Manfred Einsiedler: Catalogue data in Autumn Semester 2021 |  |
| Name | Prof. Dr. Manfred Einsiedler |
| Field | Mathematics |
| Address | Professur für Mathematik ETH Zürich, HG G 64.2 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telephone | +41 44 632 31 84 |
| manfred.einsiedler@math.ethz.ch | |
| URL | http://www.math.ethz.ch/~einsiedl |
| Department | Mathematics |
| Relationship | Full Professor |
| Number | Title | ECTS | Hours | Lecturers | |
|---|---|---|---|---|---|
| 401-1261-07L | Analysis I: One Variable  | 10 credits | 6V + 3U | M. Einsiedler | |
| Abstract | Introduction to the differential and integral calculus in one real variable: fundaments of mathematical thinking, numbers, sequences, basic point set topology, continuity, differentiable functions, ordinary differential equations, Riemann integration. | ||||
| Learning objective | The ability to work with the basics of calculus in a mathematically rigorous way. | ||||
| Literature | H. 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 | ||||
| 401-5370-00L | Ergodic Theory and Dynamical Systems | 0 credits | 1K | M. Akka Ginosar, M. Einsiedler, University lecturers | |
| Abstract | Research colloquium | ||||
| Learning objective | |||||
| 401-5530-00L | Geometry Seminar | 0 credits | 1K | M. Burger, M. Einsiedler, P. Feller, A. Iozzi, U. Lang, University lecturers | |
| Abstract | Research colloquium | ||||
| Learning objective | |||||
| 406-2005-AAL | Algebra I and II 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. | 12 credits | 26R | M. Burger, M. Einsiedler | |
| Abstract | Introduction and development of some basic algebraic structures - groups, rings, fields including Galois theory, representations of finite groups, algebras. The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material. | ||||
| Learning objective | |||||
| Content | Basic notions and examples of groups; Subgroups, Quotient groups and Homomorphisms, Group actions and applications Basic notions and examples of rings; Ring Homomorphisms, ideals, and quotient rings, rings of fractions Euclidean domains, Principal ideal domains, Unique factorization domains Basic notions and examples of fields; Field extensions, Algebraic extensions, Classical straight edge and compass constructions Fundamentals of Galois theory Representation theory of finite groups and algebras | ||||
| Literature | Joseph J. Rotman, "Advanced Modern Algebra" third edition, part 1, Graduate Studies in Mathematics,Volume 165 American Mathematical Society | ||||