| Complex Analysis 1999. Corr. 3rd Edition Contributor(s): Lang, Serge (Author) |
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ISBN: 0387985921 ISBN-13: 9780387985923 Publisher: Springer OUR PRICE: $85.45 Product Type: Hardcover - Other Formats Published: December 1998 Annotation: This is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course. This is a revised edition, new examples and exercises have been added, and many minor improvements have been made throughout the text. |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Probability & Statistics - General |
| Dewey: 515.9 |
| LCCN: 98029992 |
| Series: Graduate Texts in Mathematics |
| Physical Information: 1.3" H x 6.5" W x 9.3" (1.90 lbs) 489 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor's fancy at the time as well as extra read- ing material for students on their own. A large number of routine exer- cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues. |