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- Princeton University Press 2010; US$ 90.00
With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the... more...
- Cambridge University Press 2010; US$ 52.00
This introductory text on complex variable methods has been updated with even more examples and exercises. more...
- Diplomica Verlag 2008; US$ 56.02
Hauptbeschreibung Fatou und Julia veröffentlichten 1919/1920 bzw. 1918 ihre berühmten Arbeiten über die Iteration komplexer rationaler Funktionen. Durch die Anwendung des Konzeptes der normalen Familie durch Fatou und Julia standen der komplexen Dynamik nun funktionentheoretische Ergebnisse zur Verfügung. Julia und Fatou gelang so der Durchbruch... more...
- Cambridge University Press 1997; US$ 43.00
Dr Smithies analyses the process whereby Cauchy created the basic structure of complex function theory. more...
- Springer 2010; US$ 129.00
This volume represents the proceedings of a conference on Several Complex Variables, PDE's, geometry, and their interactions, held July 7-11, 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild. The contributors are leading experts who were invited plenary speakers at the conference, or who were invited by the editors... more...
- Princeton University Press 2011; US$ 70.00
This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed... more...
- Springer 2011; US$ 89.99
Vitushkin's conjecture, a special case of Painleve's problem, states that a compact subset of the complex plane with finite linear Hausdorff measure is removable for bounded analytic functions if and only if it intersects every rectifiable curve in a set of zero arclength measure. Chapters 1-5 of the book provide important background material... more...
- Springer 2011; US$ 129.00
"Value Distribution of Meromorphic Functions" focuses on functions meromorphic in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the celebrated Nevanlinna conjecture. The book introduces various characteristics of meromorphic functions and their connections,... more...
- World Scientific Publishing Company 2010; US$ 69.00
The subject matter in this volume is Schwarz's lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years to date. This volume of lecture notes focuses on its differential geometric developments by several excellent authors including, but not limited to, L. Ahlfors, S.S. Chern, Y.C. Lu, S.T.... more...