{"product_id":"harmonic-function-theory-9780387952185","title":"Harmonic Function Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eBasic Properties of Harmonic Functions.- Bounded Harmonic Functions.- Positive Harmonic Functions.- The Kelvin Transform.- Harmonic Polynomials.- Harmonic Hardy Spaces.- Harmonic Functions on Half-Spaces.- Harmonic Bergman Spaces.- The Decomposition Theorem.- Annular Regions.- The Dirichlet Problem and Boundary Behavior.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews of the second edition:\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\"There are several major changes in this second edition … . Many exercises have been added and several photographs of mathematicians related to harmonic functions are included. The book is a nice introduction to the fundamental notions of potential theory.\" (European Mathematical Society Newsletter, June, 2002)\u003c\/p\u003e \u003cp\u003e\"We warmly recommend this textbook to graduate students interested in Harmonic Function Theory and\/or related areas. We are sure that the reader will be able to appreciate the lively and illuminating discussions in this book, and therefore, will certainly gain a better understanding of the subject.\" (Ferenc Móricz, Acta Scientiarum Mathematicarum, Vol. 67, 2001)\u003c\/p\u003e \u003cp\u003e\"This is a new edition of a nice textbook … on harmonic functions in Euclidean spaces, suitable for a beginning graduate level course. … New exercises are added and numerous minor improvements throughout the text are made.\" (Alexander Yu. Rashkovsky, Zentralblatt MATH, Vol. 959, 2001)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e* Basic Properties of Harmonic Functions * Bounded Harmonic Functions * Positive Harmonic Functions * The Kelvin Transform * Harmonic Polynomials * Harmonic Hardy Spaces * Harmonic Functions on Half-Spaces * Harmonic Bergman Spaces * The Decomposition Theorem * Annular Regions * The Dirichlet Problem and Boundary Behavior * Volume, Surface Area, and Integration on Spheres * Harmonic Function Theory and Mathematica * References * Symbol Index * Index","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":51767467049303,"sku":"9780387952185","price":71.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780387952185.jpg?v=1758713390","url":"https:\/\/bookcurl.com\/products\/harmonic-function-theory-9780387952185","provider":"Book Curl","version":"1.0","type":"link"}