Sheldon Axler, Paul Bourdon, Ramey Wade

eBook, PDF

Harmonic Function Theory (eBook, PDF)

Beschreibung

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.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 21.36MB

Barrierefreiheit

• Text-to-Speech

Autor

Sheldon Axler is Dean of the College of Science & Engineering at San Francisco State University. He has authored many well-received books.

Produktdetails

• Verlag: Springer New York
• Seitenzahl: 264
• Erscheinungstermin: 11. November 2013
• Englisch
• ISBN-13: 9781475781373
• Artikelnr.: 44179891

Rezensionen

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 Móricz, 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)