00421 - Mathematical Physics

Academic Year 2017/2018

  • Docente: Francesco Mainardi
  • Credits: 6
  • SSD: MAT/07
  • Language: Italian
  • Teaching Mode: Traditional lectures
  • Campus: Bologna
  • Corso: Second cycle degree programme (LM) in Physics (cod. 8025)

    Also valid for Second cycle degree programme (LM) in Physics of the Earth System (cod. 8626)

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

http://www.fracalmo.org

Office hours

See the website of Francesco Mainardi