國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Rational sphere maps

D'Angelo, John P.

Rational sphere maps

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Rational sphere mapsby John P. D'Angelo.
作者:	D'Angelo, John P.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xiii, 233 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Spherical functions.
電子資源:	https://doi.org/10.1007/978-3-030-75809-7
ISBN:	9783030758097$q(electronic bk.)

Rational sphere maps
D'Angelo, John P.

Rational sphere maps[electronic resource] /by John P. D'Angelo. - Cham :Springer International Publishing :2021. - xiii, 233 p. :ill., digital ;24 cm. - Progress in mathematics,v.3410743-1643 ;. - Progress in mathematics ;v.295..

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.

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.

ISBN: 9783030758097$q(electronic bk.)

Standard No.: 10.1007/978-3-030-75809-7doiSubjects--Topical Terms:

338636
Spherical functions.

LC Class. No.: QA406

Dewey Class. No.: 515.53

Rational sphere maps
LDR:02578nmm a2200337 a 4500 001 602530
003 DE-He213
005 20210711233709.0
006 m d
007 cr nn 008maaau
008 211112s2021 sz s 0 eng d
020 $a 9783030758097$q(electronic bk.)
020 $a 9783030758080$q(paper)
024 7 $a 10.1007/978-3-030-75809-7 $2 doi
035 $a 978-3-030-75809-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA406
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.53 $2 23
090 $a QA406 $b .D182 2021
100 1 $a D'Angelo, John P. $3 841906
245 1 0 $a Rational sphere maps $h [electronic resource] / $c by John P. D'Angelo.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2021.
300 $a xiii, 233 p. : $b ill., digital ; $c 24 cm.
490 1 $a Progress in mathematics, $x 0743-1643 ; $v v.341
505 0 $a 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.
520 $a 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.
650 0 $a Spherical functions. $3 338636
650 0 $a Euclidean algorithm. $3 484881
650 1 4 $a Several Complex Variables and Analytic Spaces. $3 276692
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 273786
650 2 4 $a Differential Geometry. $3 273785
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Progress in mathematics ; $v v.295. $3 558269
856 4 0 $u https://doi.org/10.1007/978-3-030-75809-7
950 $a Mathematics and Statistics (SpringerNature-11649)