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Complex analysis : [Book] an introduction to the theory of analytic functions of one complex variable / Lars V. Ahlfors.

By: Contributor(s): Material type: TextTextSeries: International series in pure and applied mathematicsPublication details: New York : McGraw-Hill, c1979.Edition: Third edition. International Student editionDescription: xiv, 331 pages : illustrations ; 24 cmISBN:
  • 0070006571 (paperback)
  • 007Y850089
Subject(s): DDC classification:
  • 515.9
Other classification:
  • 515.9
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books Books Junaid Zaidi Library, COMSATS University Islamabad Ground Floor 515.9 AHL-C (Browse shelf(Opens below)) Available 56144
Books Books Junaid Zaidi Library, COMSATS University Islamabad Ground Floor 759.9493 PAQ-R (Browse shelf(Opens below)) Available 54915
Books Books Junaid Zaidi Library, COMSATS University Islamabad 2nd Floor 658 ROB-F (Browse shelf(Opens below)) Available 58732
Total holds: 0

Includes index.

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.

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