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                      Harmonic Function Theory

                           second edition

             Sheldon Axler, Paul Bourdon, and Wade Ramey

[HFTcover] The second edition of this book about harmonic functions
in Euclidean space was published in 2001 by Springer in its Graduate
Texts in Mathematics series. Readers with a background in real and
complex analysis at the beginning graduate level will feel
comfortable with the material presented here. The authors took
unusual care to motivate concepts and simplify proofs.
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The electronic version of his book is available without charge by
clicking on the link below:

  * Harmonic Function Theory (second edition) pdf file

Printing has been disabled from within this pdf file, so although you
can view the entire book, you will not be able to print it.
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The ISBN for the print version of this book is 978-0-387-95218-5.

  * Order the book from Springer.

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Harmonic Function Theory and Mathematica

For readers who wish to explore harmonic function theory on a
computer, the Mathematica package available at the link below allows
users to manipulate many of the expressions that arise in harmonic
function theory. This software, which uses many results from this
book, can perform symbolic calculations that would take a prohibitive
amount of time if done without a computer. For example, the Poisson
integral of any polynomial can be computed exactly.

This Mathematica package and its documentation are available
electronically without charge by clicking below. This Mathematica
package will work on any computer that runs Mathematica. It can be
used with or without the book Harmonic Function Theory, just as the
book can be used with or without the software.

  * HarmonicFunctionTheory Mathematica package and documentation

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  * Sheldon Axler's publications

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  * Sheldon Axler's home page

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