- Docente: Francesco Mainardi
- Credits: 9
- SSD: MAT/07
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Atmospheric physics and Meteorology (cod. 8008)
Course contents
The course consistes of lectures on black board + Skill on Fourier Analysis with MATLAB at the Informatics Laboratory of the Department of Physics (Via Irnerio 46, 40126 BOLOGNA) The program concerns Functions of complex variable, Laplace and Fourier transforms, Fourier Series, Hilbert Spaces, Orthogonal functions, Special functions: Gamma, Beta, Erf, Mittag-Leffler. Diffusion equation solved via Integral trasformos (Laplace-Fourier)
Readings/Bibliography
- Lecture Notes in English: Methods and Problems in Mathematical Physics by F. Mainardi
- F. Mainardi: Fractional Calculus and Waves in Linear Viscoelasticity, Imperial College Press - World Scientific 2010
- G.B. Arfken, H.J. Weber and F.E Harris: Mathematical Methods for Physicists (7-th ed.) Elsevier 2012.
- B. Davies: Integral Transforms and Their Applications, 3-rd Ed. Springer 2002.
- H. Jeffreys and B. Swirles Jeffreys, Methods of Mathematical Physics, Cambridge University Press, 1972
Assessment methods
Written exam with 3 exercises (books and lecture notes are admitted) + oral exam
Links to further information
Office hours
See the website of Francesco Mainardi