Conformally Invariant Metrics and Quasiconformal Mappings (eBook)

Parisa Hariri, Riku Klén, Matti Vuorinen (Autoren)

eBook Download: PDF

2020 | 1st ed. 2020
XIX, 502 Seiten
Springer International Publishing (Verlag)
978-3-030-32068-3 (ISBN)

Infos

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.

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.

Produkt-Details

• Erscheint lt. Verlag: 11.4.2020
• Reihe/Serie: Springer Monographs in Mathematics
• Reihe/Serie: Springer Monographs in Mathematics
• Zusatzinfo: XIX, 502 p. 56 illus.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: boundary properties of QR-maps • conformal invariants • hyperbolic metric • Möbius transformations • Quasiconformal mappings in the plane • Quasiregular mappings in Rn
• ISBN-10: 3-030-32068-5 / 3030320685
• ISBN-13: 978-3-030-32068-3 / 9783030320683