MAGIC080: Geometric Mechanics

Course details

Semester

Autumn 2013
Monday, October 7th to Saturday, December 14th

Hours

Live lecture hours
10
Recorded lecture hours
0
Total advised study hours
0

Timetable

Thursdays
11:05 - 11:55

Description

The course aims to extend students' knowledge of mechanics by considering systems with symmetry and their conservation laws and allow students to develop intuition on the role of symmetry in mechanical systems.

Prerequisites

Course in Classical Mechanics, including Euler-Lagrange equations.

Syllabus

Topics covered :
  • Elements of multi-linear algebra, differential geometry and Lie group actions.
  • Euler-Poincar√ɬ© variational principles (with and without symmetry breaking)
  • One of the applications: rigid bodies, heavy tops, liquid crystal molecules, magnetic fields.
Selected texts:
  • D.D. Holm, Geometric Mechanics, Parts I & II, Imperial College Press (2011)
  • D.D. Holm, T. Schmah, C. Stoica, Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions, Oxford University Press (2009)

Lecturer

  • CT

    Dr Cesare Tronci

    University
    University of Surrey

Bibliography

No bibliography has been specified for this course.

Assessment

Description

The assessment for this course will be via a single take-home paper in January and with 2 weeks to complete and submit online. You will need to answer 50

Assessment not available

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Files

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Lectures

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