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About this book

Quasiregular Mappings extend quasiconformal theory to the noninjective case.They give a natural and beautiful generalization of the geometric aspects ofthe theory of analytic functions of one complex variable to Euclidean n-space or, more generally, to Riemannian n-manifolds. This book is a self-contained exposition of the subject. A braod spectrum of results of both analytic and geometric character are presented, and the methods vary accordingly. The main tools are the variational integral method and the extremal length method, both of which are thoroughly developed here. Reshetnyak's basic theorem on discreteness and openness is used from the beginning, but the proof by means of variational integrals is postponed until near the end. Thus, the method of extremal length is being used at an early stage and leads, among other things, to geometric proofs of Picard-type theorems and a defect relation, which are some of the high points of the present book.

Table of contents (8 chapters)

  • Introduction

    Rickman, Seppo

    Pages 1-3

    Preview Buy Chapter 30,19 €
  • Basic Properties of Quasiregular Mappings

    Rickman, Seppo

    Pages 4-23

    Preview Buy Chapter 30,19 €
  • Inequalities for Moduli of Path Families

    Rickman, Seppo

    Pages 24-58

    Preview Buy Chapter 30,19 €
  • Applications of Modulus Inequalities

    Rickman, Seppo

    Pages 59-77

    Preview Buy Chapter 30,19 €
  • Mappings into the n-Sphere with Punctures

    Rickman, Seppo

    Pages 78-93

    Preview Buy Chapter 30,19 €

Buy this book

eBook 74,96 €
price for Spain (gross)
  • ISBN 978-3-642-78201-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 93,59 €
price for Spain (gross)
  • ISBN 978-3-642-78203-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Quasiregular Mappings
Authors
Series Title
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Series Volume
26
Copyright
1993
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-78201-5
DOI
10.1007/978-3-642-78201-5
Softcover ISBN
978-3-642-78203-9
Series ISSN
0071-1136
Edition Number
1
Number of Pages
X, 213
Topics