An introduction to complex function theory / Bruce P. Palka.
Material type: TextLanguage: English Series: Undergraduate texts in mathematicsPublication details: New York : Springer-Verlag, c1991.Description: xvii, 559 p. : ill. ; 25 cmISBN:- 038797427X (SpringerVerlag New York Berlin Heidelberg)
- 354097427X (SpringerVerlag Berlin Heidelberg New York)
- 515.9 20 PAL
Item type | Current library | Collection | Call number | Status | Date due | Barcode |
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General Books | CUTN Central Library Sciences | Non-fiction | 515.9 PAL (Browse shelf(Opens below)) | Available | 49583 |
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515.9 NAH An imaginary tale : | 515.9 NAH An imaginary tale : | 515.9 NAY A Text Book of Complex analysis | 515.9 PAL An introduction to complex function theory / | 515.9 RAO Complex analysis: An Invitation / | 515.93 GRE Function Theory of One Complex Variable | 515.93 GRE Function Theory of One Complex Variable |
Includes index.
This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. While presupposing in its readership a degree of mathematical maturity, it insists on no formal prerequisites beyond a sound knowledge of calculus. Starting from basic definitions, the text slowly and carefully develops the ideas of complex analysis to the point where such landmarks of the subject as Cauchy's theorem, the Riemann mapping theorem, and the theorem of Mittag-Leffler can be treated without sidestepping any issues of rigor. The emphasis throughout is a geometric one, most pronounced in the extensive chapter dealing with conformal mapping, which amounts essentially to a "short course" in that important area of complex function theory. Each chapter concludes with a wide selection of exercises, ranging from straightforward computations to problems of a more conceptual and thought-provoking nature.
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