東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

More explorations in complex functions

Beals, Richard.

FindBook

Google Book

Amazon

博客來

More explorations in complex functions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	More explorations in complex functions/ by Richard Beals, Roderick S.C. Wong.
作者:	Beals, Richard.
其他作者:	Wong, Roderick.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xii, 403 p. :ill. (some col.), digital ;24 cm.
內容註:	1. Basics -- 2. Further preliminaries -- 3. Complex dynamics -- 4. Univalent functions and de Brange's theorem -- 5. Harmonic and subharmonic functions; the Dirichlet problem -- 6. General Riemann surfaces -- 7. The uniformization theorem -- 8. Quasiconformal mapping -- 9. Introduction to Teichmüller theory -- 10. The Bergman kernel -- 11. Theta functions -- 12. Padé approximants and continued fractions -- 13. Riemann-Hilbert problems -- 14. Asymptotic and Darboux's method -- References -- Index.
Contained By:	Springer Nature eBook
標題:	Functions of complex variables. -
電子資源:	https://doi.org/10.1007/978-3-031-28288-1
ISBN:	9783031282881

More explorations in complex functions
Beals, Richard.

More explorations in complex functions[electronic resource] /by Richard Beals, Roderick S.C. Wong. - Cham :Springer Nature Switzerland :2023. - xii, 403 p. :ill. (some col.), digital ;24 cm. - Graduate texts in mathematics,2982197-5612 ;. - Graduate texts in mathematics,298..

1. Basics -- 2. Further preliminaries -- 3. Complex dynamics -- 4. Univalent functions and de Brange's theorem -- 5. Harmonic and subharmonic functions; the Dirichlet problem -- 6. General Riemann surfaces -- 7. The uniformization theorem -- 8. Quasiconformal mapping -- 9. Introduction to Teichmüller theory -- 10. The Bergman kernel -- 11. Theta functions -- 12. Padé approximants and continued fractions -- 13. Riemann-Hilbert problems -- 14. Asymptotic and Darboux's method -- References -- Index.

More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. Both texts introduce a variety of topics, from core material in the mainstream of complex analysis to tools that are widely used in other areas of mathematics and applications, but there is minimal overlap between the two books. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis. Instructors will appreciate the many options for constructing a second course that builds on a standard first course in complex analysis. Exercises complement the results throughout. There is more material in this present text than one could expect to cover in a year's course in complex analysis. A mapping of dependence relations among chapters enables instructors and independent readers a choice of pathway to reading the text. Chapters 2, 4, 5, 7, and 8 contain the function theory background for some stochastic equations of current interest, such as SLE. The text begins with two introductory chapters to be used as a resource. Chapters 3 and 4 are stand-alone introductions to complex dynamics and to univalent function theory, including deBrange's theorem, respectively. Chapters 5-7 may be treated as a unit that leads from harmonic functions to covering surfaces to the uniformization theorem and Fuchsian groups. Chapter 8 is a stand-alone treatment of quasiconformal mapping that paves the way for Chapter 9, an introduction to Teichmüller theory. The final chapters, 10-14, are largely stand-alone introductions to topics of both theoretical and applied interest: the Bergman kernel, theta functions and Jacobi inversion, Padé approximants and continued fractions, the Riemann-Hilbert problem and integral equations, and Darboux's method for computing asymptotics.

ISBN: 9783031282881

Standard No.: 10.1007/978-3-031-28288-1doiSubjects--Topical Terms:

523875
Functions of complex variables.

LC Class. No.: QA331

Dewey Class. No.: 515.9

More explorations in complex functions
LDR:03471nmm a2200337 a 4500 001 2332377
003 DE-He213
005 20230701230141.0
006 m d
007 cr nn 008maaau
008 240402s2023 sz s 0 eng d
020 $a 9783031282881 $q (electronic bk.)
020 $a 9783031282874 $q (paper)
024 7 $a 10.1007/978-3-031-28288-1 $2 doi
035 $a 978-3-031-28288-1
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 .B366 2023
100 1 $a Beals, Richard. $3 1899473
245 1 0 $a More explorations in complex functions $h [electronic resource] / $c by Richard Beals, Roderick S.C. Wong.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2023.
300 $a xii, 403 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Graduate texts in mathematics, $x 2197-5612 ; $v 298
505 0 $a 1. Basics -- 2. Further preliminaries -- 3. Complex dynamics -- 4. Univalent functions and de Brange's theorem -- 5. Harmonic and subharmonic functions; the Dirichlet problem -- 6. General Riemann surfaces -- 7. The uniformization theorem -- 8. Quasiconformal mapping -- 9. Introduction to Teichmüller theory -- 10. The Bergman kernel -- 11. Theta functions -- 12. Padé approximants and continued fractions -- 13. Riemann-Hilbert problems -- 14. Asymptotic and Darboux's method -- References -- Index.
520 $a More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. Both texts introduce a variety of topics, from core material in the mainstream of complex analysis to tools that are widely used in other areas of mathematics and applications, but there is minimal overlap between the two books. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis. Instructors will appreciate the many options for constructing a second course that builds on a standard first course in complex analysis. Exercises complement the results throughout. There is more material in this present text than one could expect to cover in a year's course in complex analysis. A mapping of dependence relations among chapters enables instructors and independent readers a choice of pathway to reading the text. Chapters 2, 4, 5, 7, and 8 contain the function theory background for some stochastic equations of current interest, such as SLE. The text begins with two introductory chapters to be used as a resource. Chapters 3 and 4 are stand-alone introductions to complex dynamics and to univalent function theory, including deBrange's theorem, respectively. Chapters 5-7 may be treated as a unit that leads from harmonic functions to covering surfaces to the uniformization theorem and Fuchsian groups. Chapter 8 is a stand-alone treatment of quasiconformal mapping that paves the way for Chapter 9, an introduction to Teichmüller theory. The final chapters, 10-14, are largely stand-alone introductions to topics of both theoretical and applied interest: the Bergman kernel, theta functions and Jacobi inversion, Padé approximants and continued fractions, the Riemann-Hilbert problem and integral equations, and Darboux's method for computing asymptotics.
650 0 $a Functions of complex variables. $3 523875
650 1 4 $a Functions of a Complex Variable. $3 897310
650 2 4 $a Special Functions. $3 897326
650 2 4 $a Number Theory. $3 891078
700 1 $a Wong, Roderick. $3 1898243
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Graduate texts in mathematics, $v 298. $3 3662230
856 4 0 $u https://doi.org/10.1007/978-3-031-28288-1
950 $a Mathematics and Statistics (SpringerNature-11649)