- Docente: Francesco Mainardi
- Credits: 6
- SSD: MAT/07
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
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Corso:
Second cycle degree programme (LM) in
Physics of the Earth System (cod. 8626)
Also valid for Second cycle degree programme (LM) in Physics (cod. 8025)
Course contents
Integral transforms of Lalace, Fourier and their applications. Special functions: Gamma, Beta, Bessel, Errors, Exponetial integrals, Mittag-Leffler, Wright). Introduction to Fractional Calculus. Asymptotic series and asymptotic methods. Partial differential equations of Mathematical Physics: classification and solutions of fundamental equations. Linear dispersive waves and nn linear waves. Integral equations of Fredholm, Voltera and Abel types
Readings/Bibliography
-LECTURE NOTES: 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
Teaching methods
Front lectures and exercises . Computer slides. Class and home works
Assessment methods
Oral exam including the presentation of a short thesis, edited in LaTeX-PDF) (with some original plots) on a topic related to the course chosen with the agreement of the teacher
Links to further information
Office hours
See the website of Francesco Mainardi