New Engineering Mathematics Volume - II

"New Engineering Mathematics Volume II" covers a few core topics in classical mathematics i.e. multiple integrals, vector calculus, analytic functions, complex integration, and Laplace transforms. Methods of double and triple integration in Cartesian, cylindrical and spherical polar coordinates are introduced in a systematic manner. Beginning with the basic concepts of vector methods, the text covers the theory of vector calculus including the classical theorems of Green, Gauss and Stoke involving line, surface and volume integrals. Analytic functions and their properties are explored. The basics of complex integration and related theorems of Cauchy, Taylor and Laurent and applications to contour integration are discussed with a number of model problems. A detailed treatment of Laplace transforms, its general properties and applications to solutions of linear differential equations is given for easy understanding of concepts in this classical theory.