author: Sheldon AxlerPublisher: Springer Science & Business Media
ISBN: 1475781377
Category : Mathematics
Languages : en
Pages : 266
Book Description
This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
Harmonic Approximation
Author: Stephen J. GardinerPublisher: Cambridge University Press
ISBN: 052149799X
Category : Mathematics
Languages : en
Pages : 150
Book Description
The first book to provide a systematic account of recent developments and applications in harmonic approximation, progresses from classical results concerning uniform approximation on compact sets through fusion techniques to deal with approximation on unbounded sets.
An Introduction To The Geometrical Analysis Of Vector Fields: With Applications To Maximum Principles And Lie Groups
Author: Stefano BiagiPublisher: World Scientific
ISBN: 9813276630
Category : Mathematics
Languages : en
Pages : 450
Book Description
This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings:
Zapiski nauchnykh seminarov POMI
Author: Twelve Papers on Approximations and Integrals
Author: Publisher: American Mathematical Soc.
ISBN: 9780821896228
Category : Approximation theory
Languages : en
Pages : 276
Book Description
Houston Journal of Mathematics
Author: Geometric Dynamics
Author: C. UdristePublisher: Springer Science & Business Media
ISBN: 9401141878
Category : Mathematics
Languages : en
Pages : 406
Book Description
Geometric dynamics is a tool for developing a mathematical representation of real world phenomena, based on the notion of a field line described in two ways: -as the solution of any Cauchy problem associated to a first-order autonomous differential system; -as the solution of a certain Cauchy problem associated to a second-order conservative prolongation of the initial system. The basic novelty of our book is the discovery that a field line is a geodesic of a suitable geometrical structure on a given space (Lorentz-Udri~te world-force law). In other words, we create a wider class of Riemann-Jacobi, Riemann-Jacobi-Lagrange, or Finsler-Jacobi manifolds, ensuring that all trajectories of a given vector field are geodesics. This is our contribution to an old open problem studied by H. Poincare, S. Sasaki and others. From the kinematic viewpoint of corpuscular intuition, a field line shows the trajectory followed by a particle at a point of the definition domain of a vector field, if the particle is sensitive to the related type of field. Therefore, field lines appear in a natural way in problems of theoretical mechanics, fluid mechanics, physics, thermodynamics, biology, chemistry, etc.