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Rational Sphere Maps (Progress in Mathematics, 341, Band 341) - Hardcover

Buch 166 von 170: Progress in Mathematics

D’Angelo, John P.

 
9783030758080: Rational Sphere Maps (Progress in Mathematics, 341, Band 341)
Hardcover
ISBN 10: 3030758087 ISBN 13: 9783030758080
Verlag: Birkhäuser, 2021

Inhaltsangabe

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 problemswill 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.

See the author’s research web page for a list of typos, clarifications, etc.: https://faculty.math.illinois.edu/~jpda/research.html

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Über die Autorin bzw. den Autor

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

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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 susbequent 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 willencourage 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 diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Birkhäuser
Erscheinungsdatum
2021
Sprache
Englisch
ISBN 10 
3030758087
ISBN 13 
9783030758080
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
246
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

Lengericher Landstr. 19
Osnabrück
Niedersachsen
49078
Deutschland

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