Complex analysis
an introduction to the theory of analytic functions of one complex variable
3d ed.
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Author
Publication
1979 - McGraw-Hill Science/Engineering/Math, New York, New York (State)
Language
English
Word Count
82,750 words, Guess
Page Count
331 pages
Identifiers
- Open LibraryOL4729074M
- ISBN-100070006571
- OCLC Control Number4036464
- OCLC Control Number457290874
- Internet Archivecomplexanalysis00ahlf_120
and 3 more
- Library of Congress Control Number78017078
- Goodreads2437190
- LibraryThing75793
Classifications
- DDC515/.93
- LCCQA331 .A45 1979
- LCCQA331.A45 1979
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.
Subjects
Topics
Series Statement
- International series in pure and applied mathematics
Other Editions
- Complex analysis: an introduction to the theory of analytic functions of one complex variable
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