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Complex analysis : an introduction to the theory of analytic functions of one complex variable
Autor: Ahlfors, Lars Valerian
Rok: 1979
ISBN: 9780070006577
OKCZID: 110319546
Vydání: 3rd ed.
Citace (dle ČSN ISO 690):
AHLFORS, Lars Valerian. Complex analysis: an introduction to the theory of analytic functions of one complex variable. 3rd ed. Auckland: McGraw-Hill, 1979. xiv, 331 s. International series in pure and applied mathematics.
Hodnocení:
3.5 / 5
(6 hlasů)
Anotace
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.