Advanced textbook on central topic of pure mathematics.
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'A first-rate book, which can be used either as a text or a reference.' Choice
'In five very nicely written chapters this book gives an introduction to the approach to function theory via Riemannian geometry. Very little function-theoretic background is needed and no knowledge whatsoever of differential geometry is assumed.' Mathematical Reviews
Krantz develops material on classical non-Euclidean geometry and provides profound applications, some of which have never appeared in print before. The new edition represents a considerable polishing and re-thinking of the original successful volume. A minimum of geometric formalism is used to gain a maximum of geometric and analytic insight.
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