This text is based on lectures given by the authors at Helsinki University and at the University of Zürich, and is a translation of the German edition, Enidühung in die Funktionentheorie, published by Birkhäuser Verlag, Basel, in 1964. The book is limited to elements of the theory of functions. Coverage includes complex numbers, the concept of homotopy and its application, integral theorems, the theory and application of harmonic functions, and the correspondence of boundaries under conformal mapping. In introducing elementary functions, the authors have followed the presentation given by Ernst Lindelöf in his Finnish textbook, Johdatus funktioteoriaan. Chapter exercises are included, for a total of 320 exercises. It is assumed that the reader is acquainted with analytic geometry and calculus. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)
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Zustand: New. Gives a presentation of topics usually treated in a complex analysis course, starting with basic notions (rational functions, linear transformations, analytic function), and culminating in the discussion of conformal mappings, including the Riemann mapping theorem and the Picard theorem. This title is suitable for a class or for self-study. Series: AMS Chelsea Publishing. Num Pages: 350 pages, Illustrations. BIC Classification: PBKD. Category: (UU) Undergraduate. Weight in Grams: 788. . 2007. 2nd Edition. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821843994
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Hardback. Zustand: New. Second Edition. It really is a gem, both in terms of its table of contents and the level of discussion. The exercises also look very good. --Clifford Earle, Cornell University This book has a soul and has passion. --William Abikoff, University of Connecticut This classic book gives an excellent presentation of topics usually treated in a complex analysis course, starting with basic notions (rational functions, linear transformations, analytic function), and culminating in the discussion of conformal mappings, including the Riemann mapping theorem and the Picard theorem. The two quotes above confirm that the book can be successfully used as a text for a class or for self-study. Bestandsnummer des Verkäufers LU-9780821843994
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Zustand: New. Gives a presentation of topics usually treated in a complex analysis course, starting with basic notions (rational functions, linear transformations, analytic function), and culminating in the discussion of conformal mappings, including the Riemann mapping theorem and the Picard theorem. This title is suitable for a class or for self-study. Series: AMS Chelsea Publishing. Num Pages: 350 pages, Illustrations. BIC Classification: PBKD. Category: (UU) Undergraduate. Weight in Grams: 788. . 2007. 2nd Edition. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821843994
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Hardback. Zustand: New. Second Edition. It really is a gem, both in terms of its table of contents and the level of discussion. The exercises also look very good. --Clifford Earle, Cornell University This book has a soul and has passion. --William Abikoff, University of Connecticut This classic book gives an excellent presentation of topics usually treated in a complex analysis course, starting with basic notions (rational functions, linear transformations, analytic function), and culminating in the discussion of conformal mappings, including the Riemann mapping theorem and the Picard theorem. The two quotes above confirm that the book can be successfully used as a text for a class or for self-study. Bestandsnummer des Verkäufers LU-9780821843994
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