Linear Methods of Applied Mathematics
by Evans M. Harrell II, James V. Herod
This online textbook is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. The text concentrates on mathematical concepts rather than on details of calculations, which are often done with software, such as Maple or Mathematica.
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by John P. Boyd - Dover Publications
The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, cardinal functions, etc.
by Francesco Mainardi (ed.) - MDPI AG
Fractional calculus is allowing integrals and derivatives of any positive order. It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type ...
by Athanase Papadopoulos - arXiv
The purpose of this paper is to show through particular examples how group theory is used in music. Examples are chosen from the theoretical work and from the compositions of Olivier Messiaen, one of the most influential twentieth century composers.
by J. E. Parker - Bookboon
This volume is the second of a three part series of texts taken during a first-year university course. Tutorial questions with fully worked solutions structured on a weekly basis to help the students to self-pace themselves are used.