Springer Monographs in Mathematics

Conformally Invariant Metrics and Quasiconformal Mappings

Authors: Hariri, Parisa, Klen, Riku, Vuorinen, Matti

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  • Brings under one roof results previously scattered in many research papers published during the past 50 years since the origin of the three-dimensional theory of quasiconformal and quasiregular mappings
  • Contains an extensive set of exercises, including solutions
  • Can be used as learning material/collateral reading for several courses
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eBook 85,59 €
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  • ISBN 978-3-030-32068-3
  • Digitally watermarked, DRM-free
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Hardcover 103,99 €
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About this book

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.

About the authors

Matti Vuorinen, currently professor of mathematics at the University of Turku and docent at the University of Helsinki, is the author of more than 200 publications, including 2 books on quasiregular and quasiconformal mappings. The first entitled "Conformal geometry and quasiregular mappings" (Lecture Notes in Math. Vol. 1319) was published by Springer-Verlag in 1988 and the second, entitled "Conformal invariants, inequalities and quasiconformal mappings" by J. Wiley, in 1997.
Riku Klén, currently assistant professor at the University of Turku, Turku PET Centre, does research in Conformal Geometry and Quasiconformal Mappings as well as Medical Imaging.

Parisa Hariri, obtained her PhD in Mathematics from the University of Turku in 2018, under the supervision of Matti Vuorinen and Riku Klen. Her PhD thesis was on 'Hyperbolic Type Metrics in Geometric Function Theory'. She is currently working as medical statistician at the University of Oxford Vaccine Group in the Department of Paediatrics.


Table of contents (20 chapters)

Table of contents (20 chapters)

Buy this book

eBook 85,59 €
price for Spain (gross)
  • ISBN 978-3-030-32068-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 103,99 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Conformally Invariant Metrics and Quasiconformal Mappings
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-32068-3
DOI
10.1007/978-3-030-32068-3
Hardcover ISBN
978-3-030-32067-6
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XIX, 502
Number of Illustrations
56 b/w illustrations
Topics