國立虎尾科技大學 |

The geometric theory of complex variables

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The geometric theory of complex variables/ by Peter V. Dovbush, Steven G. Krantz.
作者:	Dovbush, Peter V.
其他作者:	Krantz, Steven G.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xi, 540 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Functional Analysis. -
電子資源:	https://doi.org/10.1007/978-3-031-77204-7
ISBN:	9783031772047

The geometric theory of complex variables
Dovbush, Peter V.

The geometric theory of complex variables[electronic resource] /by Peter V. Dovbush, Steven G. Krantz. - Cham :Springer Nature Switzerland :2025. - xi, 540 p. :ill., digital ;24 cm.

This book provides the reader with a broad introduction to the geometric methodology in complex analysis. It covers both single and several complex variables, creating a dialogue between the two viewpoints. Regarded as one of the 'grand old ladies' of modern mathematics, complex analysis traces its roots back 500 years. The subject began to flourish with Carl Friedrich Gauss's thesis around 1800. The geometric aspects of the theory can be traced back to the Riemann mapping theorem around 1850, with a significant milestone achieved in 1938 with Lars Ahlfors's geometrization of complex analysis. These ideas inspired many other mathematicians to adopt this perspective, leading to the proliferation of geometric theory of complex variables in various directions, including Riemann surfaces, Teichmüller theory, complex manifolds, extremal problems, and many others. This book explores all these areas, with classical geometric function theory as its main focus. Its accessible and gentle approach makes it suitable for advanced undergraduate and graduate students seeking to understand the connections among topics usually scattered across numerous textbooks, as well as experienced mathematicians with an interest in this rich field.

ISBN: 9783031772047

Standard No.: 10.1007/978-3-031-77204-7doiSubjects--Topical Terms:

672166
Functional Analysis.

LC Class. No.: QA614 / .D68 2025

Dewey Class. No.: 514.74

The geometric theory of complex variables
LDR:02209nam a2200313 a 4500 001 1161502
003 DE-He213
005 20250129115245.0
006 m d
007 cr nn 008maaau
008 251029s2025 sz s 0 eng d
020 $a 9783031772047 $q (electronic bk.)
020 $a 9783031772030 $q (paper)
024 7 $a 10.1007/978-3-031-77204-7 $2 doi
035 $a 978-3-031-77204-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA614 $b .D68 2025
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 514.74 $2 23
090 $a QA614 $b .D743 2025
100 1 $a Dovbush, Peter V. $3 1488431
245 1 4 $a The geometric theory of complex variables $h [electronic resource] / $c by Peter V. Dovbush, Steven G. Krantz.
260 $a Cham : $c 2025. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xi, 540 p. : $b ill., digital ; $c 24 cm.
520 $a This book provides the reader with a broad introduction to the geometric methodology in complex analysis. It covers both single and several complex variables, creating a dialogue between the two viewpoints. Regarded as one of the 'grand old ladies' of modern mathematics, complex analysis traces its roots back 500 years. The subject began to flourish with Carl Friedrich Gauss's thesis around 1800. The geometric aspects of the theory can be traced back to the Riemann mapping theorem around 1850, with a significant milestone achieved in 1938 with Lars Ahlfors's geometrization of complex analysis. These ideas inspired many other mathematicians to adopt this perspective, leading to the proliferation of geometric theory of complex variables in various directions, including Riemann surfaces, Teichmüller theory, complex manifolds, extremal problems, and many others. This book explores all these areas, with classical geometric function theory as its main focus. Its accessible and gentle approach makes it suitable for advanced undergraduate and graduate students seeking to understand the connections among topics usually scattered across numerous textbooks, as well as experienced mathematicians with an interest in this rich field.
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 672032
650 1 4 $a Global Analysis and Analysis on Manifolds. $3 672519
650 0 $a Functional analysis. $3 527706
650 0 $a Functions of complex variables. $3 528649
650 0 $a Manifolds (Mathematics) $3 672402
650 0 $a Global analysis (Mathematics) $3 672270
700 1 $a Krantz, Steven G. $3 676829
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-77204-7
950 $a Mathematics and Statistics (SpringerNature-11649)