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This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: basic properties of harmonic functions, Poisson integrals, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, harmonic Bergman spaces, the decomposition theorem, Laurent expansions, isolated singularities, and the Dirichlet problem. The new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bocher¿s Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package-designed by the authors and available by email-supplements the text for readers who wish to explore harmonic function theory on a computer.
In post communist Russia, there are no rules... For those in pursuit of wealth and power, there are no limits to what they'll do to obtain it. Even the unthinkable. Emerging technology has collided with Dark Age mentality in the vortex of a perfect storm. The paradigm has changed. At the highest levels, criminal minds have become emboldened to use the mask of terrorism to go where the sinister mind has never before dared.
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