國立高雄大學圖資館 |

Monogenic functions in spaces with commutative multiplication and applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Monogenic functions in spaces with commutative multiplication and applicationsby Sergiy A. Plaksa, Vitalii S. Shpakivskyi.
作者:	Plaksa, Sergiy A.
其他作者:	Shpakivskyi, Vitalii S.
出版者:	Cham :Springer Nature Switzerland :2023.
面頁冊數:	xvi, 550 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Monogenic functions.
電子資源:	https://doi.org/10.1007/978-3-031-32254-9
ISBN:	9783031322549$q(electronic bk.)

Monogenic functions in spaces with commutative multiplication and applications
Plaksa, Sergiy A.

Monogenic functions in spaces with commutative multiplication and applications[electronic resource] /by Sergiy A. Plaksa, Vitalii S. Shpakivskyi. - Cham :Springer Nature Switzerland :2023. - xvi, 550 p. :ill. (some col.), digital ;24 cm. - Frontiers in mathematics,1660-8054. - Frontiers in mathematics..

This monograph develops a theory of continuous and differentiable functions, called monogenic functions, in the sense of Gateaux functions taking values in some vector spaces with commutative multiplication. The study of these monogenic functions in various commutative algebras leads to a discovery of new ways of solving boundary value problems in mathematical physics. The book consists of six parts: Part I presents some preliminary notions and introduces various concepts of differentiable mappings of vector spaces. Part II - V is devoted to the study of monogenic functions in various spaces with commutative multiplication, namely, three dimensional commutative algebras with two-dimensional radical, finite-dimensional commutative associative algebras, infinite-dimensional vector spaces associated with the three-dimensional Laplace equation and infinite-dimensional vector spaces associated with axial-symmetric potential fields. Part VI presents some boundary value problems for axial-symmetric potential fields and develops effective analytic methods of solving these boundary value problems with various applications in mathematical physics. Graduate students and researchers alike benefit from this book.

ISBN: 9783031322549$q(electronic bk.)

Standard No.: 10.1007/978-3-031-32254-9doiSubjects--Topical Terms:

958664
Monogenic functions.

LC Class. No.: QA331

Dewey Class. No.: 515.9

Monogenic functions in spaces with commutative multiplication and applications
LDR:02286nmm a2200325 a 4500 001 648814
003 DE-He213
005 20230718054424.0
006 m d
007 cr nn 008maaau
008 240116s2023 sz s 0 eng d
020 $a 9783031322549$q(electronic bk.)
020 $a 9783031322563$q(paper)
024 7 $a 10.1007/978-3-031-32254-9 $2 doi
035 $a 978-3-031-32254-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA331
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.9 $2 23
090 $a QA331 $b .P698 2023
100 1 $a Plaksa, Sergiy A. $3 958662
245 1 0 $a Monogenic functions in spaces with commutative multiplication and applications $h [electronic resource] / $c by Sergiy A. Plaksa, Vitalii S. Shpakivskyi.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2023.
300 $a xvi, 550 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8054
520 $a This monograph develops a theory of continuous and differentiable functions, called monogenic functions, in the sense of Gateaux functions taking values in some vector spaces with commutative multiplication. The study of these monogenic functions in various commutative algebras leads to a discovery of new ways of solving boundary value problems in mathematical physics. The book consists of six parts: Part I presents some preliminary notions and introduces various concepts of differentiable mappings of vector spaces. Part II - V is devoted to the study of monogenic functions in various spaces with commutative multiplication, namely, three dimensional commutative algebras with two-dimensional radical, finite-dimensional commutative associative algebras, infinite-dimensional vector spaces associated with the three-dimensional Laplace equation and infinite-dimensional vector spaces associated with axial-symmetric potential fields. Part VI presents some boundary value problems for axial-symmetric potential fields and develops effective analytic methods of solving these boundary value problems with various applications in mathematical physics. Graduate students and researchers alike benefit from this book.
650 0 $a Monogenic functions. $3 958664
650 0 $a Commutative algebra. $3 190842
650 0 $a Boundary value problems. $3 206979
650 1 4 $a Functions of a Complex Variable. $3 275780
700 1 $a Shpakivskyi, Vitalii S. $3 958663
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Frontiers in mathematics. $3 558254
856 4 0 $u https://doi.org/10.1007/978-3-031-32254-9
950 $a Mathematics and Statistics (SpringerNature-11649)