001438089 000__ 03421cam\a2200541\a\4500
001438089 001__ 1438089
001438089 003__ OCoLC
001438089 005__ 20230309004247.0
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001438089 019__ $$a1260347494
001438089 020__ $$a9783030758097$$q(electronic bk.)
001438089 020__ $$a3030758095$$q(electronic bk.)
001438089 020__ $$z3030758087
001438089 020__ $$z9783030758080
001438089 0247_ $$a10.1007/978-3-030-75809-7$$2doi
001438089 035__ $$aSP(OCoLC)1260240511
001438089 040__ $$aYDX$$beng$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dOCLCQ$$dCOM$$dOCLCO$$dOCLCQ
001438089 049__ $$aISEA
001438089 050_4 $$aQA406
001438089 08204 $$a515/.53$$223
001438089 1001_ $$aD'Angelo, John P.
001438089 24510 $$aRational sphere maps /$$cJohn P. D'Angelo.
001438089 260__ $$aCham, Switzerland :$$bBirkhäuser,$$c2021.
001438089 300__ $$a1 online resource
001438089 336__ $$atext$$btxt$$2rdacontent
001438089 337__ $$acomputer$$bc$$2rdamedia
001438089 338__ $$aonline resource$$bcr$$2rdacarrier
001438089 4901_ $$aProgress in mathematics,$$x0743-1643 ;$$v341
001438089 504__ $$aIncludes bibliographical references and index.
001438089 5050_ $$aComplex Euclidean Space -- Examples and Properties of Rational Sphere Maps -- Monomial Sphere Maps -- Monomial Sphere Maps and Linear Programming -- Groups Associated with Holomorphic Mappings -- Elementary Complex and CR Geometry -- Geometric Properties of Rational Sphere Maps -- List of Open Problems.
001438089 506__ $$aAccess limited to authorized users.
001438089 520__ $$aThis monograph systematically explores the theory of rational maps between spheres in complex Euclidean spaces and its connections to other areas of mathematics. Synthesizing research from the last forty years, the author aims for accessibility by balancing abstract concepts with concrete examples. Numerous computations are worked out in detail, and more than 100 optional exercises are provided throughout for readers wishing to better understand challenging material. The text begins by presenting core concepts in complex analysis and a wide variety of results about rational sphere maps. The susbequent chapters discuss combinatorial and optimization results about monomial sphere maps, groups associated with rational sphere maps, relevant complex and CR geometry, and some geometric properties of rational sphere maps. Fifteen open problems appear in the final chapter, with references provided to appropriate parts of the text. These problems will encourage readers to apply the material to future research. Rational Sphere Maps will be of interest to researchers and graduate students studying several complex variables and CR geometry. Mathematicians from other areas, such as number theory, optimization, and combinatorics, will also find the material appealing.
001438089 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 21, 2021).
001438089 650_0 $$aSpherical functions.
001438089 650_0 $$aEuclidean algorithm.
001438089 650_6 $$aFonctions sphériques.
001438089 650_6 $$aAlgorithme d'Euclide.
001438089 655_0 $$aElectronic books.
001438089 77608 $$iPrint version: $$z3030758087$$z9783030758080$$w(OCoLC)1245658177
001438089 830_0 $$aProgress in mathematics (Boston, Mass.) ;$$vv. 341.$$x0743-1643
001438089 852__ $$bebk
001438089 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-75809-7$$zOnline Access$$91397441.1
001438089 909CO $$ooai:library.usi.edu:1438089$$pGLOBAL_SET
001438089 980__ $$aBIB
001438089 980__ $$aEBOOK
001438089 982__ $$aEbook
001438089 983__ $$aOnline
001438089 994__ $$a92$$bISE