Schaum's outline of theory and problems of differential and integral calculus

2nd ed. ; 345 p. : ill. ; 28 cm. ; ISBN: 007002653X (pbk.) :; 9780070026537 (pbk.) ; LC: QA303; Dewey: 517.1 ; OCLC: 7833130 ; LC: QA303; Dewey: 517.1 ; paper wrappers ; "Including 1175 solved problems." ; Contents: Variables and functions -- Limits -- Continuity -- The derivative -- Differentiation of algebraic functions -- Implicit differentiation -- Tangents and normals -- Maximum and minimum values -- Applied problems in maxima and minima -- Rectilinear and circular motion -- Related rates -- Differentiation of trigonometric functions -- Differentiation of inverse trigonometric functions -- Differentiation of exponential and logarithmic functions -- Differentiation of hyperbolic functions -- Parametric representation of curves -- Curvature -- Plane vectors -- Curvilinear motion -- Polar coordinates -- The law of the mean -- Indeterminate forms -- Differentials -- Curve tracing -- Fundamental integration formulas -- Integration by parts -- Trigonometric integrals -- Trigonometric substitutions -- Integration by partial fractions -- Miscellaneous substitutions -- Integration of hyperbolic functions -- Applications of indefinite integrals -- The definite integral -- Plane areas by integration -- Volumes of solids of revolution -- VOlumes of solids with known cross sections -- Centroids, plane areas and solids of revolutions -- Moments of inertia, plane areas and solids of revolution -- FLuid pressure -- Work -- Length of arc -- Area of surface of revolution -- Controid and moment of inertia, arcs and surfaces of revolution -- Plane area and centroid of area, polar coordinates -- Length and centroid or arc, area of surface af revolution, polar coordinates -- Improper integrals -- Infinite sequences and series -- Tests for convergence and divergence of positive series -- Series with negative terms -- Computations with series -- Power series -- Series expansion of fuctions -- MacLaurin's and Taylor's formulas with remainders -- Computations using power series -- Approximate integration -- Partial derivatives -- Total differentials and total derivatives -- Implicit functions -- Space curves and surfaces -- Directional derivatives -- Space vectors -- Vector differentiation and integration -- Double and iterated intregrals -- Centroids and moments of inertia of plane areas, double integration -- Volume under a surface, double integration -- Area of a curved surface, double integration -- Triple integrals -- Masses of variable density -- Differential equations -- Differential equations of order two -- Index ; VG.…