000 02441nam a22004218i 4500
001 CR9780511804045
003 UkCbUP
005 20200124160225.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 101021s2007||||enk o ||1 0|eng|d
020 _a9780511804045 (ebook)
020 _z9780521809375 (hardback)
020 _z9780521003988 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
041 1 _aeng
_hjap
050 0 0 _aQA331.7
_b.K63313 2007
082 0 0 _a515.9
_222
100 1 _aKodaira, Kunihiko,
_d1915-
_eauthor.
240 1 0 _aComplex analysis.
_lEnglish
245 1 0 _aComplex analysis /
_cKunihiko Kodaira ; translated by A. Sevenster ; edited by A.F. Beardon and T.K. Carne.
264 1 _aCambridge :
_bCambridge University Press,
_c2007.
300 _a1 online resource (ix, 406 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v107
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aWritten by a master of the subject, this text will be appreciated by students and experts for the way it develops the classical theory of functions of a complex variable in a clear and straightforward manner. In general, the approach taken here emphasises geometrical aspects of the theory in order to avoid some of the topological pitfalls associated with this subject. Thus, Cauchy's integral formula is first proved in a topologically simple case from which the author deduces the basic properties of holomorphic functions. Starting from the basics, students are led on to the study of conformal mappings, Riemann's mapping theorem, analytic functions on a Riemann surface, and ultimately the Riemann-Roch and Abel theorems. Profusely illustrated, and with plenty of examples, and problems (solutions to many of which are included), this book should be a stimulating text for advanced courses in complex analysis.
650 0 _aFunctions of complex variables.
650 0 _aMathematical analysis.
700 1 _aBeardon, Alan F.,
_eeditor.
700 1 _aCarne, T. K.,
_eeditor.
700 1 _aSevenster, A.,
_etranslator.
776 0 8 _iPrint version:
_z9780521809375
830 0 _aCambridge studies in advanced mathematics ;
_v107.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511804045
999 _c517133
_d517131