Alessandra Iozzi: Katalogdaten im Frühjahrssemester 2022 |
| Name | Frau Prof. em. Dr. Alessandra Iozzi |
| Adresse | Dep. Mathematik ETH Zürich, HG G 50.1 Rämistrasse 101 8092 Zürich SWITZERLAND |
| alessandra.iozzi@math.ethz.ch | |
| URL | http://www.math.ethz.ch/~iozzi |
| Departement | Mathematik |
| Beziehung | Titularprofessorin im Ruhestand |
| Nummer | Titel | ECTS | Umfang | Dozierende | |
|---|---|---|---|---|---|
| 401-0302-10L | Komplexe Analysis  | 4 KP | 3V + 1U | A. Iozzi | |
| Kurzbeschreibung | Grundlagen der Komplexen Analysis in Theorie und Anwendung, insbesondere globale Eigenschaften analytischer Funktionen. Einführung in die Integraltransformationen und Beschreibung einiger Anwendungen | ||||
| Lernziel | Erwerb von einigen grundlegenden Werkzeuge der komplexen Analysis. | ||||
| Inhalt | Beispiele analytischer Funktionen, Cauchyscher Integralsatz, Taylor- und Laurententwicklungen, Singularitäten analytischer Funktionen, Residuenkalkül. Fourierreihen und Fourier-Transformation, Laplace-Transformation. | ||||
| Literatur | J. Brown, R. Churchill: "Complex Analysis and Applications", McGraw-Hill 1995 T. Needham. Visual complex analysis. Clarendon Press, Oxford. 2004. M. Ablowitz, A. Fokas: "Complex variables: introduction and applications", Cambridge Text in Applied Mathematics, Cambridge University Press 1997 E. Kreyszig: "Advanced Engineering Analysis", Wiley 1999 J. Marsden, M. Hoffman: "Basic complex analysis", W. H. Freeman 1999 P. P. G. Dyke: "An Introduction to Laplace Transforms and Fourier Series", Springer 2004 A. Oppenheim, A. Willsky: "Signals & Systems", Prentice Hall 1997 M. Spiegel: "Laplace Transforms", Schaum's Outlines, Mc Graw Hill | ||||
| Voraussetzungen / Besonderes | Voraussetzungen: Analysis I und II | ||||
| 401-3226-DRL | Symmetric Spaces  Only for ETH D-MATH doctoral students and for doctoral students from the Institute of Mathematics at UZH. The latter need to send an email to Jessica Bolsinger (info@zgsm.ch) with the course number. The email should have the subject „Graduate course registration (ETH)“. | 3 KP | 4G | A. Iozzi | |
| Kurzbeschreibung | * Generalities on symmetric spaces: locally and globally symmetric spaces, groups of isometries, examples * Symmetric spaces of non-compact type: flats and rank, roots and root spaces * Iwasawa decomposition, Weyl group, Cartan decomposition * Geometry at infinity | ||||
| Lernziel | Learn the basics of symmetric spaces | ||||
| 401-3226-00L | Symmetric Spaces | 8 KP | 4G | A. Iozzi | |
| Kurzbeschreibung | * Generalities on symmetric spaces: locally and globally symmetric spaces, groups of isometries, examples * Symmetric spaces of non-compact type: flats and rank, roots and root spaces * Iwasawa decomposition, Weyl group, Cartan decomposition * Geometry at infinity | ||||
| Lernziel | Learn the basics of symmetric spaces | ||||
| 401-5000-00L | Zurich Colloquium in Mathematics | 0 KP | R. Abgrall, M. Iacobelli, A. Bandeira, A. Iozzi, S. Mishra, R. Pandharipande, Uni-Dozierende | ||
| Kurzbeschreibung | The lectures try to give an overview of "what is going on" in important areas of contemporary mathematics, to a wider non-specialised audience of mathematicians. | ||||
| Lernziel | |||||
| 401-5530-00L | Geometry Seminar | 0 KP | 1K | M. Burger, M. Einsiedler, P. Feller, A. Iozzi, U. Lang, Uni-Dozierende | |
| Kurzbeschreibung | Forschungskolloquium | ||||
| Lernziel | |||||
| 401-5990-00L | Zurich Graduate Colloquium | 0 KP | A. Iozzi, Uni-Dozierende | ||
| Kurzbeschreibung | The Graduate Colloquium is an informal seminar aimed at graduate students and postdocs whose purpose is to provide a forum for communicating one's interests and thoughts in mathematics. | ||||
| Lernziel | |||||
| 406-0353-AAL | Analysis III Belegung ist NUR erlaubt für MSc Studierende, die diese Lerneinheit als Auflagenfach verfügt haben. Alle anderen Studierenden (u.a. auch Mobilitätsstudierende, Doktorierende) können diese Lerneinheit NICHT belegen. | 4 KP | 9R | A. Iozzi | |
| Kurzbeschreibung | The focus lies on the simplest cases of three fundamental types of partial differential equations of second order: the Laplace equation, the heat equation and the wave equation. | ||||
| Lernziel | |||||
| Literatur | Reference books and notes Main books: Giovanni Felder: "Partielle Differenzialgleichungen für Ingenieurinnen und Ingenieure" (Download PDF: http://www.math.ethz.ch/u/felder/Teaching/Partielle_Differenzialgleichungen ), Erwin Kreyszig: "Advanced Engineering Mathematics", John Wiley & Sons, just chapters 11, 16. Extra readings: Norbert Hungerbühler: "Einführung in die partiellen Differentialgleichungen", vdf Hochschulverlag AG an der ETH Zürich, Yehuda Pinchover, Jacob Rubinstein: "Partial Differential Equations", Cambridge University Press 2005. For reference/complement of the Analysis I/II courses: Christian Blatter: Ingenieur-Analysis (Download PDF) | ||||
| Voraussetzungen / Besonderes | The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material. | ||||