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General


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.

Semester

Spring 2018 (Monday, January 22 to Friday, March 16; Monday, April 23 to Friday, May 4)

Timetable

  • Wed 09:05 - 09:55

Prerequisites

Course in Classical Mechanics, including Euler-Lagrange equations.

Syllabus

Topics covered :
  • Elements of multi-linear algebra, differential geometry and Lie group actions.
  • Euler-PoincarĂ© 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


Cesare Tronci
Email c.tronci@surrey.ac.uk
Phone 01483 68 3356


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