Engineering Mathematics Volume-I  (Paperback, B. K. Pal, K. Das)

• EVOLUTES & INVOLUTES • DEFINITE INTEGRAL • IMPROPER INTEGRALS • GAMMA AND BETA FUNCTION • REDUCTION FORMULA • QUADRATURE OF PLANE AREA • VOLUMES AND SURFACES OF REVOLUTION • SUCCESSIVE DIFFERENTIATION • LAWS OF MEAN • INDETERMINATE FORMS & L' HOSPITAL RULES • MAXIMA MINIMA OF A SINGLE-VARIABLE FUNCTION • DETERMINANT • INVERSE OF MATRIX • RANK & SYSTEM OF LINEAR EQUATIONS • VECTOR SPACES • EIGEN VALUES & EIGEN VECTORS • DIAGONALIZATION OF MATRICES • SEQUENCE & INFINITE SERIES • EXPANSION OF FUNCTIONS • FOURIER SERIES • MULTIVARIATE CALCULUS • JACOBIAN & HOMOGENEOUS FUNCTION • MAXIMA & MINIMA LAGRANGE MULTIPLIER • GRADIENT, DIVERGENCE AND CURL • LINEAR TRANSFORMATION • EIGEN BASES • INNER PRODUCT SPACE