Lectures on Complex Analysis
Language: English
Published by Springer Nature Switzerland AG Jun 2026, 2026
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -This elegant textbook offers a comprehensive course on one-dimensional complex analysis. It includes many topics that, in this scope, are not covered in most other textbooks, such as a detailed investigation of the Schwarzian derivative and its associated differential equation, with applications to conformal mappings of circular polygons; various proofs of the uniformisation theorem for planar domains; an introduction to the theory of ordinary differential equations in the complex domain, culminating in a proof of the CauchyKovalevskaya theorem; an introduction to the theory of normal families, including Zalcman's lemma; a proof of the PaleyWiener theorem; a complete discussion of the LaguerrePólya class; solution of the Dirichlet problem, with special emphasis on harmonic measure and Green's function, and applications to conformal mappings of multiply connected domains; a detailed description of the dynamics of polynomials; and the consistent use of the theory of proper mappings whenever possible.Springer Nature Customer Service Center GmbH, Europaplatz 3,69115 Heidelberg, Germany, Heidelberg 369 pp. Englisch.…
Seller Inventory # 9783032139955
- Title
- Lectures on Complex Analysis
- Author
- Norbert Steinmetz
- Publisher
- Springer Nature Switzerland AG Jun 2026
- Publication year
- 2026
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3032139953
- ISBN 13
- 9783032139955
- Item weight
- 815 grams
- Dimensions
- 241x160x26 mm
This elegant textbook offers a comprehensive course on one-dimensional complex analysis. It includes many topics that, in this scope, are not covered in most other textbooks, such as a detailed investigation of the Schwarzian derivative and its associated differential equation, with applications to conformal mappings of circular polygons; various proofs of the uniformisation theorem for planar domains; an introduction to the theory of ordinary differential equations in the complex domain, culminating in a proof of the Cauchy–Kovalevskaya theorem; an introduction to the theory of normal families, including Zalcman's lemma; a proof of the Paley–Wiener theorem; a complete discussion of the Laguerre–Pólya class; solution of the Dirichlet problem, with special emphasis on harmonic measure and Green's function, and applications to conformal mappings of multiply connected domains; a detailed description of the dynamics of polynomials; and the consistent use of the theory of proper mappings whenever possible.
"Synopsis" may belong to another edition of this title.
About the Author
Norbert Steinmetz is a professor emeritus at the Mathematical Institute of the Technical University of Dortmund. His field of work encompasses complex analysis, in particular Nevanlinna theory, the field of ordinary differential equations in the complex domain, and the theory of complex dynamic systems.
"About the title" may belong to another edition of this title.
buchversandmimpf2000
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