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Vorlesung: Differential Forms

News

The exercise sessions will commence on April 24, 2018.

Organization

  • Lectures
    • Lecturer: PD Dr. Peter Massopust
    • Module Number: MA 5016
    • ECTS-Points: 6
    • Time: Wed 10:15 - 11:45 PM
    • Place: MI 02.10.011
  • Exercise Session
    • Time: 14:00 - 15:30
    • Place: MI 01.10.011

Contents

  • Multilinear Mappings and their Properties
  • Differential Forms
  • Exterior Product and Exterior Differentiation
  • Derivatives and Integrals of Differential Forms
  • Theorem of Stokes and its Relation to Classical Vector Analysis
  • Physical Interpretation of Differential Forms and Applications to Electrodynamics

Problem Sets

Lectures

Literature

  • Skript Differentialformen
  • I. Agricola u. T. Friedrich, Global Analysis: Differential Forms in Analysis, Geometry, and Physics, AMS Graduate Studies in Mathematics, Vol. 52, 2002.
    Deutsche Neuauflage unter dem Titel Vektoranalysis, Vieweg + Teubner, 2010. (basic)
  • H. Cartan, Differentialformen, Bibliographisches Institut, Mannheim, 1985. (basic)
  • H. Holmann u. H. Rummler, Alternierende Differentialformen, Bibliographisches Institut, Mannheim, 1972. (advanced)