Complex Analysis

Translated from the Catalan by Ignacio Monreal

  • Joaquim Bruna

    Universitat Autònoma de Barcelona, Spain
  • Julià Cufí

    Universitat Autònoma de Barcelona, Spain
Complex Analysis cover

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FrontmatterDownload pp. i–iv
PrefaceDownload pp. v–vii
ContentsDownload pp. ix–xii
1Arithmetic and topology in the complex planepp. 1–38
2Functions of a complex variablepp. 39–84
3Holomorphic functions and differential formspp. 85–135
4Local properties of holomorphic functionspp. 136–163
5Isolated singularities of holomorphic functions. The residue theorem. Applicationspp. 164–206
6Homology and holomorphic functionspp. 207–235
7Harmonic functionspp. 236–325
8Conformal mappingpp. 326–382
9The Riemann mapping theorem and Dirichlet’s problempp. 383–414
10Runge’s theorem and the Cauchy–Riemann equationspp. 415–459
11Zeros of holomorphic functionspp. 460–503
12The complex Fourier transformpp. 504–554
Bibliographyp. 555
Symbolspp. 557–558
Indexpp. 559–564