Progress in Mathematics

Rational Sphere Maps

Authors: D’Angelo, John

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  • 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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eBook 93,08 €
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  • ISBN 978-3-030-75809-7
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Hardcover 114,39 €
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  • ISBN 978-3-030-75808-0
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About this book

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.

About the authors

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

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-030-75809-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-75808-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • 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
Rational Sphere Maps
Authors
Series Title
Progress in Mathematics
Series Volume
341
Copyright
2021
Publisher
Birkhäuser Basel
Copyright Holder
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
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XIII, 233
Number of Illustrations
1 b/w illustrations, 1 illustrations in colour
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