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Complex Analysis = Translated from t...

Bruna, Joaquim,

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Complex Analysis = Translated from the Catalan by Ignacio Monreal /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Complex Analysis/ Joaquim Bruna, Julià Cufí
其他題名:	Translated from the Catalan by Ignacio Monreal /
作者:	Bruna, Joaquim,
其他作者:	Cufí, Julià,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2013,
面頁冊數:	1 online resource (576 pages)
標題:	Complex analysis -
電子資源:	https://doi.org/10.4171/111
電子資源:	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 /
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