rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Classical Potential Theory
  name:
    name part: Armitage, David H.
    role:
      role term: creator
  name:
    name part: Gardiner, Stephen J.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: enk
    date issued: 2001
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xvi, 333 pages).
  abstract: From its origins in Newtonian physics, potential theory has developed into a major field of mathematical research. This book provides a comprehensive treatment of classical potential theory: it 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, 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.
  table of contents: Notation and Terminology -- 1. Harmonic Functions -- 2. Harmonic Polynomials -- 3. Subharmonic Functions -- 4. Potentials -- 5. Polar Sets and Capacity -- 6. The Dirichlet Problem -- 7. The Fine Topology -- 8. The Martin Boundary -- 9. Boundary Limits -- Appendix -- Historical Notes -- References -- Symbol Index -- Index.
  note: by David H. Armitage, Stephen J. Gardiner.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Potential theory (Mathematics)
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Mathematics
  subject:
    topic: Potential theory (Mathematics)
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer monographs in mathematics
  identifier: 9781447102335 (electronic bk.)
  identifier: 1447102339 (electronic bk.)
  identifier: 9781447111160
  identifier: 1447111168
  identifier: 1447102339
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 121227
    record change date: 20260423141201.7
    record identifier: in00003519795
    language of cataloging:
      language term: eng