Mathematical methods in science and engineering / Ş. Selçuk Bayin

Includes bibliographical references (pages 665-668) and index

Nature and mathematics -- Legendre equation and polynomials -- Laguerre polynomials -- Hermite polynomials -- Gegenbauer and Chebyshev polynomials -- Bessel functions -- Hypergeometric functions -- Sturm-Liouville theory -- Sturm-Liouville systems and the factorization method -- Coordinates and tensors -- Continuous groups and representations -- Complex variables and functions -- Complex integrals and series -- Fractional derivatives and integrals : differintegrals -- Infinite series -- Integral transforms -- Variational analysis -- Integral equations -- Green's functions -- Green's functions and path integrals