Kniha Classical Potential Theory David H. Armitage

Classical Potential Theory

Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer London Ltd
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
2 286
From its origins in Newtonian physics, potential theory has developed into a major field of mathemat...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2000
Stránek
333
EAN
9781852336189
ISBN
1852336188
Enbook ID
01435292
Hmotnost
670
Rozměry
164 x 241 x 26

Kompletní popis

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.

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