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- catalog abstract "A 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.".
- catalog contributor b1040737.
- catalog created "c1979.".
- catalog date "1979".
- catalog date "c1979.".
- catalog dateCopyrighted "c1979.".
- catalog description "A 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.".
- catalog description "Complex numbers -- Complex functions -- Analytic functions as mappings -- Complex integration -- Series and product developments -- Conformal mapping. Dirichlet's problem -- Elliptic functions -- Global analytic functions.".
- catalog extent "xiv, 331 p. :".
- catalog hasFormat "Complex analysis.".
- catalog identifier "0070006571 :".
- catalog isFormatOf "Complex analysis.".
- catalog isPartOf "International series in pure and applied mathematics".
- catalog issued "1979".
- catalog issued "c1979.".
- catalog language "eng".
- catalog publisher "New York : McGraw-Hill,".
- catalog relation "Complex analysis.".
- catalog subject "515/.93".
- catalog subject "Analytic functions.".
- catalog subject "QA331 .A45 1979".
- catalog tableOfContents "Complex numbers -- Complex functions -- Analytic functions as mappings -- Complex integration -- Series and product developments -- Conformal mapping. Dirichlet's problem -- Elliptic functions -- Global analytic functions.".
- catalog title "Complex analysis : an introduction to the theory of analytic functions of one complex variable / Lars V. Ahlfors.".
- catalog type "text".