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
:
Catalogue Display
Catalogue Display
Complex Analysis in One Variable
.
Bookmark this Record
Catalogue Record 44688
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 44688
.
Reviews
Catalogue Record 44688
.
British Library
Resolver for RSN-44688
Google Scholar
Resolver for RSN-44688
WorldCat
Resolver for RSN-44688
Catalogo Nazionale SBN
Resolver for RSN-44688
GoogleBooks
Resolver for RSN-44688
ICTP Library
Resolver for RSN-44688
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
515.8
Title
Complex Analysis in One Variable ([EBook] /) / by Raghavan Narasimhan, Yves Nievergelt.
Author
Narasimhan, Raghavan
Added Personal Name
Nievergelt, Yves
author.
Other name(s)
SpringerLink (Online service)
Edition statement
Second Edition.
Publication
Boston, MA : : Birkhäuser Boston : : Imprint: Birkhäuser, , 2001.
Physical Details
XIV, 381 p. : online resource.
ISBN
9781461201755
Summary Note
This book presents complex analysis in one variable in the context of modern mathematics, with clear connections to several complex variables, de Rham theory, real analysis, and other branches of mathematics. Thus, covering spaces are used explicitly in dealing with Cauchy's theorem, real variable methods are illustrated in the Loman-Menchoff theorem and in the corona theorem, and the algebraic structure of the ring of holomorphic functions is studied. Using the unique position of complex analysis, a field drawing on many disciplines, the book also illustrates powerful mathematical ideas and tools, and requires minimal background material. Cohomological methods are introduced, both in connection with the existence of primitives and in the study of meromorphic functionas on a compact Riemann surface. The proof of Picard's theorem given here illustrates the strong restrictions on holomorphic mappings imposed by curvature conditions. New to this second edition, a collection of over 100 pages worth of exercises, problems, and examples gives students an opportunity to consolidate their command of complex analysis and its relations to other branches of mathematics, including advanced calculus, topology, and real applications.:
Contents note
I Complex Analysis in One Variable -- 1 Elementary Theory of Holomorphic Functions -- 2 Covering Spaces and the Monodromy Theorem -- 3 The Winding Number and the Residue Theorem -- 4 Picard’s Theorem -- 5 Inhomogeneous Cauchy-Riemann Equation and Runge’s Theorem -- 6 Applications of Runge’s Theorem -- 7 Riemann Mapping Theorem and Simple Connectedness in the Plane -- 8 Functions of Several Complex Variables -- 9 Compact Riemann Surfaces -- 10 The Corona Theorem -- 11 Subharmonic Functions and the Dirichlet Problem -- II Exercises -- 0 Review of Complex Numbers -- 1 Elementary Theory of Holomorphic Functions -- 2 Covering Spaces and the Monodromy Theorem -- 3 The Winding Number and the Residue Theorem -- 4 Picard’s Theorem -- 5 The Inhomogeneous Cauchy—Riemann Equation and Runge’s Theorem -- 6 Applications of Runge’s Theorem -- 7 The Riemann Mapping Theorem and Simple Connectedness in the Plane -- 8 Functions of Several Complex Variables -- 9 Compact Riemann Surfaces -- 10 The Corona Theorem -- 11 Subharmonic Functions and the Dirichlet Problem -- Notes for the exercises -- References for the exercises.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-0175-5
Links to Related Works
Subject References:
Algebraic Geometry
.
Analysis
.
Analysis (Mathematics)
.
Functions of a Complex Variable
.
Functions of complex variables
.
Functions of real variables
.
Mathematical analysis
.
Mathematics
.
Real Functions
.
Several Complex Variables and Analytic Spaces
.
Authors:
Narasimhan, Raghavan
.
Nievergelt, Yves
.
Corporate Authors:
SpringerLink (Online service)
.
Classification:
515.8
.
.
ISBD Display
Catalogue Record 44688
.
Tag Display
Catalogue Record 44688
.
Related Works
Catalogue Record 44688
.
Marc XML
Catalogue Record 44688
.
Add Title to Basket
Catalogue Record 44688
.
Catalogue Information 44688
Beginning of record
.
Catalogue Information 44688
Top of page
.
Download Title
Catalogue Record 44688
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
44688
1
44688
-
2
44688
-
3
44688
-
4
44688
-
5
44688
-
Quick Search
Search for