Manfred Einsiedler: Katalogdaten im Herbstsemester 2017

NameHerr Prof. Dr. Manfred Einsiedler
LehrgebietMathematik
Adresse
Professur für Mathematik
ETH Zürich, HG G 64.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Auszeichnung: Die Goldene Eule
Telefon+41 44 632 31 84
E-Mailmanfred.einsiedler@math.ethz.ch
URLhttp://www.math.ethz.ch/~einsiedl
DepartementMathematik
BeziehungOrdentlicher Professor

NummerTitelECTSUmfangDozierende
401-1261-07LAnalysis I Information 10 KP6V + 3UM. Einsiedler
KurzbeschreibungEinführung in die Differential- und Integralrechnung in einer reellen Veränderlichen: Grundbegriffe des mathematischen Denkens, Zahlen, Folgen und Reihen, topologische Grundbegriffe, stetige Funktionen, differenzierbare Funktionen, gewöhnliche Differentialgleichungen, Riemannsche Integration.
LernzielMathematisch exakter Umgang mit Grundbegriffen der Differential-und Integralrechnung.
LiteraturH. Amann, J. Escher: Analysis I
https://link.springer.com/book/10.1007/978-3-7643-7756-4

J. Appell: Analysis in Beispielen und Gegenbeispielen
https://link.springer.com/book/10.1007/978-3-540-88903-8

R. Courant: Vorlesungen über Differential- und Integralrechnung
https://link.springer.com/book/10.1007/978-3-642-61988-5

O. Forster: Analysis 1
https://link.springer.com/book/10.1007/978-3-658-00317-3

H. Heuser: Lehrbuch der Analysis
https://link.springer.com/book/10.1007/978-3-322-96828-9

K. Königsberger: Analysis 1
https://link.springer.com/book/10.1007/978-3-642-18490-1

W. Walter: Analysis 1
https://link.springer.com/book/10.1007/3-540-35078-0

V. Zorich: Mathematical Analysis I (englisch)
https://link.springer.com/book/10.1007/978-3-662-48792-1

A. Beutelspacher: "Das ist o.B.d.A. trivial"
https://link.springer.com/book/10.1007/978-3-8348-9599-8

H. Schichl, R. Steinbauer: Einführung in das mathematische Arbeiten
https://link.springer.com/book/10.1007/978-3-642-28646-9
401-3370-67LSeminar on Homogeneous Dynamics and Applications Belegung eingeschränkt - Details anzeigen
Maximale Teilnehmerzahl: 12
4 KP2SM. Einsiedler, M. Akka Ginosar, Ç. Sert
KurzbeschreibungThis seminar is offered to students taking the course Homogeneous Dynamics and Applications. It will give some more details and fill in some of the background of the material in the course. Exercises will also be an integral part of the seminar.
Lernziel
InhaltSeminar website: https://metaphor.ethz.ch/x/2017/hs/401-3370-67L/
Voraussetzungen / BesonderesThe seminar is restricted to 12 students, registration will be finalised in the first week of the semester.
401-3375-67LHomogeneous Dynamics and Applications8 KP4GM. Einsiedler, M. Akka Ginosar, Ç. Sert
KurzbeschreibungThe aim is to reach a few of the applications of homogeneous dynamics to number theory, e.g. counting results concerning quadratic forms, but also develop the theory from scratch. The first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume.
LernzielThe aim is to reach a few of the applications of homogeneous dynamics to number theory, e.g. counting results concerning quadratic forms, but also develop the theory from scratch. The first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume.
InhaltThe first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume. Some of the aims of the course are:
-) Pointwise ergodic theorem for a certain class of amenable groups
-) Dynamics on hyperbolic surfaces, equidistribution of periodic horocycle orbits
-) Applications to counting
-) Some cases of Ratner theorems in Unipotent dynamics


Course website: https://metaphor.ethz.ch/x/2017/hs/401-3375-67L/
401-5530-00LGeometry Seminar Information 0 KP1KM. Burger, M. Einsiedler, A. Iozzi, A. Sisto, Uni-Dozierende
KurzbeschreibungResearch colloquium
Lernziel