東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Complex Analysis = Translated from t...

Bruna, Joaquim,

Linked to FindBook

Google Book

Amazon

博客來

Complex Analysis = Translated from the Catalan by Ignacio Monreal /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Complex Analysis/ Joaquim Bruna, Julià Cufí
Reminder of title:	Translated from the Catalan by Ignacio Monreal /
Author:	Bruna, Joaquim,
other author:	Cufí, Julià,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2013,
Description:	1 online resource (576 pages)
Subject:	Complex analysis -
Online resource:	https://doi.org/10.4171/111
Online resource:	https://www.ems-ph.org/img/books/bruna_mini.jpg
ISBN:	9783037196113

Complex Analysis = Translated from the Catalan by Ignacio Monreal /
Bruna, Joaquim,

Complex AnalysisTranslated from the Catalan by Ignacio Monreal /[electronic resource] :Joaquim Bruna, Julià Cufí - Zuerich, Switzerland :European Mathematical Society Publishing House,2013 - 1 online resource (576 pages) - EMS Textbooks in Mathematics (ETB).

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

The theory of functions of a complex variable is a central theme in mathematical analysis that has links to several branches of mathematics. Understanding the basics of the theory is necessary for anyone who wants to have a general mathematical training or for anyone who wants to use mathematics in applied sciences or technology. The book presents the basic theory of analytic functions of a complex variable and their points of contact with other parts of mathematical analysis. This results in some new approaches to a number of topics when compared to the current literature on the subject. Some issues covered are: a real version of the Cauchy-Goursat theorem, theorems of vector analysis with weak regularity assumptions, an approach to the concept of holomorphic functions of real variables, Green's formula with multiplicities, Cauchy's theorem for locally exact forms, a study in parallel of Poisson's equation and the inhomogeneous Cauchy-Riemann equations, the relationship between Green's function and conformal mapping, the connection between the solution of Poisson's equation and zeros of holomorphic functions, and the Whittaker-Shannon theorem of information theory. The text can be used as a manual for complex variable courses of various levels and as a reference book. The only prerequisites for reading it is a working knowledge of the topology of the plane and the differential calculus for functions of several real variables. A detailed treatment of harmonic functions also makes the book useful as an introduction to potential theory.

ISBN: 9783037196113

Standard No.: 10.4171/111doiSubjects--Topical Terms:

3480831
Complex analysis

Complex Analysis = Translated from the Catalan by Ignacio Monreal /
LDR:02613nmm a22003015a 4500 001 2233247
003 CH-001817-3
005 20130506234500.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20130506sz fot ||| 0|eng d
020 $a 9783037196113
024 7 0 $a 10.4171/111 $2 doi
035 $a 164-130506
040 $a ch0018173
072 7 $a PBKD $2 bicssc
084 $a 30-xx $a 32-xx $2 msc
100 1 $a Bruna, Joaquim, $e author. $3 3481040
245 1 0 $a Complex Analysis $h [electronic resource] : $b Translated from the Catalan by Ignacio Monreal / $c Joaquim Bruna, Julià Cufí
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2013
300 $a 1 online resource (576 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Textbooks in Mathematics (ETB)
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a The theory of functions of a complex variable is a central theme in mathematical analysis that has links to several branches of mathematics. Understanding the basics of the theory is necessary for anyone who wants to have a general mathematical training or for anyone who wants to use mathematics in applied sciences or technology. The book presents the basic theory of analytic functions of a complex variable and their points of contact with other parts of mathematical analysis. This results in some new approaches to a number of topics when compared to the current literature on the subject. Some issues covered are: a real version of the Cauchy-Goursat theorem, theorems of vector analysis with weak regularity assumptions, an approach to the concept of holomorphic functions of real variables, Green's formula with multiplicities, Cauchy's theorem for locally exact forms, a study in parallel of Poisson's equation and the inhomogeneous Cauchy-Riemann equations, the relationship between Green's function and conformal mapping, the connection between the solution of Poisson's equation and zeros of holomorphic functions, and the Whittaker-Shannon theorem of information theory. The text can be used as a manual for complex variable courses of various levels and as a reference book. The only prerequisites for reading it is a working knowledge of the topology of the plane and the differential calculus for functions of several real variables. A detailed treatment of harmonic functions also makes the book useful as an introduction to potential theory.
650 0 7 $a Complex analysis $2 bicssc $3 3480831
650 0 7 $a Functions of a complex variable $2 msc $3 3480833
650 0 7 $a Several complex variables and analytic spaces $2 msc $3 3480813
700 1 $a Cufí, Julià, $e author. $3 3481041
856 4 0 $u https://doi.org/10.4171/111
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/bruna_mini.jpg