Information

Lecturer

Lectures

  • Monday 10:15-12:00, room MA21.
  • Thursday 14:15-16:00, room F4.

Practice session

  • Tuesday 16:15-17:00, room F3. First time Jan.18.

Textbook

  • D. Barden & C. Thomas, An Introduction to Differential Manifolds, Imperial College Press
  • B. Dundas , see below. In practice, we have been following this book rather than Barden &Thomas, because the latter book became available at the book store very late, and it is more advanced and too brief on many topics.

Alternative books and additional literature

  • Bjørn Dundas, Differential Topology. Gratis tilgjengeleg
  • M.Spivak, A comprehensive Introduction to Differential Geometry, Vol.1. Publish or Perish.
  • A.A. Kosinski, Differential Manifolds. With a New Appendix by J.W. Morgan on the Work of Grigory Pererman, Dover Publications, 2007.
  • J.M. Lee, Introduction to Smooth manifolds, Springer-Verlag.
  • T.Bröcker, K.Jänich, Introduction to differential topology, Cambridge Univ. Press, 1982.
  • F. Brickell,R.S.Clark, Differentiable manifolds, Van Nostrand Reinhold, London 1970
  • W.M. Boothby, An introduction to differentiable manifolds and Riemannian geometry, Academic Press, 1975.
  • J. R.Munkres, Analysis on manifolds, Westview Press 1991
  • J. Milnor, Topology from the differentiable viewpoint, The University Press of Virginia,1969
  • Guillemin and Pollack, Differential Topology, Prentice Hall, 1974 (eller nyare)
  • Per Holm, Differensialformer og mangfoldigheter, http://www.math.uio.no/~pholm/mangfold.html

Note. The recent edition of Kosinski's book (see above) is also interesting because of the new appendix on Perelman's work and the Poincare conjecture

Exam

  • Thursday, 9 June, 2011.
2011-04-11, Eldar Straume