The book provides a general background in matrix, determinant and vector calculus, followed by some very important aspects in mathematics such as Dirac Delta Function, Analyticity, Orthogonality, Singularity, etc., along with 'complex functions and series analysis' are considered very useful in mathematical physics. Important 'special functions' such as Hermite, Legendre, Laguerre, Chebyshev are also discussed in terms of their applications in quantum mechanics. Important 'integral transforms', such as Fourier, Laplace and Hilbert are also described with an inclination towards 'applications' for both undergraduate and postgraduate students in various branches of engineering as well as for readers in postgraduate studies in general and applied sciences. A chapter on Tensor Analysis is also included to briefly introduce the subject. This is a book where the technologist meets the mathematicians.