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Complex analysis --- 514.152 --- Conformal geometry and its analogues. Laguerre geometry. Lie geometry --- Quasiconformal mappings. --- 514.152 Conformal geometry and its analogues. Laguerre geometry. Lie geometry

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This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership consists of mathematicians from beginning graduate students to researchers. The prerequisite requirements are modest: only some familiarity with basic ideas of real and complex analysis is expected.

Potential theory (Mathematics). --- Differential geometry. --- Potential Theory. --- Differential Geometry. --- Differential geometry --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- Quasiconformal mappings. --- Mappings, Quasiconformal --- Conformal mapping --- Functions of complex variables --- Geometric function theory --- Mappings (Mathematics)

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Differential geometry. Global analysis --- Mathematics --- differentiaal geometrie --- wiskunde