by SheldonAxler (Author), PaulBourdon (Author), RameyWade (Author)
This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
Format: Hardcover
Pages: 275
Edition: 2nd ed.
Publisher: Springer
Published: 01 Feb 2001
ISBN 10: 0387952187
ISBN 13: 9780387952185
Book Overview: 2nd edition
From the reviews of the second edition:
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)
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 Moricz, Acta Scientiarum Mathematicarum, Vol. 67, 2001)
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)