The Place of Partial Differential Equations in Mathematical Physics
by Ganesh Prasad
Publisher: Patna University 1924
Number of pages: 64
The chief reason for my choosing 'The place of partial differential equations in Mathematical Physics' as the subject for these lectures is my wish to inspire in my audience a love for Mathematics. Before entering into details, however, I shall give a brief historical account of the application of Mathematics to natural phenomena.
Home page url
Download or read it online for free here:
by A. Pankov - Vinnitsa State Pedagogical University
Contents: Operators in Hilbert spaces; Spectral theorem of self-adjoint operators; Compact operators and the Hilbert-Schmidt theorem; Perturbation of discrete spectrum; Variational principles; One-dimensional Schroedinger operator; etc.
by A. Zabrodin - arXiv.org
This is an introductory course on nonlinear integrable partial differential and differential-difference equations based on lectures given for students of Moscow Institute of Physics and Technology and Higher School of Economics.
by William Elwood Byerly - Ginn and company
From the table of contents: Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; ...
by A. Doikou, S. Evangelisti, G. Feverati, N. Karaiskos - arXiv
The authors review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. A short review on quantum groups as well as the quantum inverse scattering method is also presented.