Learning objectives
Learn basic instruments of geometry.
Course unit content
General and algebraic topology, complex variable, curves and surfaces
Bibliography
E. Sernesi, Geometria 2, Torino Bollati Boringhieri, 1994.
V. Cecchucci, A. Tonioli, E. Vesentini, Lezioni di topologia generale, Feltrinelli, Milano, 1982.
K. Janich, Topologia, Zanichelli, Bologna, 1994.
J.L. Kelley, General topology. Graduate Texts in Mathematics, No. 27. Springer-Verlag, New York-Berlin, 1975.
M. do Carmo, Differential geometry of curves and surfaces, Prentice-Hall, Inc., Englewood Cli s, N.J., 1976.
M. Abate, F. Tovena, Curve e Superfici, Springer-Verlag Italia, Milano 2006.
C. Kosniowski, Introduzione alla topologia algebrica.
Zanichelli, Bologna, 1988.
W.S. Massey, Algebraic topology: an introduction.
Graduate Texts in Mathematics, Vol. 56. Springer-Verlag, New York-Heidelberg, 1977.
H. Cartan, Elementary theory of analytic functions of one or several complex variables, Dover Publications, Inc., New York, 1995.
R. V. Churchill, Introduction to Complex Variables and Applications, McGraw-Hill Book Company, Inc., New York, 1948.
Teaching methods
Lessons and applications.
Other information
http://www2.unipr.it/~medcos04/Geometria2.pdf