Progress in Mathematics

Rational Sphere Maps

Autoren: D’Angelo, John

Vorschau
  • Synthesizes research from the past 40 years on rational sphere maps
  • Explores connections with other areas of mathematics, such as combinatorics, optimization, and number theory
  • Includes several computational examples worked out in detail
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  • ISBN 978-3-030-75809-7
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Über dieses Buch

This monograph systematically explores the theory of rational maps between spheres in complex Euclidean spaces and its connections to other areas of mathematics.  Synthesizing research from the last forty years, the author aims for accessibility by balancing abstract concepts with concrete examples.  Numerous computations are worked out in detail, and more than 100 optional exercises are provided throughout for readers wishing to better understand challenging material.
The text begins by presenting core concepts in complex analysis and a wide variety of results about rational sphere maps.  The subsequent chapters discuss combinatorial and optimization results about monomial sphere maps, groups associated with rational sphere maps, relevant complex and CR geometry, and some geometric properties of rational sphere maps.  Fifteen open problems appear in the final chapter, with references provided to appropriate parts of the text. These problems will encourage readers to apply the material to future research.
Rational Sphere Maps will be of interest to researchers and graduate students studying several complex variables and CR geometry.  Mathematicians from other areas, such as number theory, optimization, and combinatorics, will also find the material appealing.

Über die Autor*innen

John P. D'Angelo, PhD, is a Professor in the Department of Mathematics at the University of Illiniois at Urbana-Champaign, USA

Inhaltsverzeichnis (8 Kapitel)

Inhaltsverzeichnis (8 Kapitel)

Dieses Buch kaufen

eBook 93,08 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-030-75809-7
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 117,69 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Rational Sphere Maps
Autoren
Titel der Buchreihe
Progress in Mathematics
Buchreihen Band
341
Copyright
2021
Verlag
Birkhäuser Basel
Copyright Inhaber
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-75809-7
DOI
10.1007/978-3-030-75809-7
Hardcover ISBN
978-3-030-75808-0
Buchreihen ISSN
0743-1643
Auflage
1
Seitenzahl
XIII, 233
Anzahl der Bilder
1 schwarz-weiß Abbildungen, 1 Abbildungen in Farbe
Themen