[Gianluca Gorni's home page]

Lecture Notes (in Italian)

• Using your fingers to count in base 16 (42K).
• The Greek alphabet, for use in mathematics and computer science (69K).
• Cardano's solution to the third degree equation (140K).
• The induction principle (100K)
• Set theory (229K).
• Set-theoretic relations (120K).
• Peano's axioms (153K).
• Infinite cardinalities (116K).
• The square root of 2 (176K).
• Uniform continuity in dimension 1 (164K).
• Iterating functions of one variable (118K).
• Some "pathological" functions of one variable (188K).
• Limit points of a sequence of real numbers (104K).
• The sequence of the powers of a complex number (138K).
• Some different ways of making R^2 a normed space (89K).
• Cantor's set and Peano's curve (237K). See also the companion Mathematica notebook and Peano's curve QuickTime Movie (700K).
• Van der Waerden's nowhere differentiable function (256K); see also the companion Mathematica notebook.
• Some aspects of the complex exponential function explained through pictures (248K).
• An elementary proof of the fundamental theorem of Algebra (95K).
• Integration ((updated on 2006.05.01; 4.2MB). Also: printable text summary.
• A pictorial introduction to functions of two variables (2.9 MB). See also a java live 3D version of one of the graphs.
• A videogame to illustrate the definition of limit (32K) (you can play it with the free Mathematica Player).
• Pictures to illustrate Fourier series (633K).
• Semiintegrable and measurable functions (160K).
• Illustrations on Taylor polynomials (60K)
• Lusin's theorem.
• Orthogonal Projection.