LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515.94
Title	Rational Sphere Maps ([EBook] /) / by John P. D’Angelo.
Author	D’Angelo, John P.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2021.
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2021.
Physical Details	XIII, 233 p. 2 illus., 1 illus. in color. : online resource.
Series	Progress in mathematics 2296-505X ; ; 341
ISBN	9783030758097
Summary Note	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 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.:
Contents note	Complex Euclidean Space -- Examples and Properties of Rational Sphere Maps -- Monomial Sphere Maps -- Monomial Sphere Maps and Linear Programming -- Groups Associated with Holomorphic Mappings -- Elementary Complex and CR Geometry -- Geometric Properties of Rational Sphere Maps -- List of Open Problems.
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-75809-7
Links to Related Works	Subject References: Differential Geometry . Functions of complex variables . Geometry, Differential . Global Analysis and Analysis on Manifolds . Global analysis (Mathematics) . Manifolds (Mathematics) . Several Complex Variables and Analytic Spaces . Authors: author . D’Angelo, John P. . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 515.94 .

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Rational Sphere Maps

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