The following book is a recollection of superior mathematics to electronics engineering and scientists through resolved problems, in which are exposed many applications and research exercises to electronics and their prospective as are micro-electronics, sensor technology, electronic nano-components, semi-conductors, photonics, opto-electronics and spintronics. The corresponding specialized mathematics to these disciplines are conformed in several mathematics areas as are special functions and integral transforms, Fourier analysis (harmonic and non-harmonic), control theory, complex variable, differential equations (partial and ordinary), vector and tensor calculus, rational electronics and quantum field theory. Also is precisely consider the physics fundamentals though of the electromagnetic theory, solid state, physical optics, thermodynamics, physical systems dynamics, Lagrangian dynamics, and QED (Quantum Electrodynamics) and quantum mechanics, these last as part of quantum field theory.