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4.0 out of 5 stars A sophisticated and complete treatment of harmonic functions
The authors provide a good introduction to the many important theorems, and the proofs for these theorems, many of which are not found in standard textbooks on complex variables. I found it very helpful that the authors discussed and proved the Mean Value Principle at the very beginning to this book, on pp.4-7. Another very useful result, the Schwarz Reflection...
Published 2 months ago by Ulfilas

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1 of 6 people found the following review helpful
1.0 out of 5 stars harmonic functions done wrong
Too many lines of the "it's easily checked that ..." kind
detract from the value this might have had and
waste the reader's time.
It would be smarter to purchase either
the Schaums outlines (pde) or one of the
many Dover pde reprints.
Published on January 2, 2011 by reader


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4.0 out of 5 stars A sophisticated and complete treatment of harmonic functions, February 16, 2014
By 
Ulfilas (Washington, DC) - See all my reviews
The authors provide a good introduction to the many important theorems, and the proofs for these theorems, many of which are not found in standard textbooks on complex variables. I found it very helpful that the authors discussed and proved the Mean Value Principle at the very beginning to this book, on pp.4-7. Another very useful result, the Schwarz Reflection Principle, is stated and proved on pp.66-70. This book includes an index for special symbols and the page numbers on which they are defined. There is also an appendix that provides the formula for a volume of any dimension, as well the proof for this formula. This book is also very accessible, as it is available online in its entirety, as a pdf file.
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1 of 3 people found the following review helpful
5.0 out of 5 stars Excellent text, November 9, 2008
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We used this text in class for a topics course on Harmonic Analysis. The book is very well written and has a plethora of problems and examples to make sure the reader knows that he is on the right track. An excellent text.
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1 of 6 people found the following review helpful
1.0 out of 5 stars harmonic functions done wrong, January 2, 2011
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Too many lines of the "it's easily checked that ..." kind
detract from the value this might have had and
waste the reader's time.
It would be smarter to purchase either
the Schaums outlines (pde) or one of the
many Dover pde reprints.
Help other customers find the most helpful reviews 
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