Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
>
System Notification
Catalogue Card Display
Catalogue Card Display
RAK
Title: More Explorations in Complex Functions (EBook /) / by Richard Beals, Roderick S.C. Wong. Dewey Class: 515.9 Author: Beals, Richard. author. Edition statement: 1st ed. 2023. Added Personal Name: Wong, Roderick S.C. author. Publication: Cham : : Springer Nature Switzerland : : Imprint: Springer,, 2023. Other name(s): SpringerLink (Online service) Physical Details: XII, 403 p. 50 illus., 43 illus. in color. : online resource. Series: Graduate Texts in Mathematics,2197-5612 ;; 298 ISBN: 9783031282881 Mode of acces to digital resource: Digital reproduction.- Cham : Springer International Publishing, 2023. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). Summary Note: 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.: Contents note: 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. ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
Quick Search
Search for