Classical Potential Theory (Relié)

Stephen-J Gardiner, David-H Armitage

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  • Springer

  • Paru le : 14/11/2000
  • 1 million de livres à découvrir
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From its origins in Newtonian physics, potential theory has developed into a major field of mathematical research, closely connected with several other areas of real and complex analysis. This book provides a comprehensive treatment of classical potential theory - an understanding of which is essential for work in many related areas. Classical Potential Theory covers harmonic and subharmonic functions, maximum principles, polynomial expansions, Green functions, potentials and capacity, the Dirichlet problem and boundary integral representations. The first six chapters deal concretely with the basic theory, and include exercises. The final three chapters are more advanced and treat topological ideas specifically created for potential theory, such as the fine topology, the Martin boundary and minimal thinness. The presentation is largely self-contained and is accessible to graduate students, with the only prerequisites being a reasonable grounding in analysis and several variables calculus, and a first course in measure theory. The book will prove an essential reference to all those with an interest in potential theory and its applications.
    • Harmonic Functions
    • Harmonic Polynomials
    • Subharmonic Functions
    • Potentials
    • Polar Sets and Capacity
    • The Dirichlet Problem
    • The Fine Topology
    • The Martin Boundary
    • Boundary Limits.
  • Date de parution : 14/11/2000
  • Editeur : Springer
  • Collection : monographs in mathematics
  • ISBN : 1-85233-618-8
  • EAN : 9781852336189
  • Présentation : Relié
  • Nb. de pages : 333 pages
  • Poids : 0.65 Kg
  • Dimensions : 16,0 cm × 23,9 cm × 2,7 cm
David Armitage is Professor in the Department of Pure Mathematics at Queens University Belfast, and Stephen Gardiner is Associate Professor of Mathematics at University College Dublin.

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Classical Potential Theory
156,10 €
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