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HU Credits:
4
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
2nd Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Prof. Genadi Levin
Coordinator Office Hours:
By appointment.
Teaching Staff:
Prof Genady Levin
Course/Module description:
Basic principles of complex analysis. Harmonic functions.
Univalent functions. Modular function and applications.
Weierstrass and Mittag-Leffler theorems. Special functions (Gamma and Riemann's Zeta functions, partition function). Extremal length method, modulus of topological annulus.
Introduction to the theory of quasiconformal mappings of the plane.
Course/Module aims:
Same as in learning outcomes.
Learning outcomes - On successful completion of this module, students should be able to:
Familiarity with the main principles of complex analysis.
Familiarity with the geometric theory of functions of complex variable
Familiarity with the analytic theory and special functions
Understanding the relations to other areas of mathematics
To learn basic notions of the theory of quasiconformal
mappings
Attendance requirements(%):
0
Teaching arrangement and method of instruction:
Lecture
Course/Module Content:
Basic principles of complex analysis. Harmonic functions.
Univalent functions. Modular function and applications.
Weierstrass and Mittag-Leffler theorems. Special functions (Gamma and Riemann's Zeta functions, partition function). Extremal length method, modulus of topological annulus.
Introduction to the theory of quasiconformal mappings of the plane.
Required Reading:
none
Additional Reading Material:
L. Ahlfors, Complex Analysis.
G.M. Goluzin, Geometric Theory of Functions of Complex Variable.
P. Henrici, Applied and Computational Complex Analysis, I-III.
L. Ahlfors, Lectures on Quasiconformal Mappings.
Grading Scheme :
Additional information:
none
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