Complex analysis
La 4e de couv. indique : "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 interested in general mathematical training or for anyone who wan...
Enregistré dans:
| Auteurs principaux: | , |
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| Andre forfattere: | |
| Format: | Livre papier |
| Sprog: | Anglais |
| Udgivet: |
Zürich :
European mathematical society
C 2013.
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| Serier: | EMS textbooks in mathematics
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| Fag: | |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Complex analysis, Joaquim Bruna, Julià Cufí, 2013, Zürich, European mathematical society, 978-3-03719-611-3 |
| LEADER | 02929nam a22003377a 4500 | ||
|---|---|---|---|
| 001 | 619938 | ||
| 008 | 131008t20132013xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN172182204 | ||
| 020 | |a 9783037191118 (rel.) | ||
| 024 | |a 9783037191118 | ||
| 041 | 1 | |a eng |h cat | |
| 082 | |a 515.9 | ||
| 084 | |a 30-01. 2010 | ||
| 084 | |a 31-01. 2010 | ||
| 100 | 1 | |a Bruna, Joaquim. | |
| 245 | 1 | 0 | |a Complex analysis |c Joaquim Bruna, Julià Cufí ; translated from the Catalan by Ignacio Monreal. |
| 260 | |a Zürich : |b European mathematical society. | ||
| 260 | |c C 2013. | ||
| 300 | |a 1 vol. (XII-564 p.) : |b ill., couv. ill. en coul. ; |c 24 cm. | ||
| 490 | 1 | |a EMS textbooks in mathematics | |
| 504 | |a Bibliogr. p. [555]. Liste des symboles. Index | ||
| 505 | 2 | |a Contient des exercices | |
| 520 | |a La 4e de couv. indique : "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 interested in 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 prerequisite 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 | |a Fonctions de plusieurs variables complexes | ||
| 650 | |a Fonctions holomorphes | ||
| 650 | |a Applications conformes | ||
| 700 | 1 | |a Cufí, Julia, |d 1945- |4 aut | |
| 700 | 1 | |a Monreal, Ignacio, |d 19..- |4 trl | |
| 765 | 0 | |t Anàlisi complexa |f Joaquim Bruna, Julià |n Cufí Servei de Publicacions de la Universitat Autònoma de Barcelona |d 2008 | |
| 776 | 0 | |0 178156221 |t Complex analysis |f Joaquim Bruna, Julià Cufí |d 2013 |c Zürich |n European mathematical society |z 978-3-03719-611-3 | |
| 997 | |0 619938 |1 Livre papier |a Ressource papier |c 0/Orléans/ |c 1/Orléans/IDP/ |z Orléans, IDP, 9059 BRU | ||