An Introduction to the Theory of Analytic Functions of One Complex Variable 3rd Revised edition
By (author) Lars V. Ahlfors
Complex Analysis by Lars V. Ahlfors
Book DescriptionA 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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Book DetailsISBN: 9780070006577
(231mm x 160mm x 25mm)
Imprint: McGraw Hill Higher Education
Publisher: McGraw-Hill Education - Europe
Publish Date: 1-Dec-1978
Country of Publication: United States
Books By Author Lars V. Ahlfors
Advances in the Theory of Riemann Surfaces, Paperback (July 1971)» View all books by Lars V. Ahlfors
Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.
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Author Biography - Lars V. Ahlfors
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