000 02490cam a2200373 i 4500
001 u8395
003 SA-PMU
005 20210418123154.0
008 780612s1979 nyua 001 0 eng
010 _a 78017078
040 _aDLC
_beng
_cDLC
_dMUQ
_dBAKER
_dBTCTA
_dYDXCP
_dOCLCQ
_dZWZ
_dDEBSZ
_dOCLCQ
_dKIJ
_dMCW
_dBDX
_dGBVCP
_dOCLCF
020 _a0070006571
020 _a9780070006577
035 _a(OCoLC)4036464
050 0 0 _aQA331
_b.A45 1979
082 0 0 _a515/.93
100 1 _aAhlfors, Lars V.
_q(Lars Valerian),
_d1907-1996.
245 1 0 _aComplex analysis :
_ban introduction to the theory of analytic functions of one complex variable /
_cLars V. Ahlfors.
250 _a3d ed.
260 _aNew York :
_bMcGraw-Hill,
_cc1979.
300 _axiv, 331 p. :
_bill. ;
_c24 cm.
490 1 _aInternational series in pure and applied mathematics
500 _aIncludes index.
520 _aA standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy's theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals.
505 0 _aComplex numbers -- Complex functions -- Analytic functions as mappings -- Complex integration -- Series and product developments -- Conformal mapping. Dirichlet's problem -- Elliptic functions -- Global analytic functions.
504 _aIncludes index.
650 0 _aAnalytic functions.
830 0 _aInternational series in pure and applied mathematics.
856 4 1 _3Table of contents
_uhttp://catdir.loc.gov/catdir/toc/mh031/78017078.html
856 4 2 _3Publisher description
_uhttp://catdir.loc.gov/catdir/description/mh031/78017078.html
942 _cBOOK
994 _aZ0
_bSUPMU
596 _a1 2
999 _c1907
_d1907