Name | Prof. em. Dr. Horst Knörrer |
Field | Mathematik |
Consultation hours | By appointment |
Address | Dep. Mathematik ETH Zürich, HG J 58 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telephone | +41 44 632 34 22 |
Fax | +41 44 632 10 85 |
horst.knoerrer@math.ethz.ch | |
URL | http://www.math.ethz.ch/~khorst |
Department | Mathematics |
Relationship | Professor emeritus |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-1262-07L | Analysis II | 10 credits | 6V + 3U | H. Knörrer | |
Abstract | Introduction to differential and integral calculus in several real variables, vector calculus: differential, partial derivative, implicit functions, inverse function theorem, minima with constraints; Riemann integral, vector fields, differential forms, path integrals, surface integrals, divergence theorem, Stokes' theorem. | ||||
Objective | |||||
Content | Calculus in several variables; curves and surfaces in R^n; extrema with constraints; integration in n dimensions; vector calculus. | ||||
Lecture notes | Struwe: Analysis I/II, siehe https://people.math.ethz.ch/~struwe/skripten.html | ||||
Literature | K. Koenigsberger: Analysis II, Springer-Verlag R. Courant: Vorlesungen ueber Differential- und Integralrechnung. Springer Verlag V. Zorich: Analysis II. Springer Verlag 2006 http://www.springerlink.com/content/w6617h/ Chr. Blatter: Analysis. http://www.math.ethz.ch/~blatter/ H. Heuser: Lehrbuch der Analysis. Teubner Verlag W. Walter: Analysis 2. Springer Verlag O. Forster: Analysis II. Vieweg Verlag J.Appell: Analysis in Beispielen und Gegenbeispielen. Springer Verlag Link Thomas Michaels: Analysis 2 (mit vielen gerechneten Beispielen). Editres A.a.g.l. Lugano 2015 |