This course provides the basics in the mathematical processes in mathematics: Linear algebra: independence, scalar product, vector, arithmetic, functions spaces. Effects, intrinsic values and subjective vectors: linear effects, values of intrinsic values, hierarchical matrices, diagonal matrices. Fourier series, integrative transformations, Fourier transform, Laplace transform, Delta function. Normal differential equations, marginal conditions and intrinsic values, Greene function, Starn-Liuve equation, sequential solutions. Special functions (Harmite, Logger, Basil). Partial differential equations, elementary conditions, separation of variables, different coordinate systems.
Main Textbook: Mathematical Methods for Physicists, by: George B. Arfken, Hans J. Weber and Frank, E. Harris; Elsevier, 7 th Ed. (2012). Subsidiary Books: .) 2005 ( Mathematical Methods in the Physical Sciences by Mary L. Boas. Publisher: Wiley; 3rd edition Mathematical Methods for Physics and Engineering by. Riley,. Hobson, S. J. Bence. Publisher: Cambridge University Press; 3rd edition (2006).