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401-1262-07L  Analysis II

SemesterSpring Semester 2016
LecturersH. Knörrer
Periodicityyearly recurring course
Language of instructionGerman


AbstractIntroduction 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
ContentCalculus in several variables; curves and surfaces in R^n; extrema with constraints; integration in n dimensions; vector calculus.
Lecture notesStruwe: Analysis I/II, siehe
https://people.math.ethz.ch/~struwe/skripten.html
LiteratureK. 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