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.
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151 primary booksGraduate Texts in Mathematics is a 151-book series with 151 primary works first released in 1899 with contributions by G. Takeuti, W M Zaring, and 166 others.