Übersicht			Auf mobile öffnen

Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	Oktober 2000
Genre:	Schulbücher
	Analysis / Analysis (Mathematics) / B / Calculus & mathematical analysis / Functions of a Complex Variable / Functions of complex variables / Mathematical analysis / Mathematics and Statistics / Potential Theory / Potential theory (Mathematics) / Stochastics
ISBN:	9781852336189
EAN-Code:	9781852336189
Verlag:	Springer Nature EN
Einband:	Gebunden
Sprache:	English
Dimensionen:	H 235 mm / B 155 mm / D 24 mm
Gewicht:	1490 gr
Seiten:	333
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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.