Advanced engineering mathematics /
R. K. Jain and S.R.K. Iyengar
- Fifth edition.
- Oxford, United Kingdom : Alpha Science International Ltd, c2016
- 1 volume (various pagings) : illustrations ; 25 cm.
Includes index.
Functions of a real variable -- Functions of several real varialbles -- Matrices and Eigenvalue problems -- Ordinary differential equations of first order -- Linear differential equations -- Series solution of differential equation -- Legendre polynomials, Chebyster polynomials, bessel functions and sturm-liouville problem -- Laplace transformation -- Fourier series, fourier integrals and fourier transforms -- Functions of a complex varialble: analytic functions -- Integration of complex functions -- Power series, taylor and laurent series -- Zeros, singularities and residues -- Bilinear transformation and conformal mapping -- vector differential and integral calculus -- partial differential equations -- transformation -- Numerical methods -- Theory of probability -- Mathematical statistics-tests of significance
This textbook offers a logical and lucid presentation of both the theory and problem solving techniques so that the student is not lost in unnecessary details.