Thomas Hans Willwacher: Catalogue data in Autumn Semester 2021

Name Prof. Dr. Thomas Hans Willwacher
FieldMathematics
Address
Professur für Mathematik
ETH Zürich, HG G 27.5
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 30 87
E-mailthomas.willwacher@math.ethz.ch
URLhttp://www.math.ethz.ch/~wilthoma
DepartmentMathematics
RelationshipFull Professor

NumberTitleECTSHoursLecturers
401-2303-00LComplex Analysis6 credits3V + 2UT. H. Willwacher
AbstractComplex functions of one variable, Cauchy-Riemann equations, Cauchy theorem and integral formula, singularities, residue theorem, index of closed curves, analytic continuation, special functions, conformal mappings, Riemann mapping theorem.
ObjectiveWorking knowledge of functions of one complex variables; in particular applications of the residue theorem.
LiteratureB. Palka: "An introduction to complex function theory."
Undergraduate Texts in Mathematics. Springer-Verlag, 1991.

E.M. Stein, R. Shakarchi: Complex Analysis. Princeton University Press, 2010

Th. Gamelin: Complex Analysis. Springer 2001

E. Titchmarsh: The Theory of Functions. Oxford University Press

D. Salamon: "Funktionentheorie". Birkhauser, 2011. (In German)

L. Ahlfors: "Complex analysis. An introduction to the theory of analytic functions of one complex variable." International Series in Pure and Applied Mathematics. McGraw-Hill Book Co.

K.Jaenich: Funktionentheorie. Springer Verlag

R.Remmert: Funktionentheorie I. Springer Verlag

E.Hille: Analytic Function Theory. AMS Chelsea Publications
401-5330-00LTalks in Mathematical Physics Information 0 credits1KA. Cattaneo, G. Felder, M. Gaberdiel, G. M. Graf, T. H. Willwacher
AbstractResearch colloquium
Objective
406-2303-AALComplex Analysis
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
6 credits13RT. H. Willwacher
AbstractComplex functions of one variable, Cauchy-Riemann equations, Cauchy theorem and integral formula, singularities, residue theorem, index of closed curves, analytic continuation, conformal mappings, Riemann mapping theorem.
Objective
LiteratureL. Ahlfors: "Complex analysis. An introduction to the theory of analytic functions of one complex variable." International Series in Pure and Applied Mathematics. McGraw-Hill Book Co.

B. Palka: "An introduction to complex function theory."
Undergraduate Texts in Mathematics. Springer-Verlag, 1991.

R.Remmert: Theory of Complex Functions.. Springer Verlag

E.Hille: Analytic Function Theory. AMS Chelsea Publication