Notas finais
Listas de exercícios:
Notas de aula:
- Parte 1: pdf (com algumas correções, 03/10/08)
- Parte 2: pdf (com algumas correções, 03/10/08)
- Parte 3: pdf
- Parte 4: pdf
Bibliografia:
- Livros básicos
- Warner, Frank W.(1-PA) Foundations of differentiable manifolds and Lie groups. Corrected reprint of the 1971 edition. Graduate Texts in Mathematics, 94. Springer-Verlag, New York-Berlin, 1983. ix+272 pp. ISBN: 0-387-90894-3
- Spivak, Michael A comprehensive introduction to differential geometry. Vol. I. Second edition. Publish or Perish, Inc., Wilmington, Del., 1979. xiv+668 pp. ISBN: 0-914098-83-7
- Boothby, William M.(1-WASN) An introduction to differentiable manifolds and Riemannian geometry. Second edition. Pure and Applied Mathematics, 120. Academic Press, Inc., Orlando, FL, 1986. xvi+430 pp. ISBN: 0-12-116052-1; 0-12-116053-X
- Lee, John M.(1-WA) Introduction to smooth manifolds. (English summary) Graduate Texts in Mathematics, 218. Springer-Verlag, New York, 2003. xviii+628 pp. ISBN: 0-387-95495-3
- Lecture notes by Nigel Hitchin on differentiable manifolds: http://people.maths.ox.ac.uk/~hitchin/hitchinnotes/hitchinnotes.html
- Livros complementares
- Milnor, John W. Topology from the differentiable viewpoint. (English summary) Based on notes by David W. Weaver. Revised reprint of the 1965 original. Princeton Landmarks in Mathematics. Princeton University Press, Princeton, NJ, 1997. xii+64 pp. ISBN: 0-691-04833-9
- Guillemin, Victor; Pollack, Alan Differential topology. Prentice-Hall, Inc., Englewood Cliffs, N.J., 1974. xvi+222 pp.
- Hirsch, Morris W.(1-CA) Differential topology. (English summary) Corrected reprint of the 1976 original. Graduate Texts in Mathematics, 33. Springer-Verlag, New York, 1994. x+222 pp. ISBN: 0-387-90148-5
Horário e local das aulas: ter e qui 10-12h, no Auditorio Antônio Gilioli (sala 247/262) do bloco A do IME-USP (excepcionalmente nos dias 19/08 e 14/10, as aulas serão na sala 268 do mesmo bloco).
Critério de avaliação: haverá duas provas de pesos respectivamente 1 e 2. A primeira prova será no dia 07/10 e a segunda coincidirá com o exame final administrado pela banca de docentes indicada pela CPG