Geometric Function Theory and Non-linear Analysis 1st Edition by Tadeusz Iwaniec | (PDF) Free Download

Description

A survey of recent developments in the field of non-linear analysis and the geometry of mappings. Sobolev mappings, quasiconformal mappings, or deformations, between subsets of Euclidean space, or manifolds or more general geometric objects may arise as the solutions to certain optimization problems in the calculus of variations or in non-linear elasticity, as the solutions to differential equations (particularly in conformal geometry), as local co-ordinates on a manifold or as geometric realizations of abstract isomorphisms between spaces such as those that arise in dynamical systems (for instance in holomorphic dynamics and Kleinian groups). In each case the regularity and geometric properties of these mappings and related non-linear quantities such as Jacobians, tells something about the problems and the spaces under consideration.

User’s Reviews

Editorial Reviews: Review “Every reader interested in the modern viewpoint of geometric function theory will find a wide range of appealing topics in this book. It is particularly useful to see how some highly sohisticated machinery of real and harmonic analysis is developed and employed. This book will become a standard reference for the field.”–Mathematical Reviews About the Author Tadeusz Iwaniec is a John Raymond French Distinguished Professor of Mathematics at Syracuse University. Gaven John Martin is a Professor of Mathematics and James Cook Fellow of Royal Society, New Zealand.

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