Introduction to analytical solutions of partial differential equations, eigenfunctions and eigenvalue problems, special functions in cylindrical and spherical coordinates, Green's functions, and transform methods. These concepts provide the necessary mathematical foundation for understanding and analyzing important physical phenomena encountered at the micro and nanoscales. Examples drawn from electromagnetics, quantum mechanics, solidstate physics, photonics, thermal transport, and microelec...
Introduction to analytical solutions of partial differential equations, eigenfunctions and eigenvalue problems, special functions in cylindrical and spherical coordinates, Green's functions, and transform methods. These concepts provide the necessary mathematical foundation for understanding and analyzing important physical phenomena encountered at the micro and nanoscales. Examples drawn from electromagnetics, quantum mechanics, solidstate physics, photonics, thermal transport, and microelec...