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Springer Monographs in Mathematics

Classical Potential Theory

Authors: Armitage, David H., Gardiner, Stephen J.

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About this book

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 (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-1-4471-0233-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-1-85233-618-9
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-1-4471-1116-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Classical Potential Theory
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2001
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-0233-5
DOI
10.1007/978-1-4471-0233-5
Hardcover ISBN
978-1-85233-618-9
Softcover ISBN
978-1-4471-1116-0
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XVI, 333
Topics

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